Acronym | ... |
Name |
w x4o, variation of cube |
Circumradius | sqrt[5+2 sqrt(2)]/2 = 1.398966 |
Lace city in approx. ASCII-art |
x x x x |
Volume | 1+sqrt(2) = 2.414214 |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Dihedral angles |
|
Face vector | 8, 12, 6 |
Confer |
Incidence matrix according to Dynkin symbol
w x4o . . . | 8 | 1 2 | 2 1 ------+---+-----+---- w . . | 2 | 4 * | 2 0 . x . | 2 | * 8 | 1 1 ------+---+-----+---- w x . | 4 | 2 2 | 4 * . x4o | 4 | 0 4 | * 2
w x x . . . | 8 | 1 1 1 | 1 1 1 ------+---+-------+------ w . . | 2 | 4 * * | 1 1 0 . x . | 2 | * 4 * | 1 0 1 . . x | 2 | * * 4 | 0 1 1 ------+---+-------+------ w x . | 4 | 2 2 0 | 2 * * w . x | 4 | 2 0 2 | * 2 * . x x | 4 | 0 2 2 | * * 2
x2s4x demi( . . . ) | 8 | 1 1 1 | 1 1 1 --------------+---+-------+------ demi( x . . ) | 2 | 4 * * | 1 1 0 demi( . . x ) | 2 | * 4 * | 1 0 1 sefa( . s4x ) | 2 | * * 4 | 0 1 1 w --------------+---+-------+------ demi( x . x ) | 4 | 2 2 0 | 2 * * . s4x | 4 | 2 0 2 | * 2 * sefa( x2s4x ) | 4 | 0 2 2 | * * 2 starting figure: x x4x
xx4oo&#w → height = 1+sqrt(2) = 2.414214
({4} || {4})
o.4o. | 4 * | 2 1 0 | 1 2 0
.o4.o | * 4 | 0 1 2 | 0 2 1
---------+-----+-------+------
x. .. | 2 0 | 4 * * | 1 1 0
oo4oo&#w | 1 1 | * 4 * | 0 2 0
.x .. | 0 2 | * * 4 | 0 1 1
---------+-----+-------+------
x.4o. | 4 0 | 4 0 0 | 1 * *
xx ..&#w | 2 2 | 1 2 1 | * 4 *
.x4.o | 0 4 | 0 0 4 | * * 1
xx xx&#w → height = 1+sqrt(2) = 2.414214
({4} || {4})
o. o. | 4 * | 1 1 1 0 0 | 1 1 1 0
.o .o | * 4 | 0 0 1 1 1 | 0 1 1 1
---------+-----+-----------+--------
x. .. | 2 0 | 2 * * * * | 1 1 0 0
.. x. | 2 0 | * 2 * * * | 1 0 1 0
oo oo&#w | 1 1 | * * 4 * * | 0 1 1 0
.x .. | 0 2 | * * * 2 * | 0 1 0 1
.. .x | 0 2 | * * * * 2 | 0 0 1 1
---------+-----+-----------+--------
x. x. | 4 0 | 2 2 0 0 0 | 1 * * *
xx ..&#w | 2 2 | 1 0 2 1 0 | * 2 * *
.. xx&#w | 2 2 | 0 1 2 0 1 | * * 2 *
.x .x | 0 4 | 0 0 0 2 2 | * * * 1
ww xx&#x → height = 1
((w,x)-{4} || (w,x)-{4})
o. o. | 4 * | 1 1 1 0 0 | 1 1 1 0
.o .o | * 4 | 0 0 1 1 1 | 0 1 1 1
---------+-----+-----------+--------
w. .. | 2 0 | 2 * * * * | 1 1 0 0
.. x. | 2 0 | * 2 * * * | 1 0 1 0
oo oo&#x | 1 1 | * * 4 * * | 0 1 1 0
.w .. | 0 2 | * * * 2 * | 0 1 0 1
.. .x | 0 2 | * * * * 2 | 0 0 1 1
---------+-----+-----------+--------
w. x. | 4 0 | 2 2 0 0 0 | 1 * * *
ww ..&#x | 2 2 | 1 0 2 1 0 | * 2 * *
.. xx&#x | 2 2 | 0 1 2 0 1 | * * 2 *
.w .x | 0 4 | 0 0 0 2 2 | * * * 1
www oqo&#xt → both heights = 1/sqrt(2) = 0.707107 (w-line || pseudo (w,q)-{4} || w-line) o.. o.. | 2 * * | 1 2 0 0 0 | 2 1 0 .o. .o. | * 4 * | 0 1 1 1 0 | 1 1 1 ..o ..o | * * 2 | 0 0 0 2 1 | 0 1 2 ------------+-------+-----------+------ w.. ... | 2 0 0 | 1 * * * * | 2 0 0 oo. oo.&#x | 1 1 0 | * 4 * * * | 1 1 0 .w. ... | 0 2 0 | * * 2 * * | 1 0 1 .oo .oo&#x | 0 1 1 | * * * 4 * | 0 1 1 ..w ... | 0 0 2 | * * * * 1 | 0 0 2 ------------+-------+-----------+------ ww. ...&#x | 2 2 0 | 1 2 1 0 0 | 2 * * ... oqo&#xt | 1 2 1 | 0 2 0 2 0 | * 2 * .ww ...&#x | 0 2 2 | 0 0 1 2 1 | * * 2
or o.. o.. & | 4 * | 1 2 0 | 2 1 .o. .o. | * 4 | 0 2 1 | 2 1 ---------------+-----+-------+---- w.. ... & | 2 0 | 2 * * | 2 0 oo. oo.&#x & | 1 1 | * 8 * | 1 1 .w. ... | 0 2 | * * 2 | 2 0 ---------------+-----+-------+---- ww. ...&#x & | 2 2 | 1 2 1 | 4 * ... oqo&#xt | 2 2 | 0 4 0 | * 2
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