Morphing Tilings of the Plane into Tilings of Surfaces
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...
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2023
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ph-ateneo-arc.mathematics-faculty-pubs-12752024-09-26T07:12:18Z Morphing Tilings of the Plane into Tilings of Surfaces Loyola, Mark De las Penas, Ma. Louise Antonette 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 of morphing into . 2023-01-01T08:00:00Z text https://archium.ateneo.edu/mathematics-faculty-pubs/274 http://atcm.mathandtech.org/EP2023/regular/22056.pdf Mathematics Faculty Publications Archīum Ateneo Mathematics Physical Sciences and Mathematics |
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Mathematics Physical Sciences and Mathematics Loyola, Mark De las Penas, Ma. Louise Antonette Morphing Tilings of the Plane into Tilings of Surfaces |
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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 of morphing into . |
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text |
author |
Loyola, Mark De las Penas, Ma. Louise Antonette |
author_facet |
Loyola, Mark De las Penas, Ma. Louise Antonette |
author_sort |
Loyola, Mark |
title |
Morphing Tilings of the Plane into Tilings of Surfaces |
title_short |
Morphing Tilings of the Plane into Tilings of Surfaces |
title_full |
Morphing Tilings of the Plane into Tilings of Surfaces |
title_fullStr |
Morphing Tilings of the Plane into Tilings of Surfaces |
title_full_unstemmed |
Morphing Tilings of the Plane into Tilings of Surfaces |
title_sort |
morphing tilings of the plane into tilings of surfaces |
publisher |
Archīum Ateneo |
publishDate |
2023 |
url |
https://archium.ateneo.edu/mathematics-faculty-pubs/274 http://atcm.mathandtech.org/EP2023/regular/22056.pdf |
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1811611636485586944 |