No. See, for example, the top image in the attached link.
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A regular tessellation or semi-regular tessellation or none.
Semi-regular tessellation is a tessellation of the plane by 2 or more different convex regular polygons. A semi-regular tessellation combines two or more regular polygons. Each semi-regular tessellation has a tupelo, which designates what kind of regular polygon is used.
A semi-regular tessellation is using multiple copies of two (or more) regular polygons so as to cover a plane without gaps or overlaps. The different shapes have sides of the same length and the shapes meet at vertices in the same (or exact reverse) order.The image used with this question:http://file2.answcdn.com/answ-cld/image/upload/w_300,h_115,c_fill,g_face:center,q_60,f_jpg/v1401482497/u6cbkstcqpiibq3485hr.pnguses a regular quadrilateral (a square) and an equilateral triangle. At each vertex, these two shapes, starting with the shape at the top, meet in the following order: TSTTS ot STTST.
Yes it can
No, not normally