diff --git a/nav.bundle.js b/nav.bundle.js index ee26fba..3a08f9c 100644 --- a/nav.bundle.js +++ b/nav.bundle.js @@ -3,7 +3,7 @@ var h = require('h'); var css = require('insert-css'); var path = require('path'); -var demoList = JSON.parse("[{\"id\":\"cubic-roots\",\"path\":\"../cubic-roots/\",\"title\":\"Cubic Roots ↔︎ Equilateral Triangle\",\"order\":3300,\"description\":\"An interactive reproduction of a diagram by Freya Holmér\",\"thumbnailPath\":\"static/cubic-roots-thumbnail.jpg\"},{\"id\":\"calabi-yau\",\"path\":\"../calabi-yau/\",\"title\":\"Calabi-Yau Manifolds\",\"order\":3200,\"description\":\"A simple plot of Calabi-Yau manifolds; nothing more, nothing less\",\"thumbnailPath\":\"static/calabi-yau-thumbnail.jpg\"},{\"id\":\"lawsons-klein-bottle\",\"path\":\"../lawsons-klein-bottle/\",\"title\":\"Lawson's Klein Bottle\",\"order\":3200,\"description\":\"3D sterographic projection of a 4D Klein bottle\",\"thumbnailPath\":\"static/lawsons-klein-bottle-thumbnail.jpg\"},{\"id\":\"boys-surface\",\"path\":\"../boys-surface/\",\"title\":\"Boy's Surface\",\"order\":3100,\"description\":\"An immersion of the real projective plane in 3D space\",\"thumbnailPath\":\"static/boys-surface-thumbnail.jpg\"},{\"id\":\"clifford-torus\",\"path\":\"../clifford-torus/\",\"title\":\"Clifford Torus\",\"order\":3000,\"description\":\"3D sterographic projection of a 4D Clifford torus\",\"thumbnailPath\":\"static/clifford-torus-thumbnail.jpg\"},{\"id\":\"webcam-kmeans\",\"path\":\"../webcam-kmeans/\",\"title\":\"K-Means\",\"order\":2900,\"description\":\"Live k-means on a video feed with Lloyd's algorithm\",\"thumbnailPath\":\"static/webcam-kmeans-thumbnail.jpg\"},{\"id\":\"moire\",\"path\":\"../moire/\",\"title\":\"Moiré\",\"order\":2800,\"description\":\"Just moiré\",\"thumbnailPath\":\"static/moire-thumbnail.jpg\"},{\"id\":\"ikeda\",\"path\":\"../ikeda/\",\"title\":\"Ikeda Map\",\"order\":2700,\"description\":\"A discrete chaotic attractor\",\"thumbnailPath\":\"static/ikeda-thumbnail.jpg\"},{\"id\":\"hertzsprung-russell\",\"path\":\"../hertzsprung-russell/\",\"title\":\"Hertzsprung-Russell Diagram\",\"order\":2600,\"description\":\"Star magnitudes and temperatures\",\"thumbnailPath\":\"static/hertzsprung-russell-thumbnail.jpg\"},{\"id\":\"mandelbrot\",\"path\":\"../mandelbrot/\",\"title\":\"Mandelbrot\",\"order\":2500,\"description\":\"Drawing the first iterations of the Mandelbrot set as a complex function\",\"thumbnailPath\":\"static/mandelbrot-thumbnail.jpg\"},{\"id\":\"pulsar\",\"path\":\"../pulsar/\",\"title\":\"Pulsar\",\"order\":2400,\"description\":\"Signals and noise (no physical significance)\",\"thumbnailPath\":\"static/pulsar-thumbnail.png\"},{\"id\":\"multiscale-turing-patterns\",\"path\":\"../multiscale-turing-patterns/\",\"title\":\"Multiscale Turing Patterns\",\"order\":2300,\"description\":\"Multiscale turing patterns, as described by Jonathan McCabe\",\"thumbnailPath\":\"static/multiscale-turing-patterns-thumbnail.jpg\"},{\"id\":\"magnet\",\"path\":\"../magnet/\",\"title\":\"Magnet\",\"order\":2200,\"description\":\"Just a magnetic field\",\"thumbnailPath\":\"static/magnet-thumbnail.jpg\"},{\"id\":\"potential-flow\",\"path\":\"../potential-flow/\",\"title\":\"Potential Flow\",\"order\":2100,\"description\":\"Procedural (almost) potential flow with curl noise\",\"thumbnailPath\":\"static/potential-flow-thumbnail.jpg\"},{\"id\":\"ueda-attractor\",\"path\":\"../ueda-attractor/\",\"title\":\"Ueda Attractor\",\"order\":2000,\"description\":\"Ueda's chaotic nonlinear oscillator\",\"thumbnailPath\":\"static/ueda-attractor-thumbnail.jpg\"},{\"id\":\"path-integral-diffraction\",\"path\":\"../path-integral-diffraction/\",\"title\":\"Single-slit diffraction\",\"order\":1900,\"description\":\"Diffraction of a 1D wavefunction through a slit using Feynman's path integral approach\",\"thumbnailPath\":\"static/path-integral-diffraction-thumbnail.jpg\"},{\"id\":\"fibonacci-sphere\",\"path\":\"../fibonacci-sphere/\",\"title\":\"Fibonacci Sphere\",\"order\":1800,\"description\":\"From Martin Roberts' article about evenly distributed points on a sphere\",\"thumbnailPath\":\"static/fibonacci-sphere-thumbnail.jpg\"},{\"id\":\"gray-scott-reaction-diffusion\",\"path\":\"../gray-scott-reaction-diffusion/\",\"title\":\"Gray Scott Reaction Diffusion\",\"order\":1700,\"description\":\"Reacting species diffusing at different rates\",\"thumbnailPath\":\"static/gray-scott-reaction-diffusion-thumbnail.jpg\"},{\"id\":\"rule-30\",\"path\":\"../rule-30/\",\"title\":\"Rule 30\",\"order\":1600,\"description\":\"Stephen Wolfram's 1D cellular automata\",\"thumbnailPath\":\"static/rule-30-thumbnail.png\"},{\"id\":\"line-integral-convolution\",\"path\":\"../line-integral-convolution/\",\"title\":\"Line Integral Convolution\",\"order\":1500,\"description\":\"Visualizing vector fields with Line Integral Convolution (LIC)\",\"thumbnailPath\":\"static/line-integral-convolution-thumbnail.jpg\"},{\"id\":\"iterative-closest-point\",\"path\":\"../iterative-closest-point/\",\"title\":\"Rigid Point Cloud Alignment\",\"order\":1400,\"description\":\"Aligning point clouds with the Iterative Closest Point method\",\"thumbnailPath\":\"static/iterative-closest-point-thumbnail.png\"},{\"id\":\"spherical-harmonics\",\"path\":\"../spherical-harmonics/\",\"title\":\"Spherical Harmonics\",\"order\":1300,\"description\":\"Just a plot of the first few spherical harmonics\",\"thumbnailPath\":\"static/spherical-harmonics-thumbnail.jpg\"},{\"id\":\"domain-coloring-with-scaling\",\"path\":\"../domain-coloring-with-scaling/\",\"title\":\"Domain Coloring with Contour Scaling\",\"order\":1200,\"description\":\"Using OES_standard_derivatives to scale contours to the local gradient of a function\",\"thumbnailPath\":\"static/domain-coloring-with-scaling-thumbnail.jpg\"},{\"id\":\"flamms-paraboloid\",\"path\":\"../flamms-paraboloid/\",\"title\":\"Flamm's Paraboloid\",\"order\":1100,\"description\":\"Scroll to build Flamm's Paraboloid\",\"thumbnailPath\":\"static/flamms-paraboloid-thumbnail.jpg\"},{\"id\":\"continuum-gravity\",\"path\":\"../continuum-gravity/\",\"title\":\"Continuum Gravity\",\"order\":1000,\"description\":\"One million particles interacting gravitationally via a Poisson equation solved on a 2D grid\",\"thumbnailPath\":\"static/continuum-gravity-thumbnail.jpg\"},{\"id\":\"kuramoto-sivashinsky\",\"path\":\"../kuramoto-sivashinsky/\",\"title\":\"Kuramoto-Sivashinsky\",\"order\":900,\"description\":\"Integrating the 2D Kuramoto-Sivashinsky Equation, ∂u/∂t + ∇⁴u + ∇²u + ½ |∇u|² = 0\",\"thumbnailPath\":\"static/kuramoto-sivashinsky-thumbnail.jpg\"},{\"id\":\"karman-trefftz-airfoil\",\"path\":\"../karman-trefftz-airfoil/\",\"title\":\"Karman-Trefftz Airfoil\",\"order\":700,\"description\":\"Flow over an airfoil, computed with the Karman-Trefftz conformal map and visualized on the GPU\",\"thumbnailPath\":\"static/karman-trefftz-airfoil-thumbnail.jpg\"},{\"id\":\"periodic-three-body-orbits\",\"path\":\"../periodic-three-body-orbits/\",\"title\":\"Periodic Three-Body Orbits\",\"order\":600,\"description\":\"Periodic solutions of three bodies interacting via Newtonian gravity\",\"thumbnailPath\":\"static/periodic-three-body-orbits-thumbnail.jpg\"},{\"id\":\"hydrodynamic-instabilities\",\"path\":\"../hydrodynamic-instabilities/\",\"title\":\"Hydrodynamic Instabilities\",\"order\":500,\"description\":\"The Kelvin-Helmholtz and Rayleigh-Taylor hydrodynamic instabilities\",\"thumbnailPath\":\"static/hydrodynamic-instabilities-thumbnail.jpg\"},{\"id\":\"strange-attractors\",\"path\":\"../strange-attractors/\",\"title\":\"Strange Attractors\",\"order\":450,\"description\":\"Strange attractors on the GPU\",\"thumbnailPath\":\"static/strange-attractors-thumbnail.jpg\"},{\"id\":\"schwarzschild-spacetime\",\"path\":\"../schwarzschild-spacetime/\",\"title\":\"Schwarzschild Trajectories\",\"order\":350,\"description\":\"Integrating particle geodesics in Schwarzschild spacetime (a black hole).