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Hyperbolised Platonic Solids – Modèle 3D imprimable de MakerWorld MakerWorld
Mathematics

Hyperbolised Platonic Solids

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Hyperbolized Platonic SolidsI created these unique 3D models as part of a scientific study on particle packing. I thought they were too beautiful not to share! What are Platonic Solids?Platonic solids are geometric shapes where each face is an identical, regular polygon. They include:Tetrahedron (4 faces)Hexahedron (cube, 6 faces)Octahedron (8 faces)Dodecahedron (12 faces)Icosahedron (20 faces)As the number of faces increases, these solids become more spherical but always remain strictly convex. What is Hyperbolization?By applying a geometric transformation known as 'hyperbolization,' I could manipulate the convexity of these solids. This process allows each solid to morph continuously from a perfect sphere to a highly angular version of itself. To maintain the volume constant during these transformations, I rescaled the solids. This makes the changes appear more fluid and allows for easy comparison between different stages of transformation.Some of these hyperbolized shapes mi
Catégorie
Mathematics
Source
MakerWorld
Publié
Mis à jour
Ce qu'il faut pour imprimer: Débutant Confiance faible
Monobloc
Supports 1/3
Assemblage 0/3
Réglages 1/3
Taille du plateau 0/3
Post-traitement 0/3
Imprimante
FDM / FFF
Format de fichier
STL
Matériau
PLA
Logiciel
Cura, PrusaSlicer ou similaire
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