Eikosany tumbling in 5D (was: How do I triangulate an N-dim lattice?)

Here it is!

http://~zzdkeena/Music/EikosanyRotation.xls

Many thanks to all those who pulled out all the stops to help make this a
reality. Notably Keenan Pepper, Oscar Lanzi III (who responded to my post
in sci.math) and Paul Erlich.

Oscar expressed the required transformation matrix as

M = (I + f(n)*E)/sqrt(2)

where
I is the 3x3 identity matrix
E is the 3x3 matrix consisting entirely of 1's
n is the number of dimensions
f(n) = (sqrt(n+1)-1)/n

I used Keenan Pepper's solution since it was already unpacked for 5D. I
haven't checked if Oscar Lanzi's comes out the same.

About the tumbling eikosany. It is certainly fascinating to watch and
should run for several hours before repeating, but I'm not sure I'm any the
wiser about eikosanies for watching it. If you see the donut, be sure to
record the 4 angles and tell us.

Someone else might want to modify it to add all the other edges as Paul
Erlich suggested, or try a dekany in 4D.

Regards,
-- Dave Keenan
http://dkeenan.com

--- In tuning@egroups.com, David C Keenan <D.KEENAN@U...> wrote:

http://www.egroups.com/message/tuning/14806

> Here it is!
>
> http://~zzdkeena/Music/EikosanyRotation.xls
>

I would very much like to see this, but I keep getting a "cannot
locate the server." Is one of the servers down?? Somehow, I can
still get to Dave Keenan's main page... but I don't see this file
listed there...

OH! I just found the "correct" path... the file is not listed on
Dave's "music" page:

http://www.uq.net.au/~zzdkeena/Music/EikosanyRotation.xls

thanks

Joe Pehrson

P.S. I wonder if Keenen Pepper is available to help me with my math
homework...??