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monkeys arranged symmetrically in 4D space, in VR.

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# Monkey See, Monkey Do
Monkeys arranged symmetrically in 4D space, in VR.

The sculptures visualise different 4D symmetry groups. 
A monkey motif is placed in each cube, octahedron or dodecahedron of the 8-, 24- or 120-cell, giving objects with symmetry groups the 8-element quaternion group, the binary tetrahedral group, and the binary icosahedral group respectively. 
The designs are radially projected to the 3-sphere then stereographically projected to 3-space. 
The VR experience animates each of these, showing one generator of each symmetry group. 
The virtual monkeys are coloured by an algorithm based on the Hopf fibration from the 3-sphere to the 2-sphere, which is then embedded in the RGB colour cube.

`Monkey See, Monkey Do` in the Bridges Math Art Exhibit 2015: http://gallery.bridgesmathart.org/exhibitions/2015-bridges-conference/monkeys

## Useful commands

- 8-cell: ```1```
- 24-cell: ```2```
- 24-cell dual: ```3```
- 24-cell and dual: ```4```
- 48-cell: ```5```
- 120-cell: ```6```
- fullscreen: ```tap``` or ```click```
- rotation: ```w a s d q e``` or ```headset rotation in webVR``` or ```mobile device rotation```
- movement: ```arrow keys```

--------------------

By Vi Hart, Andrea Hawksley, Henry Segerman, and Will Segerman, using Marc ten Bosch's 4D graphics shader, Mozilla's webVR stuff, and threejs.

- http://vihart.com
- http://andreahawksley.com
- http://www.segerman.org/
- http://willsegerman.com
- http://www.marctenbosch.com
- https://github.com/MozVR/vr-web-examples/tree/master/threejs-vr-boilerplate
- http://threejs.org

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