Geodesic Balls in the Nil-Space
Geodesic Balls in the Nil-Space
W. Heisenberg's real matrix group provides a noncommutative translation group of an affine 3-space. The Nil-geometry, which is one of the eight Thurston 3-geometries, can be derived from this group. It was proved by E. Molnár that the homogeneous 3-spaces have a unified interpretation in the projective 3-sphere ,,). In this Demonstration we visualize the geodesic balls of the Nil-space with the origin as the center, radius in , and translated by .
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