mathbox/examples/math/tiling.html at master · unconed/mathbox · GitHub

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<!DOCTYPE html>
<html>
  <head>
    <meta charset="utf-8" />
    <title>MathBox - Tiling</title>
    <script
      type="text/javascript"
      src="https://cdn.jsdelivr.net/npm/three@0.137.0/build/three.min.js"
    ></script>
    <script
      type="text/javascript"
      src="https://cdn.jsdelivr.net/npm/three@0.137.0/examples/js/controls/OrbitControls.js"
    ></script>
    <script
      type="text/javascript"
      src="https://cdn.jsdelivr.net/npm/three@0.137.0/examples/js/controls/TrackballControls.js"
    ></script>
    <!--
      - a minified version mathbox.min.js is also available;
      - recommend using a specific version (not @latest) in public sites
    -->
    <script
      type="text/javascript"
      src="https://cdn.jsdelivr.net/npm/mathbox@latest/build/bundle/mathbox.js"
    ></script>
    <link
      rel="stylesheet"
      href="https://cdn.jsdelivr.net/npm/mathbox@latest/build/mathbox.css"
    />
    <meta name="viewport" content="initial-scale=1, maximum-scale=1" />
  </head>
  <body>
    <script>
      var mathbox = MathBox.mathBox({
        plugins: ["core", "controls", "cursor", "mathbox"],
        controls: {
          // Orbit controls, i.e. Euler angles, with gimbal lock
          klass: THREE.OrbitControls,

          // Trackball controls, i.e. Free quaternion rotation
          //klass: THREE.TrackballControls,
        },
      });
      if (mathbox.fallback) throw "WebGL not supported";

      var three = mathbox.three;
      three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);

      // Place camera
      var camera = mathbox.camera({
        proxy: true,
        position: [5, 9, 30],
      });

      // Approximate recreation of
      // https://twitter.com/shonk/status/645737325339652096

      // Colors
      var colors = [
        [130 / 255, 208 / 255, 128 / 255],
        [95 / 255, 197 / 255, 137 / 255],
        [45 / 255, 164 / 255, 147 / 255],
        [10 / 255, 111 / 255, 147 / 255],
        [28 / 255, 143 / 255, 151 / 255],
        [71 / 255, 183 / 255, 144 / 255],
      ];

      // Offsets
      var offsets = [
        [
          [2, 1.731],
          [0.5, 0],
        ],
        [
          [3, 2.599],
          [0.5, 0],
        ],
        [
          [2.25, 1.731],
          [0.666, -0.25],
        ],
      ];

      // Tile face
      var tiles = [
        [
          [0, 0],
          [1, 0],
          [1, 0],
          [1, 0.577],
          [0.5, 0.866],
        ],
        [
          [0, 0],
          [1, 0],
          [2, 0],
          [1.5, 0.866],
          [0.5, 0.866],
        ],
        [
          [0, 0],
          [1, 0],
          [1.25, 0.433],
          [1, 0.866],
          [0.5, 0.866],
        ],
      ];

      // Face
      mathbox
        .array({
          channels: 2,
          items: 5,
        })
        .play({
          pace: 5,
          loop: true,
          to: 3,
          script: [
            { props: { data: [tiles[0]] } },
            { props: { data: [tiles[1]] } },
            { props: { data: [tiles[2]] } },
            { props: { data: [tiles[0]] } },
          ],
        })
        .repeat({
          width: 30,
          height: 30,
        })

        .shader({
          code: [
            "uniform vec2 tileStep;",
            "uniform vec2 tileShift;",
            "const vec2 dataScale = vec2(29.0, 29.0);",
            "vec4 getPosition(vec4 xyzw, inout vec4 stpq) {",
            "  vec2 ij = (stpq.st - .5) * dataScale;",
            "  vec2 offset = vec2(ij.x + tileShift.x * ij.y,",
            "                     ij.y + tileShift.y * ij.x) * tileStep;",
            "  return xyzw + vec4(offset, (ij.x + ij.y) * 0.01, 0.0);",
            "}",
          ].join("\n"),
        })
        .play({
          pace: 5,
          loop: true,
          to: 3,
          script: [
            { props: { tileStep: offsets[0][0], tileShift: offsets[0][1] } },
            { props: { tileStep: offsets[1][0], tileShift: offsets[1][1] } },
            { props: { tileStep: offsets[2][0], tileShift: offsets[2][1] } },
            { props: { tileStep: offsets[0][0], tileShift: offsets[0][1] } },
          ],
        })
        .vertex()

        .transform({
          rotation: [0, 0, (0 * MathBox.τ) / 6],
        })
        .face({
          color: colors[0],
        })
        .end()

        .transform({
          rotation: [0, 0, (1 * MathBox.τ) / 6],
        })
        .face({
          color: colors[1],
        })
        .end()

        .transform({
          rotation: [0, 0, (2 * MathBox.τ) / 6],
        })
        .face({
          color: colors[2],
        })
        .end()

        .transform({
          rotation: [0, 0, (3 * MathBox.τ) / 6],
        })
        .face({
          color: colors[3],
        })
        .end()

        .transform({
          rotation: [0, 0, (4 * MathBox.τ) / 6],
        })
        .face({
          color: colors[4],
        })
        .end()

        .transform({
          rotation: [0, 0, (5 * MathBox.τ) / 6],
        })
        .face({
          color: colors[5],
        })
        .end()

        .end();
    </script>
  </body>
</html>