Acronym | ... |
Name | Wells' infinite polyhedron from the ike/oct diamond structure |
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Vertex figure | [37] (non-regular, non-flat) |
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Despite of being uniform and additionally having a single face shape only, these fall into different classes of symmetry.
This uniform skew polyhedron is easily obtained from all the triangles of a diamond lattice structure, built of ikes (for atoms) and octs (used as 3-antiprismatic links). It has genus 2.
(N → ∞) 12N | 1 2 2 2 | 1 3 3 ----+----------------+----------- 2 | 6N * * * | 0 2 0 ike's {2} edges 2 | * 12N * * | 1 1 0 ike's A-type {3} edges 2 | * * 12N * | 0 1 1 ike's B-type {3} edges 2 | * * * 12N | 0 0 2 oct's lacing edges ----+----------------+----------- 3 | 0 3 0 0 | 4N * * ike's remaining tetrahedral subset 3 | 1 1 1 0 | * 12N * ike's snub faces 3 | 0 0 1 2 | * * 12N oct's lacing faces
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