Inside the Hyperbolic Dodecahedron

This is what the dodecahedron would look like viewed from the inside with spherical mirrored walls. At certain dihedral angles, this resembles a Poincaré projection of 3D hyperbolic space tiled with ideal dodecahedrons. Notice that when the space becomes elliptic, a “hole” opens up in the center. This is because the space loops around on itself causing objects beyond the “maximum distance” to appear larger because they are actually closer. Weird huh?



1 Response to “Inside the Hyperbolic Dodecahedron”

  1. March 6, 2011 at 12:18 am

    If it wasn’t for notch I wouldn’t be here.

    Interesting read, I am impressed that I even understood it =)

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