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The results involving rotationally symmetric tilings with multiple types ofrhombuses, discovered by Penrose, Ammann, Beenker, or Socolar, are converted totilings with multiple types of pentagons are presented. The pentagons can beconvex or concave, and can be degenerated into a trapezoid or parallelogram. Ifthe pentagons are convex, they belong to the Type 2 family.

Converting tilings with multiple types of rhombuses to pentagonal tilings