What is God's number for a 3-gen scramble?

[iguana]

If you were to scramble a 3x3 with only R, U and F moves, and were only allowed to use R, U and F moves to solve it, what would be the maximum amount of moves that an optimal solution would take?

 

[Cubing_Grandson]

Idk how to find God's number but using only RUF moves that would make 3 edges and 1 corner Unable to move. So the equation for possible combinations is:
(9! × 2⁹ × 7! × 3⁷) ÷ 12
= 9,988,315,545,600

 

[Christopher Mowla]

what would be the maximum amount of moves that an optimal solution would take?

It's either 21 or 22. (See Lower bound for the diameter of the 3-gen subgroup <U,F,R>. Specifically, the posts by @Bruce MacKenzie and @rokicki.)

Idk how to find God's number but using only RUF moves that would make 3 edges and 1 corner Unable to move. So the equation for possible combinations is:
(9! × 2⁹ × 7! × 3⁷) ÷ 12
= 9,988,315,545,600

On Jaap's Cube Subgroups page, U, R, F = (7!*3^7/3) * (9!*2^9/2) / 2 = 170 659 735 142 400.

 

[Bruce MacKenzie]

Back in 2010 I did some work on the three face group and reported my results on the Cube Lovers Forum. Here's a LINK to that post.

The above gives results in the qtm, for the ftm see this LINK

 

[abunickabhi]

Back in 2010 I did some work on the three face group and reported my results on the Cube Lovers Forum. Here's a LINK to that post.

The above gives results in the qtm, for the ftm see this LINK

Both the links shared by you give the following error

Connection to 69.165.220.244 failed.

 

[iguana]

Both the links shared by you give the following error

Connection to 69.165.220.244 failed.

for me they work fine, it just says "not secure"

 

[abunickabhi]

for me they work fine, it just says "not secure"

The links work for me now when I make it secure,

http://cubezzz.dyndns.org/drupal/?q=node/view/516

This is the link posted in the forum post which points to RUF Group Enumeration, which does not work yo.

 

[Bruce MacKenzie]

I don't know what the problem is. If you want you can google "Domain of the Cube Forum" for a link to the site. Then, search for RUF group. There's a lot of neat stuff on the forum.

 

[Bruce MacKenzie]

The links work for me now when I make it secure,

http://cubezzz.dyndns.org/drupal/?q=node/view/516

This is the link posted in the forum post which points to RUF Group Enumeration, which does not work yo.

try http://forum.cubeman.org/?q=node/view/516