a MUCH better photo of the icosahedron
Ron Knott
ron at ronknott.com
Fri Dec 15 18:08:11 CET 2006
>Google Icosahedron Tipu Sultan , look at third link, ebay:Southeby's,
>and scroll down a bit
>
>now all we need is someone who can read moghul numbers - Vinay,
>can you help?
>
>njas
Paul Bien wrote a paper on this numbered icoshedron, presented at the
10th Conference on Fibonacci Numbers and their Applications (2002) but
which did not appear in the Proceedings. It appeared in an earlier
format in The Eighth Midwest History of Mathematics Comference, October
2000.
/ \ / \
/202\/601\
-----------
\901/\701/
\ /801\/
---------------------
\ 11/\91/\ 71/\ 51/\ 31/\
\ /20\/ 81\/61\/ 41\ /21\
------------------------
\101/\201/\301/\401/\501/
\/ \/ \/ \/ \/
The hinge is on the edge common to the faces 71 and 801 witht he top
section as shown here being on the lid. He relates the sums of numbers
in thetop, round the middle bottom and total to give approximations (to
3 dps) to Pi, Pi squared, Pi cubed, Phi (golden mean), Phi squared,Phi
cubed, root 2, root 3 and root 6
Ron Knott
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