3 citations · 3 across the 5 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…
Geometric realizations of regular abstract polyhedra with automorphism group
Jonn Angel L. Aranas, Mark L. Loyola
A \textit{geometric realization} of an abstract polyhedron is a mapping that sends an -face to an open set of dimension . This…
String C-groups from groups of order 2^m and exponent at least 2^(m - 3)
Mark L. Loyola
This work provides a classification of string C-groups of order 2m and exponent at least 2^(m - 3). Prior to the classification, we complete the list of groups of exponent 2^(m - 3…
Revisiting a Number-Theoretic Puzzle: The Census-Taker Problem
I. J. L. Garces, M. L. Loyola
The current work revisits the results of L.F. Meyers and R. See in [3], and presents the census-taker problem as a motivation to introduce the beautiful theory of numbers.
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.