Movatterモバイル変換

[0]ホーム

Acronym	ogpy, 8/3-pyr
Name	octagrammic pyramid
Circumradius	1/sqrt[sqrt(8)] = 0.594604
Vertex figures	[3^8/3], [3,3,8/3]
Coordinates	(0, 0; 1/sqrt[sqrt(8)]) (1/2, (sqrt(2)-1)/2; 1/sqrt[sqrt(8)]-1/sqrt[sqrt(2)]) & all permutations and all changes of sign within first 2 coords
Colonel of regiment	(is itself locally convex)
Dihedral angles	between {3} and {8/3}: arccos[(2-sqrt(2))/3] = 78.739962° between {3} and {3}: arccos[(sqrt(2)-1)/3] = 52.448397°
Face vector	9, 16, 9
Confer	general pyramids: n/d-py

Incidence matrix according toDynkin symbol

ox8/3oo&#x   → height = 1/sqrt[sqrt(2)] = 0.840896(pt|| {8/3})tip  o.   o.    |1 * | 8 0 | 8 0base .o   .o    | * 8 | 1 2 | 2 1----------------+-----+-----+----lace oo8/3oo&#x | 1 1 | 8 * | 2 0base .x   ..    | 0 2 | * 8 | 1 1----------------+-----+-----+----coat ox   ..&#x | 1 2 | 2 1 | 8 *base .x8/3.o    | 0 8 | 0 8 | *1

ox4/3ox&#x   → height = 1/sqrt[sqrt(2)] = 0.840896(pt|| {8/3})o.4/3o.    |1 * | 8 0 0 | 8 0 0.o4/3.o    | * 8 | 1 1 1 | 1 1 1-----------+-----+-------+------oo4/3oo&#x | 1 1 | 8 * * | 2 0 0.x   ..    | 0 2 | * 4 * | 1 0 1..   .x    | 0 2 | * * 4 | 0 1 1-----------+-----+-------+------ox   ..&#x | 1 2 | 2 1 0 | 4 * *..   ox&#x | 1 2 | 2 0 1 | * 4 *.x4/3.x    | 0 8 | 0 4 4 | * *1

top of page

[8]ページ先頭