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24-Cell Perspective Projection 3d printed

Not a Photo

White Natural Versatile Plastic
24-Cell Perspective Projection 3d printed
24-Cell Perspective Projection 3d printed

Not a Photo

24-Cell Perspective Projection

3D printed in white nylon plastic with a matte finish and slight grainy feel.
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:
24-Cell Perspective Projection
7.31 x 7.31 x 7.31 cm
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2.88 x 2.88 x 2.88 inches
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Mature audiences only.
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