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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Main Authors: Loyola, Mark, De las Penas, Ma. Louise Antonette
Format: text
Published: Archīum Ateneo 2023
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Online Access:https://archium.ateneo.edu/mathematics-faculty-pubs/274
http://atcm.mathandtech.org/EP2023/regular/22056.pdf
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Institution: Ateneo De Manila University
id ph-ateneo-arc.mathematics-faculty-pubs-1275
record_format eprints
spelling 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
institution Ateneo De Manila University
building Ateneo De Manila University Library
continent Asia
country Philippines
Philippines
content_provider Ateneo De Manila University Library
collection archium.Ateneo Institutional Repository
topic Mathematics
Physical Sciences and Mathematics
spellingShingle Mathematics
Physical Sciences and Mathematics
Loyola, Mark
De las Penas, Ma. Louise Antonette
Morphing Tilings of the Plane into Tilings of Surfaces
description 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 .
format 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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