Click and drag to rotate
24-Cell Stereographic Projection 3d printed

DIGITAL PREVIEW
Not a Photo

Natural Bronze
24-Cell Stereographic Projection 3d printed
24-Cell Stereographic Projection 3d printed

DIGITAL PREVIEW
Not a Photo

24-Cell Stereographic Projection

Print With Shapeways
Choose Your Material
$143.10
Basic Materials Best Value
Shop Owner Recommendations
Choose your color and finish
QTY

Have a question about this product?

contact the designer
You must be logged in and verified to contact the designer.
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 24-cell or octaplex, which has been projected on to the unit hypersphere. 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 edges of the octaplex have been projected to the hypersphere, where they are all part of great circles , or equators, and circles are preserved in stereographic projection, the projected model is composed entirely of circles (16 of them, consisting of 6 edges apiece). The lengths of the edges are not preserved in this projection, but the angles between them are. The 'wires' have been increased in thickness to 1.61mm for better printing and shipping.

Details
What's in the box:
24-Cell Stereographic Projection
Dimensions:
6.75 x 6.75 x 6.75 cm
Switch to inches
2.66 x 2.66 x 2.66 inches
Switch to cm
Success Rate:
First To try.
What's this?
Rating:
Mature audiences only.
Logo

Hello.

We're sorry to inform you that we no longer support this browser and can't confirm that everything will work as expected. For the best Shapeways experience, please use one of the following browsers:

Click anywhere outside this window to continue.