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120-Cell, Perspective Projection 1 3d printed

Not a Photo

Smooth Fine Detail Plastic
120-Cell, Perspective Projection 1 3d printed
120-Cell, Perspective Projection 1 3d printed

Not a Photo

120-Cell, Perspective Projection 1

3D printed in matte translucent plastic that showcases fine and intricate details.

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Product Description

This is a wireframe model of a perspective projection into 3 dimensional space of the regular 4 dimensional regular solid, or 4-polytope, called the 120-cell or dodecaplex. The 120-cell is the four dimensional analogue of the dodecahedron. It has a Schläfli symbol {5,5,3}, which means that the polygon faces of the cells have 5 equal sides, meeting 3 at a vertex, to form an dodecahedral cell, 3 of which meet around each edge in 4 dimensions. The figure in 4-space is 120 dodecahedral cells, all of whose vertices lie on a 4 dimensional hypersphere. All together the dodecaplex has 720 pentagonal faces, 1200 edges, and 600 vertices. The vertex figure (the shape exposed when a 4D corner is sliced off) is a tetrahedron, with 4 dodecahedrons meeting at each vertex. The 120 cell is one of the 6 regular convex polychora (a 4 dimensional regular polytope is also called a polychoron). Since the straight edges are preserved in perspective projection, they are not arcs, as they would be if the dodecaplex were first projected onto the hypersphere before projection into 3-space. The lengths of the edges and the angles between them are not preserved in this projection. This perspective projection is termed a Schlegel diagram of the polychoron, and the perpective projection point has been chosen far enough away to make the interior dodecahedra almost as large as the exterior ones.

What's in the box:
120-Cell, Perspective Projection 1
6.1 x 6.1 x 6.1 cm
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2.4 x 2.4 x 2.4 inches
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What's this?
Mature audiences only.
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