3D Graphics drawer for Mathematica based on Three.js

Written in JS parser and drawer allow to export or embed to web pages 3D graphics from Wolfram notebook. Unlike other build-in export functions it recreates pure Mathematica's functions like Sphere[], GraphicsComplex[], Polygon[] and etc. See disscussion at https://mathematica.stackexchange.com/a/215025/53728.

Some parts of the code which is responsible for rotation, zoom, dragging objects and lighting system were taken from Mathics project. The home page of Mathics is http://mathics.github.io.

Live example

https://jerryi.github.io/Mathematica-ThreeJS-graphics-engine/

Usage

1. Plot some graphics (used a low-poly mode for smaller code, see Example.nb)

Graphics3D[{
  SphericalPlot3D[
    2 SphericalHarmonicY[2, 0, t, p], {t, 0, Pi}, {p, 0, 2 Pi}, 
    PerformanceGoal -> "Speed"][[1]],
  Opacity[0.6], 
  Tetrahedron[{{1, 1, 1}, {-1, -1, 1}, {1, -1, -1}, {-1, 1, -1}}]
  }]

2. Export as a JSON string

ExportString[%//N, "ExpressionJSON"]

[
	"Graphics3D",
	[
		"List",
		[
			"GraphicsComplex",
			[
				"List",
				["List",
					0.0,
					0.0,
					1.2615662610100797
				]
				,
				["List",
					0.0,
					0.0,
					1.2615662610100797
				]
				,...

3. Copy and paste it to data.js (must be simplified!)

//\data.js

var JSONThree = [...

4. Run index.html

Drag - rotate; Ctrl+Drag - zoom; Shift+Drag - drag;

Contributing

Please feel encouraged to contribute and expand features.

Issues

There a lot a functions which are not implemented such as Style[], Tube[], Ball[], Cone[], BezierCurve[]... Currently the minimum necessary set for the functioning of SphericalPlot3D, Plot3D is already done

• Graphics3D - supported without styling, themes, custom lighting
• List - supported
• GraphicsGroup - supported
• RGBColor - supported
• Opacity - supported
• RGBColor - supported
• Tube - renders like arrows
• Sphere - supported
• Center - supported
• Tetrahedron - supported
• GeometricTransformation - fully supported
• GraphicsComplex - supported
• Polygon - fully supported
• Line - supported

License

Project is released under the GNU General Public License (GPL).