The only shapes which can be used for a regular tessellation are:
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regular hexagon, square, equilateral triangle...apex
yes
regular hexagon
A tessellation that uses more than one kind of regular polygon is called 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.