No
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They can tesselate - provided they are the correct shapes.
No, the faces of a regular dodecahedron are pentagonal.No, the faces of a regular dodecahedron are pentagonal.No, the faces of a regular dodecahedron are pentagonal.No, the faces of a regular dodecahedron are pentagonal.
Yes. Can it tesselate R^3? Only if its base pentagon is non-regular.
there are loads. ones that do tesselate are hexagons, squares and triangles but none of the others tesselate
A regular dodecahedron does not but it is possible to have a dodecahedron with some triangular faces.