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24-Cell Perspective Projection 3d printed

DIGITAL PREVIEW
Not a Photo

White Strong & Flexible
24-Cell Perspective Projection 3d printed
24-Cell Perspective Projection 3d printed

DIGITAL PREVIEW
Not a Photo

24-Cell Perspective Projection

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.
$19.60
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Product Description

This is a wireframe model of a perspective projection into 3 dimensional space of the vertices of a regular 4 dimensional regular solid, or 4-polytope, called the 24-cell or octaplex. The 24-cell (also called the icositetrachoron, polyoctahedron, or hyperdiamond) is the four dimensional analogue of the octahedron, a regular 3D Platonic solid. It has a Schläfli symbol {3,4,3}, which means that the polygon faces of the cells have 3 equal sides, meeting 4 at a vertex, to form an octahedral cell, 3 of which meet around each edge in 4 dimensions. The boundary of the figure is 24 octahedral cells. All together the, octaplex has 96 triangular faces, 96 edges, and 24 vertices. The vertex figure (the shape exposed when a 4D corner is sliced off) is a cube, with 6 octahedra meeting at each vertex. The 24-cell is self-dual. It is one the 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 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.
What's in the Box
INCM
24-Cell Perspective Projection
White Strong & Flexible
Width
7.3 cm
Height
7.3 cm
Depth
7.3 cm

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