Clebsch Graph
25 November, 2021
5-Colouring
55555
Loop Cycles
Gyre Multipliers
Growth
Single Tile Boundary Vertices

Embedding
Notes
With an astonishing tile count of only 16 pentagonal tiles the Clebsch Graph manages to wind itself into a genus 5 surface with 960 orientation preserving automorphisms. Using the prototiles n-colouring, it is easy to identify the pentagonal prototile in the coloured euclidian embedding displayed above. Since all 16 5f prototiles share their edges, naturally every colour appears 8 times.
More information can be found at Wolfram Mathworld including an embedding matching the one above, albeit without colouring.