Re: JSH: Learning consensus

are you going to do the Feynman diagrams for this?

of a long shot it is, even when all of his opportunities to be right
are summed together. (it's closer to an "all of the air moleculues in

thus:
your terminology is unstandard, although
there aren't that many works where it's given
for the 3d stuff. even Bucky Fuller didn't know this stuff!

I seriously doubt that there is any other kind of tetrahedron
for which A^2 + B^2 + C^2 = D^2 will hold, although
I don't recall any proof, or even mention of this.
(capital letters are used for the vertices, and
the facets can then be designated per their opposite vertices;
sides are small letters, a, b c, d, e, f, most sually, although
how to place them is dependent on how the problem is set.)

best (synthetic) book is _Modern Pure Solid Geometry_
by Altshiller-Court ('35, Oklahoma U. Press),
aka "The Tetrahedron and How To Use it!"

suffices only to show a counterexample, and we need only show that the
second term in the first expression can vanish when a, b, and g are not
all pi/2. This happens, e.g., when a=b=pi/4, g=pi/2, A=B=1/2, and
C=sqrt2. For this case we have a tetrahedron where the square of the
area of one face is equal to the sum of the squares of the areas of the
other three faces, but the tetrahedron is not a right tetrahedron.

--It takes at least two to polka!
http://www.lsbu.ac.uk/water/strand.html
http://www.21stcenturysciencetech.com/2006_articles/Keplerian.W05.pdf
http://larouchepub.com/other/2006/3315greenland_ice.html
http://members.tripod.com/~american_almanac
http://wlym.com/pdf/iclc/walterlippman.pdf
http://www.benfranklinbooks.com/
http://tarpley.net/bush12.htm
http://www.wlym.com/pdf/iclc/howthenation.pdf
http://larouchepub.com/other/2003/3048iraq_58_const.html
http://www.rand.org/publications/randreview/issues/rr.12.00/
http://www.rwgrayprojects.com/synergetics/plates/figs/plate01.html

.

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