Ateneo Symmetries in Algebra and Geometry Laboratory 

Publications

1. Loyola, M., Leyrita, N. and De Las Peñas, M.L.A.N. Non-Crystallographic Tail Triangle C-Groups of Rank 4 and Interlacing No. 2 Contributions to Discrete Mathematics (2024). https://doi.org/10.48550/arXiv.2202.02598
2. De Las Peñas, M.L.A.N., Tomenes, M. and Liza, K. Symmetry Groups of Two-way Twofold and Three-way Threefold Fabrics. Acta Cryst. A80 (2024) 33-51. https://archium.ateneo.edu/mathematics-faculty-pubs/264/
3. Tomenes, M. and De Las Peñas, M.L.A.N. Construction of Tilings with Transitivity Properties on a Square Grid. In: Brunetti, S, Frosini, A. and Rinaldi, S. (Eds) Discrete Geometry and Mathematical Morphology Third International Joint Conference DGMM 2024. Lecture Notes in Computer Science 14605, Springer, (2024) 123-136. https://archium.ateneo.edu/mathematics-faculty-pubs/269/
4. Abila, A.K., De Las Peñas, M.L.A.N. and Tomenes. On Uniform Edge--colorings of Tilings. Acta Cryst. A80 (2024) 1-12. https://doi.org/10.1107/S2053273324005643
5. Loyola, M.L. Geometric Realizations of the Abstract Platonic Polyhedra. International Conference on Applied and Industrial Mathematics and Statistics (ICoAIMS) 2022 Conference Proceedings (2024). https://archium.ateneo.edu/mathematics-faculty-pubs/250/
6. Loyola, M. and De Las Peñas, M.L.A.N. Morphing Tilings of the Plane into Tilings of Surfaces. Proceedings of the 28 th Asian Technology Conference in Mathematics (2023) 287-296. https://atcm.mathandtech.org/EP2023/regular/22056.pdf
7. Say-Awen, A.L., Frettlöh, D. and De Las Peñas, M.L.A.N. On the Frequency Module of the Hull of  Substitution Tiling. Acta Cryst A78 (2022) 36-55. https://archium.ateneo.edu/mathematics-faculty-pubs/185/
8. Aranas, J.A.L. and Loyola, M.L. Realizations of the abstract  polyhedra. Acta Cryst. A78, (2022) 337-348. https://archium.ateneo.edu/mathematics-faculty-pubs/203/
9. Tomenes, M. and De Las Peñas, M.L.A.N. Tilings with Congruent Edge Coronae. Contemporary Mathematics: Polytopes and Discrete Geometry vol 764 (eds G. Cunningham, M. Mixer and E. Shulte), American Mathematical Society (2021) 251-272. http://archium.ateneo.edu/mathematics-faculty-pubs/142
10. De Las Peñas, M.L.A.N. and Taganap, E. Crystallographic Flat Origami from n-Uniform Tilings. In: Akiyama J., Marcelo R.M., Ruiz MJ.P., Uno Y. (eds) Discrete and Computational Geometry, Graphs, and Games. JCDCGGG 2018. Lecture Notes in Computer Science, vol 13034. Springer, Cham. (2021) 136-151. http://archium.ateneo.edu/mathematics-faculty-pubs/170/
11. Tomenes, M. and De Las Peñas, M.L.A.N. isotoxal Tilings from Tilings. Journal of Mathematics and the Arts 15 (2021) 245-260. http://archium.ateneo.edu/mathematics-faculty-pubs/182
12. Aranas, J.A.L., Loyola, M.L. Geometric realizations of abstract regular polyhedra with automorphism group . Acta Cryst. A76, (2020), 358 - 368. https://archium.ateneo.edu/mathematics-faculty-pubs/143/
13. De Las Peñas, M. L. A. N.  Mathematical Sightings at the Museum of Tomorrow The Mathematical Intelligencer 42-1 (2020) 24-28. https://archium.ateneo.edu/mathematics-faculty-pubs/115/