\",\"thumbnailPath\":\"static/schwarzschild-spacetime-thumbnail.jpg\"},{\"id\":\"random-polynomial-roots\",\"path\":\"../random-polynomial-roots/\",\"title\":\"Polynomial Roots\",\"order\":300,\"description\":\"Roots of a polynomial with random coefficients, plotted in the complex plane\",\"thumbnailPath\":\"static/random-polynomial-roots-thumbnail.jpg\"},{\"id\":\"umbilic-torus\",\"path\":\"../umbilic-torus/\",\"title\":\"Umbilic Torus\",\"order\":300,\"description\":\"Umbilic Torus\",\"thumbnailPath\":\"static/umbilic-torus-thumbnail.jpg\"},{\"id\":\"lamb-wave-dispersion\",\"path\":\"../lamb-wave-dispersion/\",\"title\":\"Lamb Wave Dispersion Relation\",\"order\":220,\"description\":\"Plotting the the complex dispersion relation for elastodynamic plate waves; zeros represent valid modes\",\"thumbnailPath\":\"static/lamb-wave-dispersion-thumbnail.jpg\"},{\"id\":\"fluid-simulation\",\"path\":\"../fluid-simulation/\",\"title\":\"Fluid Simluation\",\"order\":210,\"description\":\"Classic semi-Lagrangian fluid simulation from Visual Simulation of Smoke\",\"thumbnailPath\":\"static/fluid-simulation-thumbnail.jpg\"},{\"id\":\"erosion\",\"path\":\"../erosion/\",\"title\":\"Erosion\",\"order\":100,\"description\":\"An ad-hoc particle-based terrain erosion algorithm, computed on the GPU\",\"thumbnailPath\":\"static/erosion-thumbnail.jpg\"},{\"id\":\"centripetal-b-splines\",\"path\":\"../centripetal-b-splines/\",\"title\":\"Centripetal B-Splines\",\"order\":80,\"description\":\"Experimenting with centripetal parameterization for B-splines\",\"thumbnailPath\":\"static/centripetal-b-splines-thumbnail.png\"},{\"id\":\"smooth-life\",\"path\":\"../smooth-life/\",\"title\":\"Smooth Life\",\"order\":80,\"description\":\"Conway's Game of Life, generalized to a continuum and solved on the GPU\",\"thumbnailPath\":\"static/smooth-life-thumbnail.jpg\"},{\"id\":\"logistic-map\",\"path\":\"../logistic-map/\",\"title\":\"Logistic Map\",\"order\":20,\"description\":\"The chaotic logistic map, computed and displayed on the GPU\",\"thumbnailPath\":\"static/logistic-map-thumbnail.jpg\"},{\"id\":\"nose-hoover-attractor\",\"path\":\"../nose-hoover-attractor/\",\"title\":\"Nosé-Hoover Attractor\",\"order\":8,\"description\":\"Plotting a strange attractor with 2D rectangles\",\"thumbnailPath\":\"static/nose-hoover-attractor-thumbnail.jpg\"},{\"id\":\"vortex-sdf\",\"path\":\"../vortex-sdf/\",\"title\":\"Vortex\",\"order\":7,\"description\":\"A vortex, rendered as a single signed distance function\",\"thumbnailPath\":\"static/vortex-sdf-thumbnail.jpg\"},{\"id\":\"k-means\",\"path\":\"../k-means/\",\"title\":\"K-means clustering\",\"order\":5,\"description\":\"WIP refactoring of the kmpp npm module\",\"thumbnailPath\":\"static/k-means-thumbnail.jpg\"},{\"id\":\"double-pendulum\",\"path\":\"../double-pendulum/\",\"title\":\"Double Pendulum\",\"order\":3,\"description\":\"Accumulating long-term patterns in a chaotic double-pendulum\",\"thumbnailPath\":\"static/double-pendulum-thumbnail.jpg\"}]"); +var demoList = JSON.parse("[{\"id\":\"quasiinfinite-zoom\",\"path\":\"../quasiinfinite-zoom/\",\"title\":\"Quasiinfinite zoom\",\"order\":3400,\"description\":\"Repeated quasirandom points to create the illusion of infinite zoom\",\"thumbnailPath\":\"static/quasiinfinite-zoom-thumbnail.jpg\"},{\"id\":\"cubic-roots\",\"path\":\"../cubic-roots/\",\"title\":\"Cubic Roots ↔︎ Equilateral Triangle\",\"order\":3300,\"description\":\"An interactive reproduction of a diagram by Freya Holmér\",\"thumbnailPath\":\"static/cubic-roots-thumbnail.jpg\"},{\"id\":\"calabi-yau\",\"path\":\"../calabi-yau/\",\"title\":\"Calabi-Yau Manifolds\",\"order\":3200,\"description\":\"A simple plot of Calabi-Yau manifolds; nothing more, nothing less\",\"thumbnailPath\":\"static/calabi-yau-thumbnail.jpg\"},{\"id\":\"lawsons-klein-bottle\",\"path\":\"../lawsons-klein-bottle/\",\"title\":\"Lawson's Klein Bottle\",\"order\":3200,\"description\":\"3D sterographic projection of a 4D Klein bottle\",\"thumbnailPath\":\"static/lawsons-klein-bottle-thumbnail.jpg\"},{\"id\":\"boys-surface\",\"path\":\"../boys-surface/\",\"title\":\"Boy's Surface\",\"order\":3100,\"description\":\"An immersion of the real projective plane in 3D space\",\"thumbnailPath\":\"static/boys-surface-thumbnail.jpg\"},{\"id\":\"clifford-torus\",\"path\":\"../clifford-torus/\",\"title\":\"Clifford Torus\",\"order\":3000,\"description\":\"3D sterographic projection of a 4D Clifford torus\",\"thumbnailPath\":\"static/clifford-torus-thumbnail.jpg\"},{\"id\":\"webcam-kmeans\",\"path\":\"../webcam-kmeans/\",\"title\":\"K-Means\",\"order\":2900,\"description\":\"Live k-means on a video feed with Lloyd's algorithm\",\"thumbnailPath\":\"static/webcam-kmeans-thumbnail.jpg\"},{\"id\":\"moire\",\"path\":\"../moire/\",\"title\":\"Moiré\",\"order\":2800,\"description\":\"Just moiré\",\"thumbnailPath\":\"static/moire-thumbnail.jpg\"},{\"id\":\"ikeda\",\"path\":\"../ikeda/\",\"title\":\"Ikeda Map\",\"order\":2700,\"description\":\"A discrete chaotic attractor\",\"thumbnailPath\":\"static/ikeda-thumbnail.jpg\"},{\"id\":\"hertzsprung-russell\",\"path\":\"../hertzsprung-russell/\",\"title\":\"Hertzsprung-Russell Diagram\",\"order\":2600,\"description\":\"Star magnitudes and temperatures\",\"thumbnailPath\":\"static/hertzsprung-russell-thumbnail.jpg\"},{\"id\":\"mandelbrot\",\"path\":\"../mandelbrot/\",\"title\":\"Mandelbrot\",\"order\":2500,\"description\":\"Drawing the first iterations of the Mandelbrot set as a complex function\",\"thumbnailPath\":\"static/mandelbrot-thumbnail.jpg\"},{\"id\":\"pulsar\",\"path\":\"../pulsar/\",\"title\":\"Pulsar\",\"order\":2400,\"description\":\"Signals and noise (no physical significance)\",\"thumbnailPath\":\"static/pulsar-thumbnail.png\"},{\"id\":\"multiscale-turing-patterns\",\"path\":\"../multiscale-turing-patterns/\",\"title\":\"Multiscale Turing Patterns\",\"order\":2300,\"description\":\"Multiscale turing patterns, as described by Jonathan McCabe\",\"thumbnailPath\":\"static/multiscale-turing-patterns-thumbnail.jpg\"},{\"id\":\"magnet\",\"path\":\"../magnet/\",\"title\":\"Magnet\",\"order\":2200,\"description\":\"Just