I've got some improvements on the web, e.g. the PVR-/PVR thing
is now 1-PVR-<0.00052 (much more definite and precise).
Also, re confusions about "four-fold symmetry" (tetrahedron's
7 axes give it bilateral and tri-fold), I've made it clearer
what liberties I'm taking:
In synergetic geometry, the nested systems of
the concentric hierarchy (tetrahedron, duo-tet
cube, octahedron...) divide into two regimes:
the 4-fold and 5-fold symmetric. Here I'm using
"four-fold symmetric" as a short-hand for
lattice-embedded systems, those generating
repeating patterns (like repeating decimals)
in the isotropic vector matrix of dense-packed
equiradiused spheres. I'm also making a tie-back
to William Blake's poetry (Synergetics is a work
in the humanities after all).
(and I link to Hart on Symmetry Axes for the full story).
Thanks again to all my cyberspatial collaborators.
Kirby
Curriculum writer
Oregon Curriculum Network (OCN)
****************************************************************************
* To post to the list: email mathedcc@archives.math.utk.edu *
* To unsubscribe, send mail to: majordomo@archives.math.utk.edu *
* In the mail message, enter ONLY the words: unsubscribe mathedcc *
* Words in the Subject: line are NOT processed! *
* Archives at http://archives.math.utk.edu/hypermail/mathedcc/ *
****************************************************************************