| Acronym | ... |
| Name | tetracontadisdiminished ex |
| Circumradius | (1+sqrt(5))/2 = 1.618034 |
|
Lace city in approx. ASCII-art |
o5o o5o
o5x
o5o o5o
f5o
o5f o5f
o5x o5x
x5x
x5o x5o
f5o f5o
o5f
o5o o5o
x5o
o5o o5o
| | | | +-- ike
| | | +-------------- f-ike
| | +--------------------- id
| +---------------------------- f-ike
+---------------------------------------- ike
|
x3o o3f f3o o3x
with
F=ff=f+x
f3o o3F F3o o3f
o3x x3f F3o f3f o3F f3x x3o - id
f3o o3F F3o o3f - f-ike
x3o o3f f3o o3x - ike
\
+---------------------- teddi
| |
| General of army | (is itself convex) |
| Colonel of regiment | (is itself locally convex) |
| Face vector | 78, 276, 300, 102 |
| Confer |
|
This polychoron is obtained from ex by chopping off several ikepies. Two of these are antipodal, the others are situated at two parallel layers of 20 each. These cut off vertices then are situated pairwise at neighbouring ones within each layer, respectively at one but neighbouring ones wrt. the polar ones. Therefore the to be introduced ikes within each layer of 20 would pairwise intersect, diminishing those into teddis, while the polar ones remain undiminished. Thus from all the former 600 tets of ex here only the 60 equatorial ones survive.
Incidence matrix according to Dynkin symbol
xfofx3ooxoo5ooooo&#xt → height(1,2) = height(4,5) = (1+sqrt(5))/4 = 0.809017
height(2,3) = height(3,4) = 1/2
o....3o....5o.... & | 24 * * | 5 1 0 0 0 | 5 5 0 0 0 | 1 5 0
.o...3.o...5.o... & | * 24 * | 0 1 5 1 0 | 0 5 5 5 0 | 0 5 5
..o..3..o..5..o.. | * * 30 | 0 0 4 0 4 | 0 2 8 2 2 | 0 4 4
------------------------+----------+-----------------+-----------------+--------
x.... ..... ..... & | 2 0 0 | 60 * * * * | 2 1 0 0 0 | 1 2 0
oo...3oo...5oo...&#x & | 1 1 0 | * 24 * * * | 0 5 0 0 0 | 0 5 0
.oo..3.oo..5.oo..&#x & | 0 1 1 | * * 120 * * | 0 1 2 1 0 | 0 2 2
.o.o.3.o.o.5.o.o.&#x | 0 2 0 | * * * 12 * | 0 0 0 5 0 | 0 0 5
..... ..x.. ..... | 0 0 2 | * * * * 60 | 0 0 2 0 1 | 0 2 1
------------------------+----------+-----------------+-----------------+--------
x....3o.... ..... & | 3 0 0 | 3 0 0 0 0 | 40 * * * * | 1 1 0
xfo.. ..... .....&#xt & | 2 2 1 | 1 2 2 0 0 | * 60 * * * | 0 2 0
..... .ox.. .....&#x & | 0 1 2 | 0 0 2 0 1 | * * 120 * * | 0 1 1
.ooo.3.ooo.5.ooo.&#x | 0 2 1 | 0 0 2 1 0 | * * * 60 * | 0 0 2
..o..3..x.. ..... | 0 0 3 | 0 0 0 0 3 | * * * * 20 | 0 2 0
------------------------+----------+-----------------+-----------------+--------
x....3o....5o.... & ♦ 12 0 0 | 30 0 0 0 0 | 20 0 0 0 0 | 2 * *
xfo..3oox.. .....&#xt & ♦ 3 3 3 | 3 3 6 0 3 | 1 3 3 0 1 | * 40 *
..... .oxo. .....&#x ♦ 0 2 2 | 0 0 4 1 1 | 0 0 2 2 0 | * * 60
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