SelectedWorks - Mark Loyola

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Selected Works of Mark Loyola

Assistant Professor, Mathematics Department

Mark Loyola's areas of specialization are finite group theory, discrete geometry, abstract and geometric polytopes, and mathematical crystallography.

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About Mark Loyola

Mark Loyola's areas of specialization are finite group theory, discrete geometry, abstract and geometric polytopes, and mathematical crystallography.

Present	Assistant Professor, Ateneo de Manila University ‐ Mathematics Department
Institution Organization Position Type Position Title Time Period to Options Current Position Affiliate my profile with this Institution

Mathematics, Discrete Mathematics and Combinatorics, and Geometry and Topology

String C-groups of order 1024

Mathematics Faculty Publications (2018)

Yasushi Gomi, Mark L Loyola and Ma. Louise Antonette N De Las Peñas

This paper determines the nondegenerate string C-groups of order 1024. For groups of rank 3, we use the technique of ...

Symmetry Groups Associated With Tilings on a Flat Torus

Mathematics Faculty Publications (2015)

Ma. Louise Antonette N De Las Peñas, Mark L Loyola, Grace M Estrada and Eko Budi Santoso

This work investigates symmetry and color symmetry properties of Kepler, Heesch and Laves tilings embedded on a flat torus and ...

A quotient space approach to model nanotori and determine their ...

Mathematics Faculty Publications (2014)

Mark Loyola, Ma. Louise Antonette N De Las Peñas, Eko Budi Santoso and Grace M Estrada

This paper discusses a geometric model of a nanotorus based on the concept of quotient spaces. The derivation of the ...

Symmetry groups of single-wall nanotubes

Mathematics Faculty Publications (2014)

Ma. Louise Antonette N De Las Peñas, Mark Loyola, Antonio M Basilio and Eko Budi Santoso

This work investigates the symmetry properties of single-wall carbon nanotubes and their structural analogs, which are nanotubes consisting of different ...

Colorings of single-wall carbon nanotubes

Mathematics Faculty Publications (2012)

Mark Loyola, Ma. Louise Antonette N De Las Peñas and Antonio M Basilio

In this work, we describe a process to classify and characterize nanotubes with several types of atoms by constructing colorings ...