a magnetic field\",\"thumbnailPath\":\"static/magnet-thumbnail.jpg\"},{\"id\":\"potential-flow\",\"path\":\"../potential-flow/\",\"title\":\"Potential Flow\",\"order\":2100,\"description\":\"Procedural (almost) potential flow with curl noise\",\"thumbnailPath\":\"static/potential-flow-thumbnail.jpg\"},{\"id\":\"ueda-attractor\",\"path\":\"../ueda-attractor/\",\"title\":\"Ueda Attractor\",\"order\":2000,\"description\":\"Ueda's chaotic nonlinear oscillator\",\"thumbnailPath\":\"static/ueda-attractor-thumbnail.jpg\"},{\"id\":\"path-integral-diffraction\",\"path\":\"../path-integral-diffraction/\",\"title\":\"Single-slit diffraction\",\"order\":1900,\"description\":\"Diffraction of a 1D wavefunction through a slit using Feynman's path integral approach\",\"thumbnailPath\":\"static/path-integral-diffraction-thumbnail.jpg\"},{\"id\":\"fibonacci-sphere\",\"path\":\"../fibonacci-sphere/\",\"title\":\"Fibonacci Sphere\",\"order\":1800,\"description\":\"From Martin Roberts' article about evenly distributed points on a sphere\",\"thumbnailPath\":\"static/fibonacci-sphere-thumbnail.jpg\"},{\"id\":\"gray-scott-reaction-diffusion\",\"path\":\"../gray-scott-reaction-diffusion/\",\"title\":\"Gray Scott Reaction Diffusion\",\"order\":1700,\"description\":\"Reacting species diffusing at different rates\",\"thumbnailPath\":\"static/gray-scott-reaction-diffusion-thumbnail.jpg\"},{\"id\":\"rule-30\",\"path\":\"../rule-30/\",\"title\":\"Rule 30\",\"order\":1600,\"description\":\"Stephen Wolfram's 1D cellular automata\",\"thumbnailPath\":\"static/rule-30-thumbnail.png\"},{\"id\":\"line-integral-convolution\",\"path\":\"../line-integral-convolution/\",\"title\":\"Line Integral Convolution\",\"order\":1500,\"description\":\"Visualizing vector fields with Line Integral Convolution (LIC)\",\"thumbnailPath\":\"static/line-integral-convolution-thumbnail.jpg\"},{\"id\":\"iterative-closest-point\",\"path\":\"../iterative-closest-point/\",\"title\":\"Rigid Point Cloud Alignment\",\"order\":1400,\"description\":\"Aligning point clouds with the Iterative Closest Point method\",\"thumbnailPath\":\"static/iterative-closest-point-thumbnail.png\"},{\"id\":\"spherical-harmonics\",\"path\":\"../spherical-harmonics/\",\"title\":\"Spherical Harmonics\",\"order\":1300,\"description\":\"Just a plot of the first few spherical harmonics\",\"thumbnailPath\":\"static/spherical-harmonics-thumbnail.jpg\"},{\"id\":\"domain-coloring-with-scaling\",\"path\":\"../domain-coloring-with-scaling/\",\"title\":\"Domain Coloring with Contour Scaling\",\"order\":1200,\"description\":\"Using OES_standard_derivatives to scale contours to the local gradient of a function\",\"thumbnailPath\":\"static/domain-coloring-with-scaling-thumbnail.jpg\"},{\"id\":\"flamms-paraboloid\",\"path\":\"../flamms-paraboloid/\",\"title\":\"Flamm's Paraboloid\",\"order\":1100,\"description\":\"Scroll to build Flamm's Paraboloid\",\"thumbnailPath\":\"static/flamms-paraboloid-thumbnail.jpg\"},{\"id\":\"continuum-gravity\",\"path\":\"../continuum-gravity/\",\"title\":\"Continuum Gravity\",\"order\":1000,\"description\":\"One million particles interacting gravitationally via a Poisson equation solved on a 2D grid\",\"thumbnailPath\":\"static/continuum-gravity-thumbnail.jpg\"},{\"id\":\"kuramoto-sivashinsky\",\"path\":\"../kuramoto-sivashinsky/\",\"title\":\"Kuramoto-Sivashinsky\",\"order\":900,\"description\":\"Integrating the 2D Kuramoto-Sivashinsky Equation, ∂u/∂t + ∇⁴u + ∇²u + ½ |∇u|² = 0\",\"thumbnailPath\":\"static/kuramoto-sivashinsky-thumbnail.jpg\"},{\"id\":\"karman-trefftz-airfoil\",\"path\":\"../karman-trefftz-airfoil/\",\"title\":\"Karman-Trefftz Airfoil\",\"order\":700,\"description\":\"Flow over an airfoil, computed with the Karman-Trefftz conformal map and visualized on the GPU\",\"thumbnailPath\":\"static/karman-trefftz-airfoil-thumbnail.jpg\"},{\"id\":\"periodic-three-body-orbits\",\"path\":\"../periodic-three-body-orbits/\",\"title\":\"Periodic Three-Body Orbits\",\"order\":600,\"description\":\"Periodic solutions of three bodies interacting via Newtonian gravity\",\"thumbnailPath\":\"static/periodic-three-body-orbits-thumbnail.jpg\"},{\"id\":\"hydrodynamic-instabilities\",\"path\":\"../hydrodynamic-instabilities/\",\"title\":\"Hydrodynamic Instabilities\",\"order\":500,\"description\":\"The Kelvin-Helmholtz and Rayleigh-Taylor hydrodynamic instabilities\",\"thumbnailPath\":\"static/hydrodynamic-instabilities-thumbnail.jpg\"},{\"id\":\"strange-attractors\",\"path\":\"../strange-attractors/\",\"title\":\"Strange Attractors\",\"order\":450,\"description\":\"Strange attractors on the GPU\",\"thumbnailPath\":\"static/strange-attractors-thumbnail.jpg\"},{\"id\":\"schwarzschild-spacetime\",\"path\":\"../schwarzschild-spacetime/\",\"title\":\"Schwarzschild Trajectories\",\"order\":350,\"description\":\"Integrating particle geodesics in Schwarzschild spacetime (a black hole).\",\"thumbnailPath\":\"static/schwarzschild-spacetime-thumbnail.jpg\"},{\"id\":\"random-polynomial-roots\",\"path\":\"../random-polynomial-roots/\",\"title\":\"Polynomial Roots\",\"order\":300,\"description\":\"Roots of a polynomial with random coefficients, plotted in the complex plane\",\"thumbnailPath\":\"static/random-polynomial-roots-thumbnail.jpg\"},{\"id\":\"umbilic-torus\",\"path\":\"../umbilic-torus/\",\"title\":\"Umbilic Torus\",\"order\":300,\"description\":\"Umbilic Torus\",\"thumbnailPath\":\"static/umbilic-torus-thumbnail.jpg\"},{\"id\":\"lamb-wave-dispersion\",\"path\":\"../lamb-wave-dispersion/\",\"title\":\"Lamb Wave Dispersion Relation\",\"order\":220,\"description\":\"Plotting the the complex dispersion relation for elastodynamic plate waves; zeros represent valid modes\",\"thumbnailPath\":\"static/lamb-wave-dispersion-thumbnail.jpg\"},{\"id\":\"fluid-simulation\",\"path\":\"../fluid-simulation/\",\"title\":\"Fluid Simluation\",\"order\":210,\"description\":\"Classic semi-Lagrangian fluid simulation from Visual Simulation of Smoke\",\"thumbnailPath\":\"static/fluid-simulation-thumbnail.jpg\"},{\"id\":\"erosion\",\"path\":\"../erosion/\",\"title\":\"Erosion\",\"order\":100,\"description\":\"An ad-hoc particle-based terrain erosion algorithm, computed on the GPU\",\"thumbnailPath\":\"static/erosion-thumbnail.jpg\"},{\"id\":\"centripetal-b-splines\",\"path\":\"../centripetal-b-splines/\",\"title\":\"Centripetal B-Splines\",\"order\":80,\"description\":\"Experimenting with centripetal parameterization for B-splines\",\"thumbnailPath\":\"static/centripetal-b-splines-thumbnail.png\"},{\"id\":\"smooth-life\",\"path\":\"../smooth-life/\",\"title\":\"Smooth Life\",\"order\":80,\"description\":\"Conway's Game of Life, generalized to a continuum and solved on the GPU\",\"thumbnailPath\":\"static/smooth-life-thumbnail.jpg\"},{\"id\":\"logistic-map\",\"path\":\"../logistic-map/\",\"title\":\"Logistic Map\",\"order\":20,\"description\":\"The chaotic logistic map, computed and displayed on the GPU\",\"thumbnailPath\":\"static/logistic-map-thumbnail.jpg\"},{\"id\":\"nose-hoover-attractor\",\"path\":\"../nose-hoover-attractor/\",\"title\":\"Nosé-Hoover