Rotationally symmetric tilings with convex pentagons belonging to both the Type 1 and Type 7 families

Abstract

Rotationally symmetric tilings by a convex pentagonal tile belonging to both the Type 1 and Type 7 families are introduced. Among them are spiral tilings with two- and four-fold rotational symmetry. Those rotationally symmetric tilings are connected edge-to-edge and have no axis of reflection symmetry.

arXiv comment13 pages, 16 figures. arXiv admin note: text overlap with arXiv:2005.08470, arXiv:2005.10639