# Two more classes with exacly 4 symmetries done - most 20f* are antisymmetric

Submitted by Herbert Kociemba on Thu, 03/30/2006 - 12:09.

I finished the analysis of two more classes with 4 symmetries now. The computation took more than two weeks. All can be solved within 20 moves.

The definition of the classes D2(edge) and C2v(b) are explained on this page. Here you also can get some more information about these and other classes.

What is interesting, that from the 12 20f*-cubes of the class D2 (edge), 10 also have antisymmetry and from the 94 20f*-cubes of the class C2v(b) 92 also are antisymmetric.

From all cubes in D2(edge), only 44% have antisymmetry, from all cubes in C2v(b) it are 53%. Is there an explanation for the exceptional high number of antisymmetric cubes in the 20f* cases?

The definition of the classes D2(edge) and C2v(b) are explained on this page. Here you also can get some more information about these and other classes.

What is interesting, that from the 12 20f*-cubes of the class D2 (edge), 10 also have antisymmetry and from the 94 20f*-cubes of the class C2v(b) 92 also are antisymmetric.

From all cubes in D2(edge), only 44% have antisymmetry, from all cubes in C2v(b) it are 53%. Is there an explanation for the exceptional high number of antisymmetric cubes in the 20f* cases?