'Star' Tessellations - Type 4
(click on the image for a larger version)
The above edge network is a faceting is of the dodecahedral cells present in a type 1 network (home to the 6, 4, 3, 4 tessellation). A copy of this network superimposed on the original 6, 4, 3, 4 tessellation is linked here. Alternatively, this network can be regarded as a quasi-stellation of a 12, 12, 3 tessellation, replacing each dodecagon with a dodecagram sized such that the outside parallel edges of the dodecagram are one unit apart, as in the diagram below showing a square face highlighted.
Three tessellations can be formed using this network:
3, 12/5, 6/5
12/5, 4, 12/7,
4, 3/2, 4, 6/5
In each case, clicking onto the vertex figures above will show the sample cell superimposed on the above network.
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