Attractor\",\"order\":8,\"description\":\"Plotting a strange attractor with 2D rectangles\",\"thumbnailPath\":\"static/nose-hoover-attractor-thumbnail.jpg\"},{\"id\":\"vortex-sdf\",\"path\":\"../vortex-sdf/\",\"title\":\"Vortex\",\"order\":7,\"description\":\"A vortex, rendered as a single signed distance function\",\"thumbnailPath\":\"static/vortex-sdf-thumbnail.jpg\"},{\"id\":\"k-means\",\"path\":\"../k-means/\",\"title\":\"K-means clustering\",\"order\":5,\"description\":\"WIP refactoring of the kmpp npm module\",\"thumbnailPath\":\"static/k-means-thumbnail.jpg\"},{\"id\":\"double-pendulum\",\"path\":\"../double-pendulum/\",\"title\":\"Double Pendulum\",\"order\":3,\"description\":\"Accumulating long-term patterns in a chaotic double-pendulum\",\"thumbnailPath\":\"static/double-pendulum-thumbnail.jpg\"}]"); var demoIndex = {}; demoList.forEach(function (demo) { demoIndex[demo.id] = demo; @@ -95,7 +95,132 @@ nav.addEventListener('touchcancel', e => e.stopPropagation()); document.body.appendChild(nav); -},{"h":3,"insert-css":4,"path":2}],2:[function(require,module,exports){ +},{"h":2,"insert-css":3,"path":4}],2:[function(require,module,exports){ +;(function () { + +function h() { + var args = [].slice.call(arguments), e = null + function item (l) { + + function parseClass (string) { + var m = string.split(/([\.#]?[a-zA-Z0-9_-]+)/) + m.forEach(function (v) { + var s = v.substring(1,v.length) + if(!v) return + if(!e) + e = document.createElement(v) + else if (v[0] === '.') + e.classList.add(s) + else if (v[0] === '#') + e.setAttribute('id', s) + + }) + } + + if(l == null) + ; + else if('string' === typeof l) { + if(!e) + parseClass(l) + else + e.appendChild(document.createTextNode(l)) + } + else if('number' === typeof l + || 'boolean' === typeof l + || l instanceof Date + || l instanceof RegExp ) { + e.appendChild(document.createTextNode(l.toString())) + } + else if (Array.isArray(l)) + l.forEach(item) + else if(l instanceof HTMLElement) + e.appendChild(l) + else if ('object' === typeof l) { + for (var k in l) { + if('function' === typeof l[k]) + e.addEventListener(k, l[k]) + else if(k === 'style') { + for (var s in l[k]) + e.style.setProperty(s, l[k][s]) + } + else + e.setAttribute(k, l[k]) + } + } + } + while(args.length) { + item(args.shift()) + } + return e +} + +if(typeof module === 'object') + module.exports = h +else + this.h = h +})() + +},{}],3:[function(require,module,exports){ +var containers = []; // will store container HTMLElement references +var styleElements = []; // will store {prepend: HTMLElement, append: HTMLElement} + +var usage = 'insert-css: You need to provide a CSS string. Usage: insertCss(cssString[, options]).'; + +function insertCss(css, options) { + options = options || {}; + + if (css === undefined) { + throw new Error(usage); + } + + var position = options.prepend === true ? 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b/quasiinfinite-zoom/index.html new file mode 100644 index 0000000..9943a38 --- /dev/null +++ b/quasiinfinite-zoom/index.html @@ -0,0 +1,13 @@ +Quasiinfinite zoom + + + + + + + + + + + + \ No newline at end of file diff --git a/sketches/index.html b/sketches/index.html index ff0e578..07f83aa 100644 --- a/sketches/index.html +++ b/sketches/index.html @@ -20,7 +20,7 @@ -

Sketches

A set of experiments and explorations, mostly using the regl WebGL library, some computed on the GPU and some on the CPU. The source for all content and projects on this site can be found here.

Comments? Questions? Let me know @rreusser@mathstodon.xyz.

Cubic Roots ↔︎ Equilateral TriangleAn interactive reproduction of a diagram by Freya HolmérCalabi-Yau ManifoldsA simple plot of Calabi-Yau manifolds; nothing more, nothing lessLawson's Klein Bottle3D sterographic projection of a 4D Klein bottleBoy's SurfaceAn immersion of the real projective plane in 3D spaceClifford Torus3D sterographic projection of a 4D Clifford torusK-MeansLive k-means on a video feed with Lloyd's algorithmMoiréJust moiréIkeda MapA discrete chaotic attractorHertzsprung-Russell DiagramStar magnitudes and temperaturesMandelbrotDrawing the first iterations of the Mandelbrot set as a complex functionPulsarSignals and noise (no physical significance)Multiscale Turing PatternsMultiscale turing patterns, as described by Jonathan McCabeMagnetJust a magnetic fieldPotential FlowProcedural (almost) potential flow with curl noiseUeda AttractorUeda's chaotic nonlinear oscillatorSingle-slit diffractionDiffraction of a 1D wavefunction through a slit using Feynman's path integral approachFibonacci SphereFrom Martin Roberts' article about evenly distributed points on a sphereGray Scott Reaction DiffusionReacting species diffusing at different ratesRule 30Stephen Wolfram's 1D cellular automataLine Integral ConvolutionVisualizing vector fields with Line Integral Convolution (LIC)Rigid Point Cloud AlignmentAligning point clouds with the Iterative Closest Point methodSpherical HarmonicsJust a plot of the first few spherical harmonicsDomain Coloring with Contour ScalingUsing OES_standard_derivatives to scale contours to the local gradient of a functionFlamm's ParaboloidScroll to build Flamm's ParaboloidContinuum GravityOne million particles interacting gravitationally via a Poisson equation solved on a 2D gridKuramoto-SivashinskyIntegrating the 2D Kuramoto-Sivashinsky Equation, ∂u/∂t + ∇⁴u + ∇²u + ½ |∇u|² = 0Karman-Trefftz AirfoilFlow over an airfoil, computed with the Karman-Trefftz conformal map and visualized on the GPUPeriodic Three-Body OrbitsPeriodic solutions of three bodies interacting via Newtonian gravityHydrodynamic InstabilitiesThe Kelvin-Helmholtz and Rayleigh-Taylor hydrodynamic instabilitiesStrange AttractorsStrange attractors on the GPUSchwarzschild TrajectoriesIntegrating particle geodesics in Schwarzschild spacetime (a black hole).Polynomial RootsRoots of a polynomial with random coefficients, plotted in the complex planeUmbilic TorusUmbilic TorusLamb Wave Dispersion RelationPlotting the the complex dispersion relation for elastodynamic plate waves; zeros represent valid modesFluid SimluationClassic semi-Lagrangian fluid simulation from Visual Simulation of SmokeErosionAn ad-hoc particle-based terrain erosion algorithm, computed on the GPUCentripetal B-SplinesExperimenting with centripetal parameterization for B-splinesSmooth LifeConway's Game of Life, generalized to a continuum and solved on the GPULogistic MapThe chaotic logistic map, computed and displayed on the GPUNosé-Hoover AttractorPlotting a strange attractor with 2D rectanglesVortexA vortex, rendered as a single signed distance functionK-means clusteringWIP refactoring of the kmpp npm moduleDouble PendulumAccumulating long-term patterns in a chaotic double-pendulum
© 2023 Ricky Reusser
+

Sketches

A set of experiments and explorations, mostly using the regl WebGL library, some computed on the GPU and some on the CPU. The source for all content and projects on this site can be found here.

