¶ Hex-pent Sphere
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Index Entry
Hex-pent Sphere:
"The hex-pent sphere is a three-frequency sphere consisting of 12 pentagons and 20 hexagons. It consists of 60 fat diamonds plus 30 thin diamonds, totalling 90 diamonds in all. There are 180 chordal struts, all of which are the same length.
"The hex-pent sphere is the polyhedron with the largest possible number of identical-length edges whose vertices also lie in a sphere of the same radius; it thus manifests a limit case vector chord system.
"In the hex-pent sphere 20 vertexial hubs convene six chords each; 60 vertices convene three chords each; and 12 vertices convene five chords each, for a total of 92 vertices.
“This unique geodesic sphere represents the limit number of equilength chords within a sphere of given radius with all the vertices equidistant from the sphere center.”
¶ Citations
- RBF Ltr. to Sumet Jumsai, Bangkok; 15 Sep’76
