Erich, Very nice. You seem to have also had the excellent idea of using only one club foot; Alexey Nigin found a 15-face golyhedron using a 4-by-2 club foot and a similar method: http://cp4space.wordpress.com/2014/05/11/golyhedron-update/ This means that the minimum number of faces is either 11, 12 or 15. Both your golyhedron and Alexey's are considerably better than my 32-face behemoth. Sincerely, Adam P. Goucher

----- Original Message ----- From: Erich Friedman Sent: 05/16/14 01:42 AM To: Adam P. Goucher, Ed Pegg, alexanderbellos@googlemail.com Subject: Re: [math-fun] Golyhedra

adam

i found a golyhedron with 19 faces. george sicherman deserves credit for giving me the good idea of a 2x3 club foot. and you deserve credit for your snake idea. there is no golyhedron of the same form with 15 faces, but i haven't checked all different club feet. or there may be some other construction possible for smaller n.

a picture is enclosed. i would post this to math-fun, but i can't post for some reason. feel free to forward it if you think people care.

erich