geometry   5721

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Constructive Solid Geometry (CSG) is a modeling technique that uses Boolean operations like union and intersection to combine 3D solids. This library implements CSG operations on meshes elegantly and concisely using BSP trees, and is meant to serve as an easily understandable implementation of the algorithm. All edge cases involving overlapping coplanar polygons in both solids are correctly handled.
3d  graphics  javascript  csg  booleanoperation  geometry  kit 
20 hours ago by moritzwade
SpikeySpheres
High dimensional spheres are "spikey". A sphere in the center of a unit cube that touches other spheres in the corners will actually stick out the sides of the cube for dimensions higher than 9.
math  geometry  dimensions  via:HackerNews 
4 days ago by mcherm
SpikeySpheres
The purpose of this item hasn't been to let you work, trouble-free, with high-dimensional spaces. The purpose has been to show that things aren't what you might expect, and that your regular, understandable, 3D-based intuition can be completely inappropriate.

1800-dimensional space is big. Really big.

And sort-of spikey.
geometry  math  mathematics  dimensions 
4 days ago by kybernetikos

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