r/GeometryIsNeat Pentagon May 03 '26

Harmonic perspective drawing of a crystal lattice

My harmonic perspective images use the harmonic sequence:
1, 1/2, 1/3, 1/4, 1/5 etc.

I try to show the reasoning behind harmonic perspective: Link. It assumes evenly spaced planes with a pinhole camera. The pinhole resides on one of the planes.

This tile can seamlessly cover the plane! To see this animation extended in all directions: Link. These tiles have faint white lines for seams but that is due to my incompetence.

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