Acronym mibdi, J62
Name metabidiminished icosahedron
 
 © ©
Lace city
in approx. ASCII-art
     o 
   f   
x     x
   f   
     o 
Circumradius sqrt[(5+sqrt(5))/8] = 0.951057
Vertex figures [3,52], [33,5]
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • between {3} and {3}:   arccos(-sqrt(5)/3) = 138.189685°
  • between {3} and {5}:   arccos(-sqrt[(5-2 sqrt(5))/15]) = 100.812317°
  • between {5} and {5}:   arccos(1/sqrt(5)) = 63.434949°
Dual mibkid
Confer
uniform relative:
ike  
related Johnson solids:
gyepip   teddi  
faceting of:
ike  
general polytopal classes:
Johnson solids  
External
links
wikipedia   mathworld   quickfur  

Incidence matrix according to Dynkin symbol

xfox oxfo&#xt   → height(1,2) = (1+sqrt(5))/4 = 0.809017
                  height(2,3) = 1/2
                  height(3,4) = (sqrt(5)-1)/4 = 0.309017
(line || pseudo (f,x)-{4} || pseudo ortho f-line || line)

o... o...     | 2 * * * | 1 2 0 0 0 0 0 | 2 1 0 0 0
.o.. .o..     | * 4 * * | 0 1 1 1 1 0 0 | 1 1 1 1 0
..o. ..o.     | * * 2 * | 0 0 0 2 0 2 0 | 1 0 0 2 1
...o ...o     | * * * 2 | 0 0 0 0 2 2 1 | 0 0 1 2 2
--------------+---------+---------------+----------
x... ....     | 2 0 0 0 | 1 * * * * * * | 2 0 0 0 0  wedge
oo.. oo..&#x  | 1 1 0 0 | * 4 * * * * * | 1 1 0 0 0
.... .x..     | 0 2 0 0 | * * 2 * * * * | 0 1 1 0 0
.oo. .oo.&#x  | 0 1 1 0 | * * * 4 * * * | 1 0 0 1 0
.o.o .o.o&#x  | 0 1 0 1 | * * * * 4 * * | 0 0 1 1 0
..oo ..oo&#x  | 0 0 1 1 | * * * * * 4 * | 0 0 0 1 1
...x ....     | 0 0 0 2 | * * * * * * 1 | 0 0 0 0 2
--------------+---------+---------------+----------
xfo. ....&#xt | 2 2 1 0 | 1 2 0 2 0 0 0 | 2 * * * *
.... ox..&#x  | 1 2 0 0 | 0 2 1 0 0 0 0 | * 2 * * *
.... .x.o&#x  | 0 2 0 1 | 0 0 1 0 2 0 0 | * * 2 * *
.ooo .ooo&#xt | 0 1 1 1 | 0 0 0 1 1 1 0 | * * * 4 *
..ox ....&#x  | 0 0 1 2 | 0 0 0 0 0 2 1 | * * * * 2

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