Mark D Tomenes
Biographic Data
| ID | 10270130 |
|---|---|
| NAME | Mark D Tomenes |
| GIVEN NAMES | Mark D |
| FAMILY NAME | Tomenes |
| SIGNATURE | TOMENES M D |
| ORCID | 0009-0001-5078-9420 |
| VERIFIED | No |
| TOTAL WORKS | 3 |
| TOTAL CITATIONS | 0 |
| WORKS AS AUTHOR | 3 |
| WORKS AS EDITOR | 0 |
| FIRST PUBLICATION YEAR | 2024 |
| LATEST PUBLICATION YEAR | 2025 |
| H-INDEX | 0 |
Highly symmetric (a, b, c, d) tilings with cubical symmetries
This paper presents a method for constructing tilings of the Euclidean space . Here, an tiling is defined as a tiling with , , and transitivity classes of vertices, edges, faces, and tiles, respectively, under the action of its symmetry group. By employing the process of dualization and subgroup structures of symmetry groups, tilings with varying transitivity properties can be derived from a known tiling. Using the method, one can use the subgrou…
Highly Symmetric (a,b,c,d) Tilings with Cubical Symmetries
Mathematical symmetries of the binakul textiles
This paper presents a method to analyze the layer symmetry structure of a textile, representing it as a two-way twofold fabric and applying notions of color symmetry to its corresponding design. In particular, it presents an analysis of the symmetry structures of the binakul textiles or binakul of the Itneg, an ethnic group located in the northern part of the Philippines. The layer symmetry groups of the binakul are determined. Results reveal tha…
No prominent works on this page.
Highly Symmetric (a,b,c,d) Tilings with Cubical Symmetries
Mathematical symmetries of the binakul textiles
This paper presents a method to analyze the layer symmetry structure of a textile, representing it as a two-way twofold fabric and applying notions of color symmetry to its corresponding design. In particular, it presents an analysis of the symmetry structures of the binakul textiles or binakul of the Itneg, an ethnic group located in the northern part of the Philippines. The layer symmetry groups of the binakul are determined. Results reveal tha…
Highly symmetric (a, b, c, d) tilings with cubical symmetries
This paper presents a method for constructing tilings of the Euclidean space . Here, an tiling is defined as a tiling with , , and transitivity classes of vertices, edges, faces, and tiles, respectively, under the action of its symmetry group. By employing the process of dualization and subgroup structures of symmetry groups, tilings with varying transitivity properties can be derived from a known tiling. Using the method, one can use the subgrou…
Geometry (3 works) · Homogeneous space (3 works) · Mathematics (3 works) · Combinatorics (2 works) · Quasicrystal Structures and Properties (2 works) · Supramolecular Self-Assembly in Materials (2 works) · Architecture and Computational Design (1 work) · Graph theory and applications (1 work) · Phase-change materials and chalcogenides (1 work) · Physics (1 work)