A regular tessellation uses only one regular polygon. A semi-regular tessellation is based on two or more regular polygons.
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A regular tessellation is based on only one regular polygonal shape. A semi-regular tessellation is based on two or more regular polygons.
A tessellation that uses more than one kind of regular polygon is called a semi-regular tessellation.
A regular tessellation is based on multiple copies of the same regular polygon. A semi-regular tessellation uses copies of two (or more) regular polygons. In the latter case, at each vertex the various polygons are arrayed in the same order (or its mirror image).
It is a semi-regular tessellation.
Strictly speaking, no, because a semi-regular tessellation must be based on regular polygons and rhombi are not regular polygons. However, octagons and rhombi can be used to make a non-regular tessellation.