Conjugate loxodromic isometry



Conjugate loxodromic isometry


Another loxodromic length-preserving transformation of hyperbolic 3-space, conjugate to the one from yesterday. The surface we saw above the boundary plane is now a cone (in the upper half space model - it's a cylinder surrounding a geodesic in hyperbolic space). The motion still fixes 2 ideal points, now at the origin and infinity, and we see logarithmic spirals on the boundary.

Click F in the shader to see this view: http://bit.ly/2BNdwS4

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