We prove that the plane can be tiled with equilateral triangles and regular hexagons of integer sides using exactly one of each family.

The tiling technique consists of filling the plane with geometric figures without overlapping or empty spaces. Although this technique is quite old, the science is recent and contains aspects that have not yet been developed ...

In this work, we introduce a technique for fast, high-quality, non-iterative generation of phase-only holograms from both 2D and 3D scenes. In this technique, we generate an optimized random phase tile which behaves like ...

In this work we study tiling in the plane, complementing with a study of the area of some plane figures. We present and discuss the different tiling patterns, demonstranting the different types of tiling in the plane by ...

The centralizer (automorphism group) and normalizer (extended symmetry group) of the shift action inside the group of self-homeomorphisms are studied, in the context of certain Z(d) subshifts with a hierarchical supertile ...

The present work has as its central question the teaching of plane geometry in high school, specifically the sum of the interior angles of a convex polygon and value of the interior angles of a regular polygon. This theme ...