File:A monohedral polyhedron of type 3 with genus 1 with 28 vertices, 84 edges and 56 faces.jpg
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editDescriptionA monohedral polyhedron of type 3 with genus 1 with 28 vertices, 84 edges and 56 faces.jpg |
English: The picture shows a new monohedral polyhedron of type 3 with genus 1. It has 28 vertices, 56 faces and 84 edges and exhibits dihedral D_7 symmetry. This is an example of the class with external prongs. Polyhedra have fascinated the human mind since Egyptian and Greek antiquity. With their different degrees of regularity they still form a modern field of research in mathematics, on the other hand they captivate by their clear aesthetics and we marvel at their occurrence in inanimate and animate nature, e.g. in crystals, fullerenes or radiolarian shells. Here, architects and designers find an inexhaustible supply of new forms and a never-ending source of inspiration. The image was rendered in Blender and the polyhedron was set in scene with an iridescent surface of mother-of-pearl. The picture is part of the article "New families of monohedral polyhedra", submitted for publication in the "Journal of Mathematics and the Arts", in collaboration with Nina Hungerbühler and Marcel Pirron. English: The picture shows a new monohedral polyhedron of type 3 with genus 1. It has 28 vertices, 56 faces and 84 edges and exhibits dihedral D_7 symmetry. This is an example of the class with external prongs. Polyhedra have fascinated the human mind since Egyptian and Greek antiquity. With their different degrees of regularity they still form a modern field of research in mathematics, on the other hand they captivate by their clear aesthetics and we marvel at their occurrence in inanimate and animate nature, e.g. in crystals, fullerenes or radiolarian shells. Here, architects and designers find an inexhaustible supply of new forms and a never-ending source of inspiration. The image was rendered in Blender and the polyhedron was set in scene with an iridescent surface of mother-of-pearl. The picture is part of the article "New families of monohedral polyhedra", submitted for publication in the "Journal of Mathematics and the Arts", in collaboration with Nina Hungerbühler and Marcel Pirron. |
Date | |
Source | Own work |
Author | Norbert Hungerbühler |
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This file was uploaded as part of Wiki Science Competition 2023. |
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current | 07:37, 23 November 2023 | 4,500 × 2,532 (5.46 MB) | Norbert Hungerbühler (talk | contribs) | Uploaded own work with UploadWizard |
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