Acronym ...
Name Wells' infinite polyhedron from the ike/oct diamond structure
 
 ©
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.


Incidence matrix

(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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