xfox oxfo3ooox&#xt

Acronym	...
Name	trigonal mibdi-laced wedge
	centered at top line (layer a): © centered at bottom trip (layer d): ©
Circumradius	1
Lace city in approx. ASCII-art	o3o o3o a x3o x3o b f3o o3x c o3x d
Coordinates	(1/2, 0, 0, -3/2h) & all changes of sign (layer `x o3o` in lace tower description resp. top one in lace city) (f/2, 1/2h, 1/2, (f-2)/2h) & all changes of sign in 1^st and 3^rd coord. (f/2, -1/h, 0, (f-2)/2h) & all changes of sign in 1^st coord. (layer `f x3o` in lace tower description resp. medial one in lace city) (0, f/2h, f/2, (f-1)/h) & all changes of sign in 3^rd coord. (0, -f/h, 0, (f-1)/h) (layer `o f3o` in lace tower description resp. lower central one in lace city) (1/2, 1/h, 0, (2f-1)/2h) & all changes of sign in 1^st coord. (1/2, -1/2h, 1/2, (2f-1)/2h) & all changes of sign in 1^st and 3^rd coord. (layer `x o3x` in lace tower description resp. bottom one in lace city) where f=(1+sqrt(5))/2, h=sqrt(3) & and circumcenter is at origin
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex)
Face vector	17, 52, 52, 17
Confer	related CRFs: xofox ooxfo3oxoox&#xt (tri-augmented 3-mibdi-wedge) mono-augmented 3-mibdi-wedge xfoxo oxfox5ooofx&#xt tetu related segmentochora: {3}\|\|teddi

The special edge with 3 incident mibdies of this polychoron (each being adjoined with their special wedge edge) also allows for a 5-fold counterpart: xfoxo oxfox5ooofx&#xt. (A 4-fold version does not exist, so.)

Any mibdi here allows for an independant augmentation by an appropriate pyramid. The corresponding triaugmentation then is xofox ooxfo3oxoox&#xt.

In the above lace city the lower diagonal from the left b via the medial c towards the right d provides a teddi sectioning facet. If dissected at that hyperplane the polychoron falls into {3}||teddi (at the lower left) and tetu (at the upper right).

Incidence matrix according to Dynkin symbol

xfox oxfo3ooox&#xt   → height(1,2) = sqrt[(7+3 sqrt(5))/24] = 0.755761
                       height(2,3) = sqrt[(3+sqrt(5))/24] = 0.467086
                       height(3,4) = sqrt(3)/6 = 1/sqrt(12) = 0.288675

o... o...3o...     | 2 * * * | 1 3 0 0  0  0 0 0 | 3 3 0  0 0 0 0 0 0 0 | 3 1 0 0 0 0	a
.o.. .o..3.o..     | * 6 * * | 0 1 2 1  2  0 0 0 | 1 2 1  2 2 1 0 0 0 0 | 2 1 1 1 0 0	b
..o. ..o.3..o.     | * * 3 * | 0 0 0 2  0  4 0 0 | 1 0 0  4 0 0 2 2 0 0 | 2 0 0 2 1 0	c
...o ...o3...o     | * * * 6 | 0 0 0 0  2  2 1 2 | 0 0 0  2 1 2 2 2 2 1 | 1 0 1 2 2 1	d
-------------------+---------+-------------------+----------------------+------------
x... .... ....     | 2 0 0 0 | 1 * * *  *  * * * | 3 0 0  0 0 0 0 0 0 0 | 3 0 0 0 0 0
oo.. oo..3oo..&#x  | 1 1 0 0 | * 6 * *  *  * * * | 1 2 0  0 0 0 0 0 0 0 | 2 1 0 0 0 0
.... .x.. ....     | 0 2 0 0 | * * 6 *  *  * * * | 0 1 1  0 1 0 0 0 0 0 | 1 1 1 0 0 0
.oo. .oo.3.oo.&#x  | 0 1 1 0 | * * * 6  *  * * * | 1 0 0  2 0 0 0 0 0 0 | 2 0 0 1 0 0
.o.o .o.o3.o.o&#x  | 0 1 0 1 | * * * * 12  * * * | 0 0 0  1 1 1 0 0 0 0 | 1 0 1 1 0 0
..oo ..oo3..oo&#x  | 0 0 1 1 | * * * *  * 12 * * | 0 0 0  1 0 0 1 1 0 0 | 1 0 0 1 1 0
...x .... ....     | 0 0 0 2 | * * * *  *  * 3 * | 0 0 0  0 0 0 2 0 2 0 | 1 0 0 0 2 1
.... .... ...x     | 0 0 0 2 | * * * *  *  * * 6 | 0 0 0  0 0 1 0 1 1 1 | 0 0 1 1 1 1
-------------------+---------+-------------------+----------------------+------------
xfo. .... ....&#xt | 2 2 1 0 | 1 2 0 2  0  0 0 0 | 3 * *  * * * * * * * | 2 0 0 0 0 0
.... ox.. ....&#x  | 1 2 0 0 | 0 2 1 0  0  0 0 0 | * 6 *  * * * * * * * | 1 1 0 0 0 0
.... .x..3.o..     | 0 3 0 0 | 0 0 3 0  0  0 0 0 | * * 2  * * * * * * * | 0 1 1 0 0 0
.ooo .ooo3.ooo&#x  | 0 1 1 1 | 0 0 0 1  1  1 0 0 | * * * 12 * * * * * * | 1 0 0 1 0 0
.... .x.o ....&#x  | 0 2 0 1 | 0 0 1 0  2  0 0 0 | * * *  * 6 * * * * * | 1 0 1 0 0 0
.... .... .o.x&#x  | 0 1 0 2 | 0 0 0 0  2  0 0 1 | * * *  * * 6 * * * * | 0 0 1 1 0 0
..ox .... ....&#x  | 0 0 1 2 | 0 0 0 0  0  2 1 0 | * * *  * * * 6 * * * | 1 0 0 0 1 0
.... .... ..ox&#x  | 0 0 1 2 | 0 0 0 0  0  2 0 1 | * * *  * * * * 6 * * | 0 0 0 1 1 0
...x .... ...x     | 0 0 0 4 | 0 0 0 0  0  0 2 2 | * * *  * * * * * 3 * | 0 0 0 0 1 1
.... ...o3...x     | 0 0 0 3 | 0 0 0 0  0  0 0 3 | * * *  * * * * * * 2 | 0 0 1 0 0 1
-------------------+---------+-------------------+----------------------+------------
xfox oxfo ....&#xt ♦ 2 4 2 2 | 1 4 2 4  4  4 1 0 | 2 2 0  4 2 0 2 0 0 0 | 3 * * * * *
.... ox..3oo..&#x  ♦ 1 3 0 0 | 0 3 3 0  0  0 0 0 | 0 3 1  0 0 0 0 0 0 0 | * 2 * * * *
.... .x.o3.o.x&#x  ♦ 0 3 0 3 | 0 0 3 0  6  0 0 3 | 0 0 1  0 3 3 0 0 0 1 | * * 2 * * *
.... .... .oox&#x  ♦ 0 1 1 2 | 0 0 0 1  2  2 0 1 | 0 0 0  2 0 1 0 1 0 0 | * * * 6 * *
..ox .... ..ox&#x  ♦ 0 0 1 4 | 0 0 0 0  0  4 2 2 | 0 0 0  0 0 0 2 2 1 0 | * * * * 3 *
...x ...o3...x     ♦ 0 0 0 6 | 0 0 0 0  0  0 3 6 | 0 0 0  0 0 0 0 0 3 2 | * * * * * 1

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