I'm interested in solid geometry (polyhedra, 4-dimensional polytopes) and algebraic varieties (curves, surfaces) and I like to create models of these complex objects. Feel free to ask me also customized designs, for example a polyhedron with given dimensions and features. A polyhedron can be realized in different ways, like ball-and-stick style, solid faces, Leonardo-style, curved edges, and so on. Any one of these objects can be also equipped with a ring and transformed into a pendant or a keyholder. Numbers or labels added to any (suitable) polyhedron turn it into a die.
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in Symmetry groups section
Sterographic projection of the Tetrahedral group T. The sphere subdivided into fundamental triangles is projected from the north pole onto the equatorial plane, leading to a pattern of lines and circles. In this case the north pole (centre of projection) is taken on the 60° vertex of a fundamental triangle.
Sterographic projection of the Tetrahedral group T. The sphere subdivided into fundamental triangles is projected from the north pole onto the equatorial plane, leading to a pattern of lines and circles. In this case the north pole (centre of projection) is taken on the right angle vertex of a fundamental triangle.
Sterographic projection of the Tetrahedral group T. The sphere subdivided into fundamental triangles is projected from the north pole onto the equatorial plane, leading to a pattern of lines and circles. In this case the north pole (centre of projection) is taken on the midpoint of the long side of a fundamental triangle.
One of the 3 polyhedral symmetry groups. The tetrahedral group features 24 identical spherical triangles (fundamental regions) with angles of 90°, 60° and 60°. This is the symmetry group of the tetrahedron, and of many other uniform polyhedra.
One of the 3 polyhedral symmetry groups. The octahedral group features 48 identical spherical triangles (fundamental regions) with angles of 90°, 60° and 45°. This is the symmetry group of the cube and the octahedron, and of many other uniform polyhedra.
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Attractive geometric shapes like polyhedra, surfaces or higher dimension objects. For educational or decorative purposes. By Friz.