14. Aranas, A. and Loyola, M.L. Geometric Realizations of Abstract Regular Polyhedra with Automorphism group H3. Acta Cryst A76-3 (2020) 358-368. https://archium.ateneo.edu/mathematics-faculty-pubs/143/
15. Abila, A.K, De Las Peñas, M. L. A. N. and Taganap, E. Local and Global Color Symmetries of a Symmetrical Pattern. Acta Cryst A75 (2019) 730-745. https://archium.ateneo.edu/mathematics-faculty-pubs/116/
16. Taganap, E. and De Las Peñas. M. L. A. N. k-Isocoronal Tilings.Acta Cryst A 75 (2019) 94-106. https://archium.ateneo.edu/mathematics-faculty-pubs/48/
17. Say-awen,A. L., Frettlöh, D. and De Las Peñas, M. L. A. N.  Primitive Substitution Tilings with Rotational Symmetries. Acta Cryst A 74 (2018) 388-398. https://archium.ateneo.edu/mathematics-faculty-pubs/16/
18. Taganap, E.  and De Las Peñas, M. L. A. N. Hyperbolic Isocoronal Tilings.Journal of Mathematics and the Arts 12:2-3 (2018)  96-110. https://archium.ateneo.edu/mathematics-faculty-pubs/12/
19. De Las Peñas, M. L. A. N., Garciano, A. D., Verzosa, D. M. B and Taganap, E. Crystallographic Patterns in Philippine Indigenous Textile.Journal of Applied Crystallography 51 (2018), 456-469. https://archium.ateneo.edu/mathematics-faculty-pubs/21/
20. Loyola, M. L., Gomi, Y. and De Las Peñas, M. L. A. N.  String C-Groups of Order 1024. Contributions to Discrete Mathematics 13-1 (2018), 1-22. https://archium.ateneo.edu/mathematics-faculty-pubs/44/
21. Frettlöh, D.  Say-awen, A. L.  and De Las Peñas, M. L. A. N. Substitution Tilings with Dense Tile Orientations and n-fold Rotational Symmetry. Indagationes Mathematicae 28 (2017), 120-131. https://archium.ateneo.edu/mathematics-faculty-pubs/11/
22. De Las Peñas, M. L. A. N.  and Salvador-Amores, A. Mathematical and Anthropological Analysis of Northern Luzon Funerary Textile. Philippine Journal of Science 45-1 (2016), 87-101. https://archium.ateneo.edu/mathematics-faculty-pubs/1/
23. Mamaril, M. C. and De Las Peñas, M. L. A. N.  The Lamplighter Group Ln(h). AIP Conference Proceedings: 7th SEAMSUGM International Conference on Mathematics and its Applications 2015 1707, 020011 (2016); doi: 10.1063/1.4940812. https://archium.ateneo.edu/mathematics-faculty-pubs/24/
24. Loyola, M. L., De Las Peñas, M. L. A. N, Estrada, G. and Santoso, E. B. Symmetry Groups Associated with Tilings on a Flat Torus.Acta Cryst A 71 (2015), 99-110. https://archium.ateneo.edu/mathematics-faculty-pubs/8/
25. Say-awen, A. L., De Las Peñas, M. L. A. N  and Rapanut, T. On Color Fixing Groups Associated with Colored Symmetrical Tilings.AIP Conference Proceedings: International Conference on Mathematics, Engineering and Industrial Applications 2014 1660, 050012 (2015); doi:10.1063/1.4915645. https://archium.ateneo.edu/mathematics-faculty-pubs/23/
26. De Las Peñas, M. L. A. N, Garciano, A.D. and Verzosa, D.M.B. Weaving Mat(h)s .The Mathematical Intelligencer 36(4) (2014) 36-46. https://archium.ateneo.edu/mathematics-faculty-pubs/29/
27. Taganap, E., De Las Peñas, M. L. A. N.  and Rapanut, T. Crystallographic Flat Origami with Three Flat Foldability Types of the Generating Unit.AIP Conference Proceedings: International Conference for Mathematical Sciences 2014, 1602, 662 (2014); doi: 10.1063/1.4882556. https://archium.ateneo.edu/mathematics-faculty-pubs/40/
