Steve Trettel · with Henry Segerman, Rémi Coulon, Sabetta Matsumoto

Nil Ball Lattice · 2019

Lattice of spheres in Nil geometry, tiled by Heisenberg group isometries

Small spheres tiled across the Heisenberg group lattice using Nil group isometries and cell teleportation with 6 generators. The non-Euclidean metric of Nil geometry visibly distorts the periodic structure, causing helical effects in the lattice. Controls: WASD to rotate, arrow keys to translate.

Steve Trettel · with Henry Segerman, Rémi Coulon, Sabetta Matsumoto
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