Morphing Tilings of the Plane into Tilings of Surfaces

• Main Authors: Loyola, Mark, De las Penas, Ma. Louise Antonette
• Format: text
• Published: Archīum Ateneo 2023
• Subjects: Mathematics; Physical Sciences and Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/274; http://atcm.mathandtech.org/EP2023/regular/22056.pdf
• Institution: Ateneo De Manila University

This work discusses a procedure to generate a tiling of a 2-dimensional surface embedded in the Euclidean 3-space ℝ from a tiling of the Euclidean plane ℝ. We employ the computer algebra system Mathematica to generate 3D graphical images of and and render animations which create the effect...