Acronym tutut
Name two tut cupolaic blend,
gyrated blend of 2 truncated tetrahedra
 
 ©
Circumradius sqrt(11/8) = 1.172604
Vertex figure [3,62], [3,6,3/2,6/5]/0
Dihedral angles
  • between {3} and {6} (tut edges):   arccos(-1/3) = 109.471221°
  • between {6} and {6}:   arccos(1/3) = 70.528779°
  • between {3} and {6} (at pseaudo {6}):   arccos(7/9) = 38.942441°
Confer
blend-component:
tut  
External
links
mcneill  

As an axial gyrated blend it has a pseudo bottom face. That one is the withdrawn 2{6} of the corresponding composition. By that withdrawel the top base, when considered as a single compound (type A), becomes a membran, as the central part becomes accessible from the outside at both sides, when being considered as 2 coplanar triangles instead (type B) it becomes a Grünbaumian membran: that central region of those 2 coplanar triangles is accessable from both sides. (Mod-2 fillings so would even erase that central bit completely, the hole then would run through.)


Incidence matrix according to Dynkin symbol

2{3} || pseudo u-scaled 2{3} || pseudo {6}   → height(1,2) = height(2,3) = sqrt(2/3) = 0.816497

o..3o..      | 6 * * | 2 1  0 0 | 1 2 0 || 1  [3,62]
.o.3.o.      | * 6 * | 0 1  2 0 | 0 2 1 || 1  [3,62]
..o3..o      | * * 6 | 0 0  2 2 | 0 2 2 || 1  [3,6,3/2,6/5]/0
-------------+-------+----------+-------++--
x.. ...      | 2 0 0 | 6 *  * * | 1 1 0 || 1
oo.3oo.&#x   | 1 1 0 | * 6  * * | 0 2 0 || 1
.oo3.oo&#x   | 0 1 1 | * * 12 * | 0 1 1 || 1
..x ...    & | 0 0 2 | * *  * 6 | 0 1 1 || 1
-------------+-------+----------+-------++--
x..3o..      | 3 0 0 | 3 0  0 0 | 2 * * || 1
xux ...&#xt  | 2 2 2 | 1 2  2 1 | * 6 * || 1
... .ox&#x   | 0 1 2 | 0 0  2 1 | * * 6 || 1

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