File:A monohedral polyhedron of type 3 with genus 1 with 28 vertices, 56 faces and 84 edges.jpg

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A monohedral polyhedron of type 3 with genus 1 with 28 vertices, 56 faces and 84 edges

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Description
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 internal 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 staged in white marble with gilded edges. 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 internal 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 staged in white marble with gilded edges. 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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Date/TimeThumbnailDimensionsUserComment
current07:37, 23 November 2023Thumbnail for version as of 07:37, 23 November 20234,500 × 2,532 (5.8 MB)Norbert Hungerbühler (talk | contribs)Uploaded own work with UploadWizard

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