
116 Polytope Projects
The number of ways to pass from a crystal to another is indicated if
this is different from one. Observe that the shape and the associated indices
vary.
Figure 6.6 illustrates the commutation conditions for 3-cores.
Fig. 6.5 Dual graded graphs for 3-cores.
Fig. 6.6 Commutation conditions for 3-cores.
0
ˆ
0
ˆ
a
b
0
2
0 1
0
0
1
2
0 1
2
0
2
10 1 2 2
0 1
1
2
0 1
2
0
0
(2)(2)
U( ) D ( )
DU( )
UD(
DU( ) UD ( )
0 1
2
0 1 0
0 1
2
0 1
2
0
0 1
)
0 1
2
0
0 1 0 1 0 1
0 1 2
=
=
=
==
-
+
+
6.1.3 Polytopes and Self-Evolvable 3-cores
Structures obtained as superposition of the dual graded structures are
considered as potentially self-evolvable.
Figure 6.7 shows potentially self-evolvable ...