NEW: Natural and Polished Copper
LEARN MORE

Click and drag to rotate
16-cell, stereographic projection 3d printed

DIGITAL PREVIEW
Not a Photo

Natural Bronze
16-cell, stereographic projection 3d printed
16-cell, stereographic projection 3d printed

DIGITAL PREVIEW
Not a Photo

16-cell, stereographic projection

$35.86
3D printed in organic bronze resembling rose gold with a rough antique finish.
QTY

Have a question about this product?

contact the designer
You must be logged in and verified to contact the designer.
Product Description
The 16-cell is a 4D polytope, or 4-orthoplex,  which is the 4th dimensional analog to a regular octahedron.   The orthoplex has 8 vertices,  24 edges, and 16 tetrahdral cells, which form the 4D analyagy to  faces in 3D, and 32 triangular faces. There are 4 cells around each edge, and 8 around each vertex.   It is the dual of the 4D cube, or tesseract.

The vertices have been stereographically projected here  into 3 dimensions and connected with edges which are also stereographically projected into 3D from 4D (the edges are assumed to be dimensionless lines, and hence do not change thickness when projected).   In a stereographic projection, the straight edges in 4D are first projected onto the circumscribing 4D hypersphere, so the edges become circular arcs. In the projection, angles are preserved, but length is not. The 24 edges become 6 circles, each composed of 4 edges as circular arcs, which in 4D would all be equal in length.
 
Details
What's in the box:
16-cell, stereographic projection
Dimensions:
5.52 x 5.52 x 5.52 cm
Switch to inches
2.17 x 2.17 x 2.17 inches
Switch to cm
Success Rate:
First To try.
What's this?
Rating:
Mature audiences only.
Sign In or Join to comment.
 
 
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.