#sections of 3-cube

Quantum Naughts and Crosses Revisited - VII
The Cube Sliced and Diced
Cartesian Series: Sections S_H, S_HE, S_E

(continued from here)

Below are the three sagittal sections of the Cartesian 3-cube. All three have nine distinct ordered triads,  one located at each discretized Cartesian spatial locus. S_H and S_E sections have four vertices, four edge centers and one face center as did the F_H,  F_E,  T_H, and T_E sections seen earlier. The S_HE section contains four edge centers and four face centers and also, as its central point, the single cube center,  as did the F_HE and T_HEsections.^[1]

These are all Cartesian yz-planes, seen in three-dimensional context at different x-values.  For S_H,  x = +1.  For S_HE,  x = 0.  For S_E,  x = -1.

The key to labeling of points in these sections and all those to follow can be found here.

Section S_H

Section S_HE

Section S_E

Having completed our survey of sections of the Cartesian 3- cube, we are now ready to view the Taoist transliteration equivalents.  Almost. But first …

(continuedhere)

Notes

[1] See here for comment regarding the spurious appearance of edge and face centers in section F_HE. That comment applies to the S_HE and the T_HE sections as well. The deceptive appearance can be described as being an initially misleading artifact of the sectioning methodology.

© 2015 Martin Hauser

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