Movatterモバイル変換

Acronym	squap
TOCID symbol	(4)Q
Name	square antiprism
VRML	⭳©
Circumradius	sqrt((4+sqrt(2))/8) = 0.822664
Vertex figure	[33,4]
Snub derivation / VRML	⭳
Coordinates	(1/2, 1/2, 1/sqrt(sqrt(2)))           & all changes of sign in first 2 coords (top square) (0, 1/sqrt(2), 0)           & all permutations in first 2 coords, all changes of sign in first 2 coords (bottom square)
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex)
Dihedral angles (at margins)	between {3} and {3}:   arccos[(1-2 sqrt(2))/3] = 127.551603° between {3} and {4}:   arccos[(1-sqrt(2))/sqrt(3)] = 103.836160°
Face vector	8, 16, 10
Confer	more general: n-ap  n/2-ap  n/d-ap   variations: xo4ox&#q   compounds: gassic  gidsac   general polytopal classes: segmentohedra  fundamental lace prisms
External links

Incidence matrix according toDynkin symbol

s2s4sdemi( . . . ) |8 | 1 1 2 | 1 3--------------+---+-------+----      s2s .♦ 2 | 4 * * | 0 2      s 2 s♦ 2 | * 4 * | 0 2sefa( . s4s ) | 2 | * * 8 | 1 1--------------+---+-------+----      . s4s♦ 4 | 0 0 4 | 2 *sefa( s2s4s ) | 3 | 1 1 1 | * 8starting figure:x x4x

s2s8odemi( . . . ) |8 | 2 2 | 1 3--------------+---+-----+----      s2s .♦ 2 | 8 * | 0 2sefa( . s8o ) | 2 | * 8 | 1 1--------------+---+-----+----      . s8o♦ 4 | 0 4 | 2 *sefa( s2s8o ) | 3 | 2 1 | * 8starting figure:x x8o

xo4ox&#x   → height = 1/sqrt(sqrt(2)) = 0.840896({4}|| dual {4})o.4o.    | 4 * | 2 2 0 | 1 2 1 0.o4.o    | * 4 | 0 2 2 | 0 1 2 1---------+-----+-------+--------x. ..    | 2 0 | 4 * * | 1 1 0 0oo4oo&#x | 1 1 | * 8 * | 0 1 1 0.. .x    | 0 2 | * * 4 | 0 0 1 1---------+-----+-------+--------x.4o.    | 4 0 | 4 0 0 |1 * * *xo ..&#x | 2 1 | 1 2 0 | * 4 * *.. ox&#x | 1 2 | 0 2 1 | * * 4 *.o4.x    | 0 4 | 0 0 4 | * * *1