Comments? Questions? Let me know @rreusser@mathstodon.xyz.

Quasiinfinite zoomRepeated quasirandom points to create the illusion of infinite zoomCubic Roots ↔︎ Equilateral TriangleAn interactive reproduction of a diagram by Freya HolmérCalabi-Yau ManifoldsA simple plot of Calabi-Yau manifolds; nothing more, nothing lessLawson's Klein Bottle3D sterographic projection of a 4D Klein bottleBoy's SurfaceAn immersion of the real projective plane in 3D spaceClifford Torus3D sterographic projection of a 4D Clifford torusK-MeansLive k-means on a video feed with Lloyd's algorithmMoiréJust moiréIkeda MapA discrete chaotic attractorHertzsprung-Russell DiagramStar magnitudes and temperaturesMandelbrotDrawing the first iterations of the Mandelbrot set as a complex functionPulsarSignals and noise (no physical significance)Multiscale Turing PatternsMultiscale turing patterns, as described by Jonathan McCabeMagnetJust a magnetic fieldPotential FlowProcedural (almost) potential flow with curl noiseUeda AttractorUeda's chaotic nonlinear oscillatorSingle-slit diffractionDiffraction of a 1D wavefunction through a slit using Feynman's path integral approachFibonacci SphereFrom Martin Roberts' article about evenly distributed points on a sphereGray Scott Reaction DiffusionReacting species diffusing at different ratesRule 30Stephen Wolfram's 1D cellular automataLine Integral ConvolutionVisualizing vector fields with Line Integral Convolution (LIC)Rigid Point Cloud AlignmentAligning point clouds with the Iterative Closest Point methodSpherical HarmonicsJust a plot of the first few spherical harmonicsDomain Coloring with Contour ScalingUsing OES_standard_derivatives to scale contours to the local gradient of a functionFlamm's ParaboloidScroll to build Flamm's ParaboloidContinuum GravityOne million particles interacting gravitationally via a Poisson equation solved on a 2D gridKuramoto-SivashinskyIntegrating the 2D Kuramoto-Sivashinsky Equation, ∂u/∂t + ∇⁴u + ∇²u + ½ |∇u|² = 0Karman-Trefftz AirfoilFlow over an airfoil, computed with the Karman-Trefftz conformal map and visualized on the GPUPeriodic Three-Body OrbitsPeriodic solutions of three bodies interacting via Newtonian gravityHydrodynamic InstabilitiesThe Kelvin-Helmholtz and Rayleigh-Taylor hydrodynamic instabilitiesStrange AttractorsStrange attractors on the GPUSchwarzschild TrajectoriesIntegrating particle geodesics in Schwarzschild spacetime (a black hole).Polynomial RootsRoots of a polynomial with random coefficients, plotted in the complex planeUmbilic TorusUmbilic TorusLamb Wave Dispersion RelationPlotting the the complex dispersion relation for elastodynamic plate waves; zeros represent valid modesFluid SimluationClassic semi-Lagrangian fluid simulation from Visual Simulation of SmokeErosionAn ad-hoc particle-based terrain erosion algorithm, computed on the GPUCentripetal B-SplinesExperimenting with centripetal parameterization for B-splinesSmooth LifeConway's Game of Life, generalized to a continuum and solved on the GPULogistic MapThe chaotic logistic map, computed and displayed on the GPUNosé-Hoover AttractorPlotting a strange attractor with 2D rectanglesVortexA vortex, rendered as a single signed distance functionK-means clusteringWIP refactoring of the kmpp npm moduleDouble PendulumAccumulating long-term patterns in a chaotic double-pendulum
© 2023 Ricky Reusser
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ctx.pixelRatio * (props.margin.r + props.margin.l), + height: (ctx, props) => ctx.viewportHeight - ctx.pixelRatio * (props.margin.t + props.margin.b) + }, + uniforms: { + viewportResolution: (ctx, props) => [ + ctx.viewportWidth, + ctx.viewportHeight + ], + framebufferResolution: (ctx) => [ + ctx.framebufferWidth, + ctx.framebufferHeight + ], + inverseViewportResolution: (ctx, props) => [ + 1 / ctx.viewportWidth, + 1 / ctx.viewportHeight + ], + inverseFramebufferResolution: (ctx) => [ + 1 / ctx.framebufferWidth, + 1 / ctx.framebufferHeight + ], + pixelRatio: regl.context("pixelRatio") + } + }); + + return function (viewport, callback) { + const margin = Object.assign({}, DEFAULT_MARGIN); + if (viewport && viewport.margin) Object.assign(margin, viewport.margin); + command({ margin }, callback); + }; +}; diff --git a/src/src/quasiinfinite-zoom/create-zoom.js b/src/src/quasiinfinite-zoom/create-zoom.js new file mode 100644 index 0000000..6d5a6f7 --- /dev/null +++ b/src/src/quasiinfinite-zoom/create-zoom.js @@ -0,0 +1,45 @@ +const d3 = require('d3'); + +function createZoom(scales, onZoom) { + const xOriginal = scales.x.copy(); + const yOriginal = scales.y.copy(); + + return d3.zoom() + .scaleExtent([1e-5, 1e5]) + .on("zoom", function () { + const t = d3.event.transform; + let range = scales.x.range().map(t.invertX, t); + scales.x.domain(xOriginal.domain()); + scales.x.domain(range.map(scales.x.invert, scales.x)); + + range = scales.y.range().map(t.invertY, t); + scales.y.domain(yOriginal.domain()); + scales.y.domain(range.map(scales.y.invert, scales.y)); + scales.dirty = true; + + onZoom && onZoom(); + }); +} + +module.exports = function attachPanZoom(el, scales, onZoom) { + const xRange = scales.x.range(); + const yRange = scales.y.range(); + const aspect = (xRange[1] - xRange[0]) / (yRange[0] - yRange[1]); + + const xDom = scales.x.domain(); + const yDom = scales.y.domain(); + const yRng = 0.5 * (yDom[1] - yDom[0]); + const xCen = 0.5 * (xDom[1] + xDom[0]); + const xMin = xCen - yRng * aspect; + const xMax = xCen + yRng * aspect; + const yMin = yDom[0]; + const yMax = yDom[1]; + + scales.x.domain([xMin, xMax]).range(xRange); + scales.y.domain([yMin, yMax]).range(yRange); + + el.__zoom = null; + d3.select(el).call(createZoom(scales, onZoom)); + + onZoom && onZoom(); +} diff --git a/src/src/quasiinfinite-zoom/draw-box.js b/src/src/quasiinfinite-zoom/draw-box.js new file mode 100644 index 0000000..7901ccd --- /dev/null +++ b/src/src/quasiinfinite-zoom/draw-box.js @@ -0,0 +1,23 @@ +'use strict'; + +module.exports = function (regl) { + return regl({ + vert: ` + precision highp float; + attribute vec2 xy; + uniform float globalScale; + void main () { + gl_Position = vec4(xy * globalScale, 0, 1); + }`, + frag: ` + precision lowp float; + void main () { + gl_FragColor = vec4(1, 0, 0, 1); + }`, + attributes: { + xy: [-1, -1, 1, -1, 1, 1, -1, 1, -1, -1] + }, + primitive: 'line strip', + count: 5 + }); +} diff --git a/src/src/quasiinfinite-zoom/draw-points.js b/src/src/quasiinfinite-zoom/draw-points.js new file mode 100644 index 0000000..67bba68 --- /dev/null +++ b/src/src/quasiinfinite-zoom/draw-points.js @@ -0,0 +1,106 @@ +const mat4create = require('gl-mat4/create'); + +function mod(n, m) { + return ((n % m) + m) % m; +} + +module.exports = function (regl) { + return regl({ + vert: ` + precision highp float; + attribute vec3 uv; + uniform sampler2D colorscale; + uniform float pixelRatio, pointSize, z, aspect, zblend, zrange, globalScale, scalePoints, fadeOutStart, fadeInEnd; + uniform vec2 xDomain, yDomain; + uniform vec4 domain; + uniform mat4 inverseView, view; + varying float opacity, vPointSize; + varying vec4 color; + + float linearstep (float a, float b, float x) { + return clamp((x - a) / (b - a), 0.0, 1.0); + } + + void main () { + float scale = pow(2.0, z + uv.z * zblend); + + vec2 cen = (domain.zw + domain.xy) * 0.5; + vec2 rng = (domain.zw - domain.xy) * vec2(1, aspect) * (0.5 * scale); + + vec2 base = pow(vec2(2.0), ceil(log2(2.0 * rng))); + vec2 offset = base * floor(0.5 * domain.xy / base) * 2.0; + vec2 offset2 = base * floor(domain.xy / base); + vec2 shift = mod(offset2 / base, 2.0); + + vec2 xy = uv.xy; + xy += shift * vec2(lessThan(xy, vec2(0.5))); + xy = xy * (2.0 * base) + offset; + gl_Position = view * vec4(xy, 0, 1); + + float zfrac = 1.0 - fract(log2(2.0 * rng.x)) + z; + float sc = zrange / 3.0; + opacity = smoothstep(0.0, 0.01 + 3.0 * fadeInEnd * sc, zfrac) * smoothstep(3.0 * sc, 2.999 * fadeOutStart * sc, zfrac); + + gl_PointSize = pixelRatio * pointSize * pow(2.0, (zfrac - zrange * 0.5) * scalePoints); + vPointSize = gl_PointSize; + + color = texture2D(colorscale, vec2(uv.z, 0.5)); + + gl_Position.xy *= globalScale; + }`, + frag: ` + precision highp float; + varying float opacity, vPointSize; + uniform float pixelRatio, pointSize; + varying vec4 color; + float linearstep (float a, float b, float x) { + return clamp((x - a) / (b - a), 0.0, 1.0); + } + void main () { + float r = length(gl_PointCoord.xy - 0.5) * 2.0 * vPointSize; + float alpha = linearstep(vPointSize, vPointSize - 1.0, r); + if (alpha == 0.0) discard; + gl_FragColor = color; + gl_FragColor.a *= opacity * alpha; + }`, + attributes: { + uv: regl.prop('xy') + }, + uniforms: { + pixelRatio: regl.context('pixelRatio'), + pointSize: regl.prop('pointSize'), + offset: regl.prop('offset'), + base: regl.prop('base'), + shift: regl.prop('shift'), + aspect: ({viewportWidth, viewportHeight}) => viewportWidth / viewportHeight, + z: regl.prop('z'), + xDomain: regl.prop('xDomain'), + yDomain: regl.prop('yDomain'), + domain: (_, {xDomain, yDomain}) => [xDomain[0], yDomain[0], xDomain[1], yDomain[1]], + zrange: regl.prop('zrange'), + zblend: regl.prop('zblend'), + colorscale: regl.prop('colorscale'), + fadeOutStart: regl.prop('fadeOutStart'), + fadeInEnd: regl.prop('fadeInEnd'), + scalePoints: (_, {scalePoints}) => scalePoints ? 1 : 0 + }, + blend: { + enable: true, + func: { + srcRGB: 'src alpha', + srcAlpha: 1, + dstRGB: 1, + dstAlpha: 1 + }, + equation: { + rgb: 'add', + alpha: 'add' + }, + }, + depth: { + enable: false + }, + primitive: 'points', + count: regl.prop('count') + }); +}; diff --git a/src/src/quasiinfinite-zoom/index.js b/src/src/quasiinfinite-zoom/index.js new file mode 100644 index 0000000..201a061 --- /dev/null +++ b/src/src/quasiinfinite-zoom/index.js @@ -0,0 +1,164 @@ +const d3 = require('d3'); +const createZoom = require('./create-zoom.js'); +const mat4create = require('gl-mat4/create'); +const mat4multiply = require('gl-mat4/multiply'); +const mat4invert = require('gl-mat4/invert'); +const mat4fromScaling = require('gl-mat4/fromScaling'); +const css = require('insert-css'); +const failIfNot = require('fail-nicely'); + +css(` +canvas { cursor: move; } +.sketch-nav { + left: 0 !important; + right: auto !important; + text-align: left !important; +} +.tick line { + stroke: white; +} +.tick text { + fill: white; +} +.domain { + stroke: white !important; +} +svg { + z-index: 1; + position: relative; + pointer-events: none; +}; +`); + +function mod(n, m) { + return ((n % m) + m) % m; +} + +const State = require('controls-state'); +const GUI = require('controls-gui'); + +const regl = require('regl')({ + attributes: {antialias: true}, + optionalExtensions: [ ], + onDone: failIfNot(run), +}); + +function qrand2d(i) { + const g = 1.32471795724474602596; + const a1 = 1.0 / g; + const a2 = 1.0 / (g * g); + return [ + (0.5 + a1 * i) % 1 + (Math.random() * 2 - 1) * 0.001, + (0.5 + a2 * i) % 1 + (Math.random() * 2 - 1) * 0.001, + Math.random() + ]; +} + +function lut(interpolator, n = 256) { + return new Uint8ClampedArray(d3.quantize(interpolator, n).map(c => { + return (c = d3.rgb(c)), [c.r, c.g, c.b, 255]; + }).flat()); +} + +function run (regl) { + const MAX_POINTS = 1000000; + + const state = GUI(State({ + count: State.Slider(100000, {min: 1000, max: MAX_POINTS, step: 1}), + zrange: State.Slider(3.5, {min: 2, max: 6, step: 0.1}), + zblend: State.Slider(0.5, {min: 0, max: 1, step: 0.1}), + pointSize: State.Slider(5, {min: 1, max: 10, step: 0.1}), + fadeInEnd: State.Slider(0.2, {min: 0, max: 1, step: 0.01}), + fadeOutStart: State.Slider(0.5, {min: 0, max: 1, step: 0.01}), + debug: State.Slider(0, {min: 0, max: 3, step: 0.01}), + scalePoints: true, + })); + + const colorscale = regl.texture({ + width: 256, + height: 1, + mag: 'nearest', + min: 'nearest', + data: lut(d3.interpolateViridis) + }); + + const xy = regl.buffer([...Array(MAX_POINTS).keys()].map(qrand2d)); + + const configureUniforms = require('./configure-uniforms.js')(regl); + const drawPoints = require('./draw-points.js')(regl); + + const canvas = regl._gl.canvas; + + const scales = window.scales = { + x: d3.scaleLinear().domain([-canvas.width / canvas.height, canvas.width / canvas.height]), + y: d3.scaleLinear().domain([-0.99, 0.99]), + dirty: true + }; + + const margin = { + l: 50, r: 20, t: 20, b: 30 + }; + + const svg = d3.create('svg'); + const xaxis = svg.append('g'); + const yaxis = svg.append('g'); + document.body.append(svg.node()); + function updateAxis() { + const {innerWidth: w, innerHeight: h} = window; + svg.attr('width', w) + svg.attr('height', h) + xaxis + .attr('transform', `translate(0,${h - margin.b})`) + .call(d3.axisBottom(scales.x)); + yaxis + .attr('transform', `translate(${margin.l},0)`) + .call(d3.axisLeft(scales.y)); + } + + const pixelRatio = regl._gl.canvas.width / regl._gl.canvas.offsetWidth; + + function onResize () { + const {innerWidth: w, innerHeight: h} = window; + scales.x.range([margin.l, w - margin.r]); + scales.y.range([h - margin.b, margin.t]); + scales.dirty = true; + createZoom(canvas, scales); + updateAxis(); + } + + onResize(); + window.addEventListener('resize', onResize); + state.$onChange(() => scales.dirty = true); + + const configureViewport = require('./configure-viewport.js')(regl); + const configureLinearScales = require('./configure-linear-scales.js')(regl); + const drawBox = require('./draw-box.js')(regl); + + let loop = regl.frame(({tick}) => { + try { + configureViewport({margin}, () => { + configureLinearScales(scales, ({dirty, xDomain, yDomain, viewportWidth, viewportHeight}) => { + if (!dirty) return; + regl.clear({color: [0.1, 0.1, 0.1, 1]}); + configureUniforms(state, () => { + for (let z = 0; z < Math.floor(state.zrange + state.zblend); z++) { + drawPoints({ + ...state, + xy, + xDomain, + yDomain, + z, + colorscale, + }); + } + if (state.debug) drawBox(); + }); + updateAxis(); + }); + }); + } catch (e) { + console.error(e); + loop.cancel(); + } + }); +} diff --git a/src/src/quasiinfinite-zoom/mat3-from-linear-scales.js b/src/src/quasiinfinite-zoom/mat3-from-linear-scales.js new file mode 100644 index 0000000..4c75844 --- /dev/null +++ b/src/src/quasiinfinite-zoom/mat3-from-linear-scales.js @@ -0,0 +1,20 @@ +module.exports = function mat3fromLinearScales(out, scales) { + let xDomain = scales.x.domain(); + let yDomain = scales.y.domain(); + let xs = 2 / (xDomain[1] - xDomain[0]); + let ys = 2 / (yDomain[1] - yDomain[0]); + + out[0] = xs; + out[1] = 0; + out[2] = 0; + + out[3] = 0; + out[4] = ys; + out[5] = 0; + + out[6] = -1 - xs * xDomain[0]; + out[7] = -1 - ys * yDomain[0]; + out[8] = 1; + + return out; +} diff --git a/src/src/quasiinfinite-zoom/mat4-from-mat3.js b/src/src/quasiinfinite-zoom/mat4-from-mat3.js new file mode 100644 index 0000000..87f340f --- /dev/null +++ b/src/src/quasiinfinite-zoom/mat4-from-mat3.js @@ -0,0 +1,21 @@ +module.exports = function