Construct a 3-D rendered Image
| Constructs one of the puzzle images by rendering
three intertwined and animate instances of a doughnut. |
public ImageBvr createGeoImage() {
| construct a color with a time- varying hue |
NumberBvr hue1 = mul(localTime, toBvr(0.2));
ColorBvr col = colorHsl(hue1, toBvr(0.5), toBvr(0.5));
| import a half doughnut in the positive Y half space |
GeometryBvr halfDonut =
importGeometry(buildURL(_geoBase,"hlfdonut.x"));
| Construct a complete doughnut by combining with the second half.
The resulting doughnut is centered around the origin and is of
[-1,1] extent in X and Y. |
GeometryBvr donut = union(halfDonut,
halfDonut.transform(rotate(xVector3, toBvr(Math.PI))));
| The first doughnut rotates around the Y axis and
has the time-varying color. |
GeometryBvr donut0 =
donut.transform(compose(rotate(yVector3, localTime),
scale3(toBvr(0.3)))).diffuseColor(col);
| The second doughnut is based on the first one scaled down by 25%,
shifted by 0.2 in positive Z,
and animated at a 30% faster rate than the first one. |
GeometryBvr donut1 = (GeometryBvr)
donut0.transform(compose(translate(0,0,0.2),
scale3(0.75)))
| when the first doughnut progresses by one unit,
this second doughnut progresses by 1.3 units. |
.substituteTime(mul(localTime, toBvr(1.3)));
| The third doughnut is based on the first one scaled down by 25%,
shifted by 0.2 in negative Z,
and animated at a 40% slower rate than the first one. |
GeometryBvr donut2 = (GeometryBvr)
donut0.transform(compose(translate(0,0,-0.2),
scale3(0.75))).substituteTime(mul(localTime, toBvr(0.6)));
| Construct a 3-D rotational transform with a time-varying
axis of rotation and a time-varying angle of rotation. |
Transform3Bvr xf = rotate(vector3(sin(localTime),
cos(localTime), sin(mul(toBvr(1.34), localTime))),
mul(localTime, toBvr(0.62)));
| The geometry for the image is the aggregation of the
three doughnuts from above with the animate rotational transform applied. |
GeometryBvr donuts = union(donut0, union(donut1, donut2)).transform(xf);
| a camera with projection point at 3 and near plane at 2 |
CameraBvr cam = perspectiveCamera(toBvr(3),toBvr(2));
GeometryBvr geoWithLight = union(donuts, directionalLight);
ImageBvr im = geoWithLight.render(cam);
| This translates the image so that its lower left corner
is approximately at the origin. This approximation allows
the image (doughnuts really) to get clipped slightly. |
im = im.transform(translate(0.5,0.5));
return overlay(im, solidColorImage(white));
}
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