1 citations · 1 across the 3 of their papers we have counts for
5 papers
Non-crystallographic tail-triangle C-groups of rank 4 and interlacing number 2
Mark L. Loyola, Nonie Elvin S. Leyrita, Ma. Louise Antonette N. De Las Penas
This work applies the modular reduction technique to the Coxeter group of rank 4 having a star diagram with labels 5, 3, and . As moduli, we use the pri…
Substitution tilings with dense tile orientations and n-fold rotational symmetry
Dirk Frettlöh, April L. D. Say-awen, M. L. A. N. de las Peñas
It is shown that there are primitive substitution tilings with dense tile orientations invariant under n-fold rotation for n=2,3,4,5,6,8. The proof for dense tile orientations uses…
Cubic Crystals and Vertex-Colorings of the Cubic Honeycomb
M. L. Loyola, M. L. A. N. De Las Peñas, A. M. Basilio
In this work, we discuss vertex-colorings of the cubic honeycomb and we illustrate how these colorings can demonstrate the structure and symmetries of certain cubic crystals.
On Bravais Colorings Associated with Periodic and Non-Periodic Crystals
Ma. Louise Antonette N. De Las Peñas, Enrico Paolo C. Bugarin
In this work, a theory of color symmetry is presented that extends the ideas of traditional theories of color symmetry for periodic crystals to apply to non-periodic crystals. The…
Perfect colourings of cyclotomic integers
E. P. Bugarin, M. L. A. N. de las Peñas, D. Frettlöh
Perfect colourings of the rings of cyclotomic integers with class number one are studied. It is shown that all colourings induced by ideals (q) are chirally perfect, and vice versa…