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

Nil Ball · 2019

A single sphere in Nil geometry, rendered with exact Heisenberg group geodesics

Renders a single sphere in Nil geometry using the position-dependent metric tensor of the Heisenberg group. Geodesics are computed using exact formulas with asymptotic expansions near the XY plane, and Newton’s method determines precise distances and tangent directions. Controls: WASD to rotate, arrow keys to translate.

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