Virtual MEdZ #1.0

May 28, 2020 in Cool Tricks, Finite Geometry, MathEdZine, Projective Spaces

the tetrahedral group at left: A_4, to the group-theory geeks.

up top, the “yrb” labeling of the vertices of a cube,
with the bit-string digital code and a 2-D projection.
the seven-color theorem… concerning the simple group
of order 168 & MRBGPYO… is hinted at.

under that, as one can *kind of* read on the blurry photo,
is “desargues theorem in color” — ten “points”
(one Mud, two Yellow, two Blue, two Red, one Green,
one Purple, one Orange) in abstract “space”.
the best version… i’m not technically up to drawing it…
is to put the colors on the ten diagonals of a dodecahedron.
next best is the five-point star version taking up
the biggest part of the file-folder.

next to that on the right: the vertices of the cube
colorized again. pretty much the same way if memory serves.
the points-to-lines “duality” is colorized better here, i think.

at the bottom, several versions of the seven-point star version
of the MRBGPYO theorem… and other stuff about heptagons.

there’re some books in there, too. that’s it for today.

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