#transverse sections

Quantum Naughts and Crosses Revisited - VI
The Cube Sliced and Diced
Cartesian Series: Sections T_H, T_HE, T_E

(continued from here)

We see grouped together below the three transverse sections of the Cartesian 3-cube. All three have nine distinct ordered triads, one located at each discretized Cartesian spatial locus.  Both T_H and T_E sections have four vertices, four edge centers,  and one face center as did the F_H and F_E sections seen earlier. The T_HE section contains four edge centers and four face centers, and also, as its central point, the single cube center.^[1]  These are all Cartesian xz-planes, seen in three-dimensional context at different y-values.  For T_H,  y = +1.  For T_HE,  y = 0.  For T_E,  y = -1.

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

Section T_H

Section T_HE

Section T_E

In the next post we’ll look at the three sagittal sections of the Cartesian 3-cube.

(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 T_HE section as well and also to the S_HE section we will view in the next post.

© 2015 Martin Hauser

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