Acronym | ... |
Name |
x q4o, variation of cube |
Circumradius | sqrt(5)/2 = 1.118034 |
Lace city in approx. ASCII-art |
q q q q |
x x x x | |
o u o o u o | |
Volume | 2 |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Dihedral angles |
|
Face vector | 8, 12, 6 |
Confer |
using edge sizes x = 1 and q = sqrt(2) = 1.414214
Incidence matrix according to Dynkin symbol
x q4o . . . | 8 | 1 2 | 2 1 ------+---+-----+---- x . . | 2 | 4 * | 2 0 . q . | 2 | * 8 | 1 1 ------+---+-----+---- x q . | 4 | 2 2 | 4 * . q4o | 4 | 0 4 | * 2
x q q . . . | 8 | 1 1 1 | 1 1 1 ------+---+-------+------ x . . | 2 | 4 * * | 1 1 0 . q . | 2 | * 4 * | 1 0 1 . . q | 2 | * * 4 | 0 1 1 ------+---+-------+------ x q . | 4 | 2 2 0 | 2 * * x . q | 4 | 2 0 2 | * 2 * . q q | 4 | 0 2 2 | * * 2
qq4oo&#x → height = 1
(q-{4} || q-{4})
o.4o. | 4 * | 2 1 0 | 1 2 0
.o4.o | * 4 | 0 1 2 | 0 2 1
---------+-----+-------+------
q. .. | 2 0 | 4 * * | 1 1 0
oo4oo&#x | 1 1 | * 4 * | 0 2 0
.q .. | 0 2 | * * 4 | 0 1 1
---------+-----+-------+------
q.4o. | 4 0 | 4 0 0 | 1 * *
qq ..&#x | 2 2 | 1 2 1 | * 4 *
.q4.o | 0 4 | 0 0 4 | * * 1
qq qq&#x → height = 1
(q-{4} || q-{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
---------+-----+-----------+--------
q. .. | 2 0 | 2 * * * * | 1 1 0 0
.. q. | 2 0 | * 2 * * * | 1 0 1 0
oo oo&#x | 1 1 | * * 4 * * | 0 1 1 0
.q .. | 0 2 | * * * 2 * | 0 1 0 1
.. .q | 0 2 | * * * * 2 | 0 0 1 1
---------+-----+-----------+--------
q. q. | 4 0 | 2 2 0 0 0 | 1 * * *
qq ..&#x | 2 2 | 1 0 2 1 0 | * 2 * *
.. qq&#x | 2 2 | 0 1 2 0 1 | * * 2 *
.q .q | 0 4 | 0 0 0 2 2 | * * * 1
xx qq&#q → height = sqrt(2) = 1.41214
((x,q)-{4} || (x,q)-{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
.. q. | 2 0 | * 2 * * * | 1 0 1 0
oo oo&#q | 1 1 | * * 4 * * | 0 1 1 0
.x .. | 0 2 | * * * 2 * | 0 1 0 1
.. .q | 0 2 | * * * * 2 | 0 0 1 1
---------+-----+-----------+--------
x. q. | 4 0 | 2 2 0 0 0 | 1 * * *
xx ..&#q | 2 2 | 1 0 2 1 0 | * 2 * *
.. qq&#q | 2 2 | 0 1 2 0 1 | * * 2 *
.x .q | 0 4 | 0 0 0 2 2 | * * * 1
xxx ouo&#qt → both heights = 1 (line || pseudo (x,q)-{4} || 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 ------------+-------+-----------+------ x.. ... | 2 0 0 | 1 * * * * | 2 0 0 oo. oo.&#q | 1 1 0 | * 4 * * * | 1 1 0 .x. ... | 0 2 0 | * * 2 * * | 1 0 1 .oo .oo&#q | 0 1 1 | * * * 4 * | 0 1 1 ..x ... | 0 0 2 | * * * * 1 | 0 0 2 ------------+-------+-----------+------ xx. ...&#q | 2 2 0 | 1 2 1 0 0 | 2 * * ... ouo&#qt | 1 2 1 | 0 2 0 2 0 | * 2 * .xx ...&#q | 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 ---------------+-----+-------+---- x.. ... & | 2 0 | 2 * * | 2 0 oo. oo.&#q & | 1 1 | * 8 * | 1 1 .x. ... | 0 2 | * * 2 | 2 0 ---------------+-----+-------+---- xx. ...&#q & | 2 2 | 1 2 1 | 4 * ... ouo&#qt | 2 2 | 0 4 0 | * 2
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