Optimal cross

[Zarxrax]

I've seen the stats on optimal move counts for solving a cross, but my question is, do these existing stats take into account all possible moves, such as slice turns?
If not, can someone calculate new stats without treating slices as second class citizens?

 

[Rune]

I've seen the stats on optimal move counts for solving a cross, but my question is, do these existing stats take into account all possible moves, such as slice turns?
If not, can someone calculate new stats without treating slices as second class citizens?

Hi Rune

Assuming that you want the cross to have a definite orientation (so
only one "solved" position), I find

depth: # positions
0: 1
1: 21
2: 275
3: 2815
4: 21136
5: 88454
6: 76592
7: 786

in SHTM.

Average is 5.27, compared with 5.81 (HTM). I used Jaap's solver for
this.

Mike

 

[Zarxrax]

Nice, so every position is reachable in only 7 moves!

 

[Rune]

Nice, so every position is reachable in only 7 moves!

Yes!