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

Code: Euc 3torus Generators · 2020

The three generating translations of the 3-torus lattice in Euclidean space

Raymarching in the 3-torus highlighting the three generator translations that define the lattice. The scene shows the fundamental domain structure and how copies tile all of E3. This illustrates how the 3-torus arises as a quotient of Euclidean 3-space by a rank-3 lattice. Controls: WASD to rotate, arrow keys to translate.

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