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120-cell, largest 3d printed

DIGITAL PREVIEW
Not a Photo

White Strong & Flexible
120-cell, largest 3d printed
120-cell, largest 3d printed

DIGITAL PREVIEW
Not a Photo

120-cell, largest

OVERVIEW
  • 3D printed in White Strong & Flexible: White nylon plastic with a matte finish and slight grainy feel.
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  • This product is intended for mature audiences.
$105.15
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Product Description

This is a wireframe model of a stereographic projection into 3 dimensional space of a regular 4 dimensional regular solid, or 4-polytope, called the 120-cell or dodecaplex , which has been projected onto its circumscribed hypersphere. 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 called a polychoron). The lengths of the edges are not preserved in this projection, but the angles between them are. The model has been made larger than my other models of the dodecaplex because it is really pretty at a large size.
What's in the Box
INCM
120-cell, largest
White Strong & Flexible
Width
19.7 cm
Height
19.7 cm
Depth
19.8 cm

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