28. Loyola, M. L., De Las Peñas, M. L. A. N, Estrada, G. and Santoso, E. B. A Quotient Space Approach to Model Nanotori and Determine their Symmetry Groups.AIP Conference Proceedings: International Conference for Mathematical Sciences 2014, 1602, 620 (2014); doi: 10.1063/1.4882549. https://archium.ateneo.edu/mathematics-faculty-pubs/41/
29. Loyola, M. L., De Las Peñas, M. L. A. N, Basilio, A. and Santoso, E. B. Symmetry Groups of Single Wall Nanotubes). Acta Cryst A 70 (2014) 12-23. https://archium.ateneo.edu/mathematics-faculty-pubs/42/
30. Provido, E. B., De Las Peñas, M. L. A. N. and Felix, R. P. On Subgroups of Crystallographic Coxeter Groups. Acta Cryst. A 69 (2013) 445-451. https://archium.ateneo.edu/mathematics-faculty-pubs/31
31. Bugarin, E. P., De Las Peñas, M. L. A. N. and Frettlöh, D. Perfect Colourings of Cyclotomic Integers. Geometria Dedicata 162 (2013), 271-282. https://archium.ateneo.edu/mathematics-faculty-pubs/27/
32. Loyola, M. L., De Las Peñas, M. L. A. N. and Basilio, A. Colorings of Single Wall Carbon Nanotubes. Zeitschrift für Kristallographie 227 (2012), 672-680. https://archium.ateneo.edu/mathematics-faculty-pubs/38/
33. Bugarin, E. P. and De Las Peñas, M.L.A.N. On Bravais Colorings Associated with Periodic and Non-Periodic Crystals. Phil. Journal of Science 140-1 (2011), 89-97.
34. Bugarin, E. P., De Las Peñas, M.L.A.N and Frettlöh, D.  Colourings of Cyclotomic Integers with Class Number One. Philosophical Magazine 91:19-21 (2011), 2690-2699. https://archium.ateneo.edu/mathematics-faculty-pubs/99/
35. Gozo, B., De Las Peñas, M.L.A.N., Laigo, G. R. and Felix, R. P. Semi-Perfect Colourings of Hyperbolic Tilings. Philosophical Magazine 91:19-21 (2011), 2700-2708. https://archium.ateneo.edu/mathematics-faculty-pubs/102/
36. Laigo, G. R., De Las Peñas, M.L.A.N. and Felix, R. P. On Subgroups of Hyperbolic Coxeter Tetrahedral Groups. Zeitschrift für Kristallographie 225 (2010) 313-338. https://archium.ateneo.edu/mathematics-faculty-pubs/136/
37. Bugarin, E. P., De Las Peñas, M.L.A.N., Evidente, I., Felix, R. P and Frettlöh. D.  On Color Groups of Bravais Colorings of Planar Modules with Quasicrystallographic Symmetries. Zeitschrift für Kristallographie 223: 11-12 (2008) 785-790. https://archium.ateneo.edu/mathematics-faculty-pubs/104/
38. Decena, C., De Las Peñas, M.L.A.N. and Felix, R. P. Enumeration of Index 3 and 4 Subgroups of Hyperbolic Triangle Symmetry Groups. Zeitschrift für Kristallographie 223 10 (2008), 543-551. https://archium.ateneo.edu/mathematics-faculty-pubs/105/
39. De Las Peñas, M.L.A.N. and Felix, R. P. Color Groups Associated with Square and Hexagonal Lattices. Zeitschrift für Kristallographie 222 (2007), 505-512. https://archium.ateneo.edu/mathematics-faculty-pubs/107/
40. Provido, E. B., De Las Peñas, M.L.A.N. and Felix, R. P. On Index 2 Subgroups of Hyperbolic Symmetry Groups. Zeitschrift für Kristallographie 222 (2007) 443-448. https://archium.ateneo.edu/mathematics-faculty-pubs/108/
41. Laigo, G.R., De Las Peñas, M.L.A.N. and Felix, R. P. Colorings of Hyperbolic Plane Crystallographic Patterns. Zeitschrift für Kristallographie 221 (2006), 665-672. https://archium.ateneo.edu/mathematics-faculty-pubs/110/