NEW: Natural and Polished Copper
LEARN MORE

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

DIGITAL PREVIEW
Not a Photo

Polished Gold Steel
16-cell, stereographic projection, thick edges 3d printed
16-cell, stereographic projection, thick edges 3d printed

DIGITAL PREVIEW
Not a Photo

16-cell, stereographic projection, thick edges

$70.51
Ships as soon as 14 days
3D printed in enrobed in 24k gold and polished to a mild sheen with visible print lines.
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 and edges have been stereographically projected here  into 3 dimensions (the edges are assumed to have thickness, and hence become thicker when projected stereographically).   In a stereographic projection, the straight  lines are projected first onto the circumsctibing hypersphere,  becoming circular arcs,  then projected into 3-space from a point on top of the hypersphere.  In this projection, angles are preserved, but length is not, and circles remain circles. 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, thick edges
Dimensions:
5.8 x 5.8 x 5.8 cm
Switch to inches
2.28 x 2.28 x 2.28 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.