mat4fromMat3(out, a) { + out[0] = a[0]; + out[1] = a[1]; + out[2] = 0; + out[3] = a[2]; + + out[4] = a[3]; + out[5] = a[4]; + out[6] = 0; + out[7] = a[5]; + + out[8] = 0; + out[9] = 0; + out[10] = 1; + out[11] = 0; + + out[12] = a[6]; + out[13] = a[7]; + out[14] = 0; + out[15] = a[8]; +} diff --git a/src/src/quasiinfinite-zoom/metadata.json b/src/src/quasiinfinite-zoom/metadata.json new file mode 100644 index 0000000..ef612e5 --- /dev/null +++ b/src/src/quasiinfinite-zoom/metadata.json @@ -0,0 +1,5 @@ +{ + "title": "Quasiinfinite zoom", + "description": "Repeated quasirandom points to create the illusion of infinite zoom", + "order": 3400 +} diff --git a/src/src/quasiinfinite-zoom/thumbnail.jpg b/src/src/quasiinfinite-zoom/thumbnail.jpg new file mode 100644 index 0000000..7375d61 Binary files /dev/null and b/src/src/quasiinfinite-zoom/thumbnail.jpg differ diff --git a/src/src/sketches/index.json b/src/src/sketches/index.json index e01d1a0..1a02ebe 100644 --- a/src/src/sketches/index.json +++ b/src/src/sketches/index.json @@ -1 +1 @@ -[{"id":"cubic-roots","path":"../cubic-roots/","title":"Cubic Roots ↔︎ Equilateral Triangle","order":3300,"description":"An interactive reproduction of a diagram by Freya Holmér","thumbnailPath":"static/cubic-roots-thumbnail.jpg"},{"id":"calabi-yau","path":"../calabi-yau/","title":"Calabi-Yau Manifolds","order":3200,"description":"A simple plot of Calabi-Yau manifolds; nothing more, nothing less","thumbnailPath":"static/calabi-yau-thumbnail.jpg"},{"id":"lawsons-klein-bottle","path":"../lawsons-klein-bottle/","title":"Lawson's Klein Bottle","order":3200,"description":"3D sterographic projection of a 4D Klein bottle","thumbnailPath":"static/lawsons-klein-bottle-thumbnail.jpg"},{"id":"boys-surface","path":"../boys-surface/","title":"Boy's Surface","order":3100,"description":"An immersion of the real projective plane in 3D space","thumbnailPath":"static/boys-surface-thumbnail.jpg"},{"id":"clifford-torus","path":"../clifford-torus/","title":"Clifford Torus","order":3000,"description":"3D sterographic projection of a 4D Clifford torus","thumbnailPath":"static/clifford-torus-thumbnail.jpg"},{"id":"webcam-kmeans","path":"../webcam-kmeans/","title":"K-Means","order":2900,"description":"Live k-means on a video feed with Lloyd's algorithm","thumbnailPath":"static/webcam-kmeans-thumbnail.jpg"},{"id":"moire","path":"../moire/","title":"Moiré","order":2800,"description":"Just moiré","thumbnailPath":"static/moire-thumbnail.jpg"},{"id":"ikeda","path":"../ikeda/","title":"Ikeda Map","order":2700,"description":"A discrete chaotic attractor","thumbnailPath":"static/ikeda-thumbnail.jpg"},{"id":"hertzsprung-russell","path":"../hertzsprung-russell/","title":"Hertzsprung-Russell Diagram","order":2600,"description":"Star magnitudes and temperatures","thumbnailPath":"static/hertzsprung-russell-thumbnail.jpg"},{"id":"mandelbrot","path":"../mandelbrot/","title":"Mandelbrot","order":2500,"description":"Drawing the first iterations of the Mandelbrot set as a complex function","thumbnailPath":"static/mandelbrot-thumbnail.jpg"},{"id":"pulsar","path":"../pulsar/","title":"Pulsar","order":2400,"description":"Signals and noise (no physical significance)","thumbnailPath":"static/pulsar-thumbnail.png"},{"id":"multiscale-turing-patterns","path":"../multiscale-turing-patterns/","title":"Multiscale Turing Patterns","order":2300,"description":"Multiscale turing patterns, as described by Jonathan McCabe","thumbnailPath":"static/multiscale-turing-patterns-thumbnail.jpg"},{"id":"magnet","path":"../magnet/","title":"Magnet","order":2200,"description":"Just a magnetic field","thumbnailPath":"static/magnet-thumbnail.jpg"},{"id":"potential-flow","path":"../potential-flow/","title":"Potential Flow","order":2100,"description":"Procedural (almost) potential flow with curl noise","thumbnailPath":"static/potential-flow-thumbnail.jpg"},{"id":"ueda-attractor","path":"../ueda-attractor/","title":"Ueda Attractor","order":2000,"description":"Ueda's chaotic nonlinear oscillator","thumbnailPath":"static/ueda-attractor-thumbnail.jpg"},{"id":"path-integral-diffraction","path":"../path-integral-diffraction/","title":"Single-slit diffraction","order":1900,"description":"Diffraction of a 1D wavefunction through a slit using Feynman's path integral approach","thumbnailPath":"static/path-integral-diffraction-thumbnail.jpg"},{"id":"fibonacci-sphere","path":"../fibonacci-sphere/","title":"Fibonacci Sphere","order":1800,"description":"From Martin Roberts' article about evenly distributed points on a sphere","thumbnailPath":"static/fibonacci-sphere-thumbnail.jpg"},{"id":"gray-scott-reaction-diffusion","path":"../gray-scott-reaction-diffusion/","title":"Gray Scott Reaction Diffusion","order":1700,"description":"Reacting species diffusing at different rates","thumbnailPath":"static/gray-scott-reaction-diffusion-thumbnail.jpg"},{"id":"rule-30","path":"../rule-30/","title":"Rule 30","order":1600,"description":"Stephen Wolfram's 1D cellular automata","thumbnailPath":"static/rule-30-thumbnail.png"},{"id":"line-integral-convolution","path":"../line-integral-convolution/","title":"Line Integral Convolution","order":1500,"description":"Visualizing vector fields with Line Integral Convolution (LIC)","thumbnailPath":"static/line-integral-convolution-thumbnail.jpg"},{"id":"iterative-closest-point","path":"../iterative-closest-point/","title":"Rigid Point Cloud Alignment","order":1400,"description":"Aligning point clouds with the Iterative Closest Point method","thumbnailPath":"static/iterative-closest-point-thumbnail.png"},{"id":"spherical-harmonics","path":"../spherical-harmonics/","title":"Spherical Harmonics","order":1300,"description":"Just a plot of the first few spherical harmonics","thumbnailPath":"static/spherical-harmonics-thumbnail.jpg"},{"id":"domain-coloring-with-scaling","path":"../domain-coloring-with-scaling/","title":"Domain Coloring with Contour Scaling","order":1200,"description":"Using OES_standard_derivatives to scale contours to the local gradient of a function","thumbnailPath":"static/domain-coloring-with-scaling-thumbnail.jpg"},{"id":"flamms-paraboloid","path":"../flamms-paraboloid/","title":"Flamm's Paraboloid","order":1100,"description":"Scroll to build Flamm's Paraboloid","thumbnailPath":"static/flamms-paraboloid-thumbnail.jpg"},{"id":"continuum-gravity","path":"../continuum-gravity/","title":"Continuum Gravity","order":1000,"description":"One million particles interacting gravitationally via a Poisson equation solved on a 2D grid","thumbnailPath":"static/continuum-gravity-thumbnail.jpg"},{"id":"kuramoto-sivashinsky","path":"../kuramoto-sivashinsky/","title":"Kuramoto-Sivashinsky","order":900,"description":"Integrating the 2D Kuramoto-Sivashinsky Equation, ∂u/∂t + ∇⁴u + ∇²u + ½ |∇u|² = 0","thumbnailPath":"static/kuramoto-sivashinsky-thumbnail.jpg"},{"id":"karman-trefftz-airfoil","path":"../karman-trefftz-airfoil/","title":"Karman-Trefftz Airfoil","order":700,"description":"Flow over an airfoil, computed with the Karman-Trefftz conformal map and visualized on the GPU","thumbnailPath":"static/karman-trefftz-airfoil-thumbnail.jpg"},{"id":"periodic-three-body-orbits","path":"../periodic-three-body-orbits/","title":"Periodic Three-Body Orbits","order":600,"description":"Periodic solutions of three bodies interacting via Newtonian gravity","thumbnailPath":"static/periodic-three-body-orbits-thumbnail.jpg"},{"id":"hydrodynamic-instabilities","path":"../hydrodynamic-instabilities/","title":"Hydrodynamic