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Sydler pi/4 polyhedron 3d printed

Not a Photo

White Strong & Flexible
Sydler pi/4 polyhedron 3d printed
Sydler pi/4 polyhedron 3d printed

Not a Photo

Sydler pi/4 polyhedron

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3D printed in white nylon plastic with a matte finish and slight grainy feel.
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Product Description
This is the second and simplified version of the polyhedron. I have not yet tested its 3d printability yet.

All dihedral angles of this polyhedron are right except for one which is 45 degrees. The polyhedron is also scissors congruent to a cube.

The construction is described here.

This polyhedron has been described by Jean-Pierre Sydler in his proof of Sydler’s Theorem which is related to Hilbert’s third problem and states that every polyhedron is determined by its volume and Dehn invariant up to scissors congruence.

References: J.-P. Sydler, “Conditions necessaires et suffisantes pour l’equivalence des polyedres de l’espace euclidien a trois dimensions”, Commentarii mathematici Helvetici (1965/66) Volume: 40, page 43-80
What's in the box:
Sydler pi/4 polyhedron
5.28 x 6.48 x 5.21 cm
Switch to inches
2.08 x 2.55 x 2.05 inches
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