Acronym | squacu, J4 |
Name | square cupola |
© © | |
Circumradius | sqrt[5+2 sqrt(2)]/2 = 1.398966 |
Vertex figures | [3,43], [3,4,8] |
Lace city in approx. ASCII-art |
o q o x w w x |
x x x w w x | |
Volume | [3+2 sqrt(2)]/3 = 1.942809 |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Dihedral angles |
|
Face vector | 12, 20, 10 |
Confer |
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External links |
The square cupola is an edge-faceting of the small rhombicuboctahedron (sirco).
Incidence matrix according to Dynkin symbol
xx4ox&#x → height = 1/sqrt(2) = 0.707107
({4} || {8})
o.4o. | 4 * | 2 2 0 0 | 1 2 1 0
.o4.o | * 8 | 0 1 1 1 | 0 1 1 1
---------+-----+---------+--------
x. .. | 2 0 | 4 * * * | 1 1 0 0
oo4oo&#x | 1 1 | * 8 * * | 0 1 1 0
.x .. | 0 2 | * * 4 * | 0 1 0 1
.. .x | 0 2 | * * * 4 | 0 0 1 1
---------+-----+---------+--------
x.4o. | 4 0 | 4 0 0 0 | 1 * * *
xx ..&#x | 2 2 | 1 2 1 0 | * 4 * *
.. ox&#x | 1 2 | 0 2 0 1 | * * 4 *
.x4.x | 0 8 | 0 0 4 4 | * * * 1
so8ox&#x → height = 1/sqrt(2) = 0.707107
({4} || {8})
demi( o.8o. ) | 4 * | 2 2 0 0 | 1 1 0 2
.o8.o | * 8 | 0 1 1 1 | 0 1 1 1
-----------------+-----+---------+--------
sefa( s.8o. ) | 2 0 | 4 * * * | 1 0 0 1
demi( oo8oo&#x ) | 1 1 | * 8 * * | 0 1 0 1
demi( .. .x ) | 0 2 | * * 4 * | 0 0 1 1
demi( .. .x ) | 0 2 | * * * 4 | 0 1 1 0
-----------------+-----+---------+--------
s.8o. | 4 0 | 4 0 0 0 | 1 * * *
demi( .. ox&#x ) | 1 2 | 0 2 0 1 | * 4 * *
.o8.x | 0 8 | 0 0 4 4 | * * 1 *
sefa( so8ox&#x ) | 2 2 | 1 2 1 0 | * * * 4
starting figure: xo8ox&#x
oqxw qowx&#xr → height(1,2) = height(3,4) = 0 height(1,3) = height(2,4) = sqrt(3)/2 = 0.866025 o... o... | 2 * * * | 2 2 0 0 0 0 | 1 1 2 0 0 .o.. .o.. | * 2 * * | 2 0 2 0 0 0 | 1 0 2 1 0 ..o. ..o. | * * 4 * | 0 1 0 1 1 0 | 0 1 1 0 1 ...o ...o | * * * 4 | 0 0 1 0 1 1 | 0 0 1 1 1 --------------+---------+-------------+---------- oo.. oo..&#x | 1 1 0 0 | 4 * * * * * | 1 0 1 0 0 o.o. o.o.&#x | 1 0 1 0 | * 4 * * * * | 0 1 1 0 0 .o.o .o.o&#x | 0 1 0 1 | * * 4 * * * | 0 0 1 1 0 ..x. .... | 0 0 2 0 | * * * 2 * * | 0 1 0 0 1 ..oo ..oo&#x | 0 0 1 1 | * * * * 4 * | 0 0 1 0 1 .... ...x | 0 0 0 2 | * * * * * 2 | 0 0 0 1 1 --------------+---------+-------------+---------- oq.. qo..&#zx | 2 2 0 0 | 4 0 0 0 0 0 | 1 * * * * o.x. ....&#x | 1 0 2 0 | 0 2 0 1 0 0 | * 2 * * * oooo oooo&#xr | 1 1 1 1 | 1 1 1 0 1 0 | * * 4 * * cycle: (ABDC) .... .o.x&#x | 0 1 0 2 | 0 0 2 0 0 1 | * * * 2 * ..xw ..wx&#zx | 0 0 4 4 | 0 0 0 2 4 2 | * * * * 1
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