Just a few days left to Make Your Holiday!
Check order deadlines

<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/VLDLS8Q6W/600-cell-puzzle-tettricks" /> <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
600-Cell puzzle, TetTricks 3d printed The disassembled puzzle.

DIGITAL PREVIEW
Not a Photo

The disassembled puzzle.
600-Cell puzzle, TetTricks 3d printed The disassembled puzzle.
600-Cell puzzle, TetTricks 3d printed The disassembled puzzle.

DIGITAL PREVIEW
Not a Photo

600-Cell puzzle, TetTricks 3d printed The assembled puzzle.
600-Cell puzzle, TetTricks 3d printed The assembled puzzle.

DIGITAL PREVIEW
Not a Photo

600-Cell puzzle, TetTricks 3d printed A colored rendering of the assembled puzzle, which is one color.
600-Cell puzzle, TetTricks 3d printed A colored rendering of the assembled puzzle, which is one color.

DIGITAL PREVIEW
Not a Photo

600-Cell puzzle, TetTricks 3d printed
600-Cell puzzle, TetTricks 3d printed

DIGITAL PREVIEW
Not a Photo

600-Cell puzzle, TetTricks

  Will arrive by Dec 23 in this material. Details
OVERVIEW
  • 3D printed in White Strong & Flexible: White nylon plastic with a matte finish and slight grainy feel.
  • Be the first to try. Learn more
  • This product is intended for mature audiences.
$35.16
1
0
Share Link
Embed This Product

Product Description

This is a partial 600-cell (a 4 dimensional regular polytope, the 4D equivalent of a regular icosahedron, with tetrahedral 'faces' called cells).  It's also called an icosaplex or a polyicosahedron. This is a vertex centered perspective projection of part of that shape into 3D. It includes only the central 115 tetrahedra out of the 600, in 10 strips: 5 central spine strips, and 5 more outer strips which spiral around the spine. There would be 20 of these strips in total, if the entire 600-cell were included in the puzzle. Each strip would then have 30 tetrahetrons, and the centers of each strip's tetrahedra would lie on a circle, with each strip interlinked with every other one. This is because the 600-cell vertices all lie on the 4D unit hypersphere (and their centers on a slightly smaller hypersphere), and the Hopf Fibration provides a 1-1 mapping into 3D of  the decomposition of the 600-cell into 20 strips, with the centers of the tetrahedra (and also their vertices) lying on circular fibers. This puzzle was inspired by Henry Segeman's and Saul Schleimer's Quintessence puzzle, also available on Shapeways, and this puzzle is a dual of an inner part of of that puzzle, part of a 120-cell, the dual of the 600-cell. This puzzle is in the shape of a Stellated Dodecahedron (with 60 faces- please see the attached rendering). Point to opposite point, the assembled puzzle is 5.74 cenimeters in diameter (2.26"). Because the plastic is a bit flexible, the pieces will pop together and stay together.

What's in the Box
INCM
C600pz
White Strong & Flexible
Width
8.1 cm
Height
5.8 cm
Depth
7.5 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.