Instabilities","order":500,"description":"The Kelvin-Helmholtz and Rayleigh-Taylor hydrodynamic instabilities","thumbnailPath":"static/hydrodynamic-instabilities-thumbnail.jpg"},{"id":"strange-attractors","path":"../strange-attractors/","title":"Strange Attractors","order":450,"description":"Strange attractors on the GPU","thumbnailPath":"static/strange-attractors-thumbnail.jpg"},{"id":"schwarzschild-spacetime","path":"../schwarzschild-spacetime/","title":"Schwarzschild Trajectories","order":350,"description":"Integrating particle geodesics in Schwarzschild spacetime (a black hole).","thumbnailPath":"static/schwarzschild-spacetime-thumbnail.jpg"},{"id":"random-polynomial-roots","path":"../random-polynomial-roots/","title":"Polynomial Roots","order":300,"description":"Roots of a polynomial with random coefficients, plotted in the complex plane","thumbnailPath":"static/random-polynomial-roots-thumbnail.jpg"},{"id":"umbilic-torus","path":"../umbilic-torus/","title":"Umbilic Torus","order":300,"description":"Umbilic Torus","thumbnailPath":"static/umbilic-torus-thumbnail.jpg"},{"id":"lamb-wave-dispersion","path":"../lamb-wave-dispersion/","title":"Lamb Wave Dispersion Relation","order":220,"description":"Plotting the the complex dispersion relation for elastodynamic plate waves; zeros represent valid modes","thumbnailPath":"static/lamb-wave-dispersion-thumbnail.jpg"},{"id":"fluid-simulation","path":"../fluid-simulation/","title":"Fluid Simluation","order":210,"description":"Classic semi-Lagrangian fluid simulation from Visual Simulation of Smoke","thumbnailPath":"static/fluid-simulation-thumbnail.jpg"},{"id":"erosion","path":"../erosion/","title":"Erosion","order":100,"description":"An ad-hoc particle-based terrain erosion algorithm, computed on the GPU","thumbnailPath":"static/erosion-thumbnail.jpg"},{"id":"centripetal-b-splines","path":"../centripetal-b-splines/","title":"Centripetal B-Splines","order":80,"description":"Experimenting with centripetal parameterization for B-splines","thumbnailPath":"static/centripetal-b-splines-thumbnail.png"},{"id":"smooth-life","path":"../smooth-life/","title":"Smooth Life","order":80,"description":"Conway's Game of Life, generalized to a continuum and solved on the GPU","thumbnailPath":"static/smooth-life-thumbnail.jpg"},{"id":"logistic-map","path":"../logistic-map/","title":"Logistic Map","order":20,"description":"The chaotic logistic map, computed and displayed on the GPU","thumbnailPath":"static/logistic-map-thumbnail.jpg"},{"id":"nose-hoover-attractor","path":"../nose-hoover-attractor/","title":"Nosé-Hoover Attractor","order":8,"description":"Plotting a strange attractor with 2D rectangles","thumbnailPath":"static/nose-hoover-attractor-thumbnail.jpg"},{"id":"vortex-sdf","path":"../vortex-sdf/","title":"Vortex","order":7,"description":"A vortex, rendered as a single signed distance function","thumbnailPath":"static/vortex-sdf-thumbnail.jpg"},{"id":"k-means","path":"../k-means/","title":"K-means clustering","order":5,"description":"WIP refactoring of the kmpp npm module","thumbnailPath":"static/k-means-thumbnail.jpg"},{"id":"double-pendulum","path":"../double-pendulum/","title":"Double Pendulum","order":3,"description":"Accumulating long-term patterns in a chaotic double-pendulum","thumbnailPath":"static/double-pendulum-thumbnail.jpg"}] \ No newline at end of file +[{"id":"quasiinfinite-zoom","path":"../quasiinfinite-zoom/","title":"Quasiinfinite zoom","order":3400,"description":"Repeated quasirandom points to create the illusion of infinite zoom","thumbnailPath":"static/quasiinfinite-zoom-thumbnail.jpg"},{"id":"cubic-roots","path":"../cubic-roots/","title":"Cubic Roots ↔︎ Equilateral Triangle","order":3300,"description":"An interactive reproduction of a diagram by Freya Holmér","thumbnailPath":"static/cubic-roots-thumbnail.jpg"},{"id":"calabi-yau","path":"../calabi-yau/","title":"Calabi-Yau Manifolds","order":3200,"description":"A simple plot of Calabi-Yau manifolds; nothing more, nothing less","thumbnailPath":"static/calabi-yau-thumbnail.jpg"},{"id":"lawsons-klein-bottle","path":"../lawsons-klein-bottle/","title":"Lawson's Klein Bottle","order":3200,"description":"3D sterographic projection of a 4D Klein bottle","thumbnailPath":"static/lawsons-klein-bottle-thumbnail.jpg"},{"id":"boys-surface","path":"../boys-surface/","title":"Boy's Surface","order":3100,"description":"An immersion of the real projective plane in 3D space","thumbnailPath":"static/boys-surface-thumbnail.jpg"},{"id":"clifford-torus","path":"../clifford-torus/","title":"Clifford Torus","order":3000,"description":"3D sterographic projection of a 4D Clifford torus","thumbnailPath":"static/clifford-torus-thumbnail.jpg"},{"id":"webcam-kmeans","path":"../webcam-kmeans/","title":"K-Means","order":2900,"description":"Live k-means on a video feed with Lloyd's algorithm","thumbnailPath":"static/webcam-kmeans-thumbnail.jpg"},{"id":"moire","path":"../moire/","title":"Moiré","order":2800,"description":"Just moiré","thumbnailPath":"static/moire-thumbnail.jpg"},{"id":"ikeda","path":"../ikeda/","title":"Ikeda Map","order":2700,"description":"A discrete chaotic attractor","thumbnailPath":"static/ikeda-thumbnail.jpg"},{"id":"hertzsprung-russell","path":"../hertzsprung-russell/","title":"Hertzsprung-Russell Diagram","order":2600,"description":"Star magnitudes and temperatures","thumbnailPath":"static/hertzsprung-russell-thumbnail.jpg"},{"id":"mandelbrot","path":"../mandelbrot/","title":"Mandelbrot","order":2500,"description":"Drawing the first iterations of the Mandelbrot set as a complex function","thumbnailPath":"static/mandelbrot-thumbnail.jpg"},{"id":"pulsar","path":"../pulsar/","title":"Pulsar","order":2400,"description":"Signals and noise (no physical significance)","thumbnailPath":"static/pulsar-thumbnail.png"},{"id":"multiscale-turing-patterns","path":"../multiscale-turing-patterns/","title":"Multiscale Turing Patterns","order":2300,"description":"Multiscale turing patterns, as described by Jonathan McCabe","thumbnailPath":"static/multiscale-turing-patterns-thumbnail.jpg"},{"id":"magnet","path":"../magnet/","title":"Magnet","order":2200,"description":"Just a magnetic field","thumbnailPath":"static/magnet-thumbnail.jpg"},{"id":"potential-flow","path":"../potential-flow/","title":"Potential Flow","order":2100,"description":"Procedural (almost) potential flow with curl noise","thumbnailPath":"static/potential-flow-thumbnail.jpg"},{"id":"ueda-attractor","path":"../ueda-attractor/","title":"Ueda Attractor","order":2000,"description":"Ueda's chaotic nonlinear oscillator","thumbnailPath":"static/ueda-attractor-thumbnail.jpg"},{"id":"path-integral-diffraction","path":"../path-integral-diffraction/","title":"Single-slit diffraction","order":1900,"description":"Diffraction of a 1D wavefunction through a slit using Feynman's path integral approach","thumbnailPath":"static/path-integral-diffraction-thumbnail.jpg"},{"id":"fibonacci-sphere","path":"../fibonacci-sphere/","title":"Fibonacci Sphere","order":1800,"description":"From Martin Roberts' article about evenly distributed points on a sphere","thumbnailPath":"static/fibonacci-sphere-thumbnail.jpg"},{"id":"gray-scott-reaction-diffusion","path":"../gray-scott-reaction-diffusion/","title":"Gray Scott Reaction Diffusion","order":1700,"description":"Reacting species diffusing at 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