Acronym teddi, J63
Name tridiminished icosahedron,
vertex figure of sadi
 
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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°
Confer
related Johnson solids:
peppy   gyepip   mibdi   auteddi  
uniform relative:
ike  
related CRF:
bidex  
External
links
wikipedia   mathworld   quickfur

As abstract polytope teddi is isomorph to targi, thereby interchanging the roles of pentagons and pentagrams.


Incidence matrix according to Dynkin symbol

xfo3oox&#xt   → height(1,2) = sqrt[(3+sqrt(5))/6] = 0.934172
                height(2,3) = 1/sqrt(3) = 0.577350
({3} || pseudo f-{3} || dual {3})

o..3o..     | 3 * * | 2 1 0 0 | 1 2 0 0
.o.3.o.     | * 3 * | 0 1 2 0 | 0 2 1 0
..o3..o     | * * 3 | 0 0 2 2 | 0 1 2 1
------------+-------+---------+--------
x.. ...     | 2 0 0 | 3 * * * | 1 1 0 0
oo.3oo.&#x  | 1 1 0 | * 3 * * | 0 2 0 0  wedges
.oo3.oo&#x  | 0 1 1 | * * 6 * | 0 1 1 0
... ..x     | 0 0 2 | * * * 3 | 0 0 1 1
------------+-------+---------+--------
x..3o..     | 3 0 0 | 3 0 0 0 | 1 * * *
xfo ...&#xt | 2 2 1 | 1 2 2 0 | * 3 * *  
... .ox&#x  | 0 1 2 | 0 0 2 1 | * * 3 *
..o3..x     | 0 0 3 | 0 0 0 3 | * * * 1

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