■DE群多面体の面数公式(その553)
ワイソフ構成は3部よりなるが,1部2部はαと同じ,3部を局所幾何から求めればよい.
===================================
[1]αnの局所幾何は(m+1,k+1)
(1,2)
(1,3,3)
(1,4,6,4)
(1,5,10,10,5)
(1,6,15,20,15,6)
(1,7,21,35,35,21,7)
(1,8,28,56,70,56,28)
[2]βnの局所幾何は(m,k)2^m-k
(1,2)
(1,4,4)
(1,6,12,8)
(1,8,24,32,16)
(1,10,40,80,80,32)
(1,12,60,160,240,192,64)
(1,14,84,280,560,672,448,128)
===================================
[3]hγnの局所幾何は
(1,1)
(1,3,3)
(1,6,12,8)
(1,10,30,30,5+5)
(1,15,60,80,30+15,6+6)
(1,21,105,175,105+35,42+21,7+7)
(1,28,168,336,280+70,168+56,56+28,8+8)
[4]Enの局所幾何は
(1,3,1+2)
(1,6,9,2+3
(1,10,30,30,5+5)
(1,16,80,160,120,10+16)
(1,27,216,720,1080,216+432,72+27)
(1,56,756,4032,10080,12096,6048,126+576)
===================================