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

Code: Nil Tiling · 2020

Discrete isometry group tiling of Nil geometry

Raymarching in Nil geometry showing a tiling of the space by a discrete group of Nil isometries. The tiling illustrates the lattice structure of Nil and how fundamental domains fit together. The non-Euclidean metric distorts the tiling pattern compared to how it would appear in flat space. Controls: WASD to rotate, arrow keys to translate.

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