Hexeract

Design by ValerioParisi

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Hexeract

A nice projection of a hexeract, i.e. a 6D hypercube. The projection angle is optimized in order to maximize the minimum distance between each pair of edges in 3D space.

cm: 9.54 w x 11.3 d x 9.84 h

in: 3.756 w x 4.449 d x 3.874 h

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ValerioParisi says:

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I used a kind of Monte Carlo algorithm in order to find some good initial choices, then a simple local algorithm in order to refine the minima, and at the end I obviously used the best one of them. Please note that in the common 2D representation of a 3D cube, the edges in two direction remain about orthogonal and of the same length, and the edges in the third direction suffer large distortions, in my 3D projection of a 6D hypercube, the edges in three direction suffer large distortions while the others remain about orthogonal and of the same length.

May 20, 2012, 7:43 pm