Honeycombs derived from the octahedral/tetrahedral honeycomb, Page 3

The four honeycombs described on the previous page, 10Y4-8T-n, 10Y4-8T-ortho, 10Y4-8T-meta and 10Y4-8T-para can also be elongated by the insertion of layers of triangular prisms between each layer of pyramids and tetrahedra.  The four equivalent honeycombs then become 5Y4-4T-6P3-tri-n,  5Y4-4T-6P3-tri-ortho, 5Y4-4T-6P3-tri-meta and 5Y4-4T-6P3-tri-para.  The insertion of the 'tri' in the name is to distinguish these from the previously discussed 5Y4-4T-6P3-sq-ortho and 5Y4-4T-6P3-sq-gyro formed from layers with square faces exposed.

The table below shows all four modes with the same colour coding as previously.

5Y4-4T-6P3-tri-n  Incidence Matrix	5Y4-4T-6P3-tri-ortho  Incidence Matrix
5Y4-4T-6P3-tri-meta  Incidence Matrix	5Y4-4T-6P3-tri-para  Incidence Matrix

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