<div class="sw-email-modal sw--display-block"> <div id="emailModalContentContainer"> <span class="noty_close sw--position-absolute sw--position-right sw--padding-top-3 sw--padding-right-3 icon-cancel sw--opacity-8"></span> <div class="sw-row"> <div class="sw-email-modal__copy sw--position-relative sw--display-block sw--padding-vert-4"> <p class="last sw--font-size-16">Sign up to get email alerts on discount promotions. There might be one very soon...</p> <form action="/register/email-signup" class="sw-email-modal__signup sw--position-relative" data-confirmation="emailConfirmationModal" data-sw-email-modal-form> <input type="text" class="sw-email-modal__signup-input sw--input-height__medium" placeholder="Email address" name="email" /> <input type="hidden" class="sw-email-modal__signup-input" name="location" value="/product/KP9XF94AM/120-cell-perspective-projection-1" /> <input type="hidden" class="sw-email-modal__signup-input" name="confirmation" value="emailConfirmationModal" /> <input type="submit" class="btn-primary" value="Sign Up" /> <div id="emailModalFormError" class="text-error" style="display:none"></div> </form> </div> </div> </div>

Click and drag to rotate
120-Cell, Perspective Projection 1 3d printed

DIGITAL PREVIEW
Not a Photo

Frosted Ultra Detail
120-Cell, Perspective Projection 1 3d printed
120-Cell, Perspective Projection 1 3d printed

DIGITAL PREVIEW
Not a Photo

120-Cell, Perspective Projection 1

OVERVIEW
  • 3D printed in Frosted Ultra Detail: Matte translucent plastic that showcases fine and intricate details.
  • Be the first to try. Learn more
  • This product is intended for mature audiences.
$64.85
1
0
Share Link
Embed This Product

Product Description

This is a wireframe model of a perspective projection into 3 dimensional space of the regular 4 dimensional regular solid, or 4-polytope, called the 120-cell or dodecaplex. The 120-cell is the four dimensional analogue of the dodecahedron. It has a Schläfli symbol {5,5,3}, which means that the polygon faces of the cells have 5 equal sides, meeting 3 at a vertex, to form an dodecahedral cell, 3 of which meet around each edge in 4 dimensions. The figure in 4-space is 120 dodecahedral cells, all of whose vertices lie on a 4 dimensional hypersphere. All together the dodecaplex has 720 pentagonal faces, 1200 edges, and 600 vertices. The vertex figure (the shape exposed when a 4D corner is sliced off) is a tetrahedron, with 4 dodecahedrons meeting at each vertex. The 120 cell is one of 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 the dodecaplex were 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, and the perpective projection point has been chosen far enough away to make the interior dodecahedra almost as large as the exterior ones.

What's in the Box
INCM
120-Cell, Perspective Projection 1
Frosted Ultra Detail
Width
6.1 cm
Height
6.1 cm
Depth
6.1 cm

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.