1,1

The significance of these numbers is not known. One possible explanation has been proposed by Paul Bien, see below. The box is of interest because of its rarity and great value.

Paul Bien, paper 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.

Harry Waldman, MAA is offered opportunity to buy a unique gold logo, FOCUS (Math. Assoc. Amer.), Vol. 26 (No. 9, 2006), p. 13. [The icosahedron is the logo of the Math. Assoc. America.]

Invaluable.com, Another picture

National Galleries of Scotland, Icosahedron

Saratoga Fine Art, Another picture

The numbered faces are as follows:

......./ \../ \

....../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 with the top

section as shown here being on the lid. Paul Bien relates the sums of numbers

in the top, round the middle bottom and the total to give approximations (to

3 decimal places) to Pi, Pi squared, Pi cubed, Phi (golden mean), Phi squared, Phi

cubed, root 2, root 3 and root 6 [Comments from Ron Knott, Dec 16 2006]

Sequence in context: A102815 A105957 A105958 this_sequence A124251 A053715 A038581

Adjacent sequences: A124247 A124248 A124249 this_sequence A124251 A124252 A124253

nonn,fini,full,unkn

N. J. A. Sloane (njas(AT)research.att.com), based on email from T. D. Noe, Dec 15 2006