Yes sometimes just think of a brick wall
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Some 3D shapes will tessellate as for example a brick wall
Tessellation is covering a 2-d surface. Tessellation and making a 3-d shape are not compatible processes. 12 regular pentagons will form a dodecahedron.
transversal
Yes because all 4 sided quadrilaterals will tessellate
Usually not. A part of a circular shape will not.