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E8 polytope, orthographic 3d printed

DIGITAL PREVIEW
Not a Photo

White Natural Versatile Plastic
E8 polytope, orthographic 3d printed projection info
E8 polytope, orthographic 3d printed projection info

DIGITAL PREVIEW
Not a Photo

E8 polytope, orthographic 3d printed
E8 polytope, orthographic 3d printed

DIGITAL PREVIEW
Not a Photo

E8 polytope, orthographic

$57.65
Ships as soon as 10 days
3D printed in white nylon plastic with a matte finish and slight grainy feel.
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Product Description
This is an orthographic projection into 3D of the 8 dimensional polytope of the roots of the E8 Lie group, labeled by Coxeter as the 4_21  semiregular uniform 8-polytope, and projected into 3 dimensions. It is the basis of Antony Garrett Lisi's "An Exceptionally Simple Theory of Everything" which hopes to unite all of the subatomic particles and forces in a single theory. (See Wikipedia, 421 and http://theoryofeverything.org/theToE/ ). This was created by J. Gregory Moxness, whose Mathematica notebook is available on his TheoryOfEverything website (see above).
The 8D polytope has 240 vertices (shown with spheres: one for each of the predicted 240 elementary particles) and 6720 edges. But this projection, which consists of two concentric 600-cells (also projected into 3D), has overlapping vertices, leaving a total of 137 of the 240 vertices visible (see the attached image):
    60 do not overlap (displayed in Yellow)
    128 overlap twice (64 overlap with 64 others = 64 displayed in Orange)
    52 overlap  4 times (13 overlap with 39 others = 13 displayed in Magenta).
While there are 6720 edges, the overlapping vertices reduces this to 3384 non-zero length visibe edges. Due to its complexity, the model had to be 'voxelized' (reduced to tiny 'voxels' of volume), then returned to a surface mesh.
Details
What's in the box:
E8 polytope, orthographic
Dimensions:
6.99 x 7.01 x 7 cm
Switch to inches
2.75 x 2.76 x 2.76 inches
Switch to cm
Success Rate:
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Rating:
Mature audiences only.
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