# Message #154

From: David Vanderschel <DvdS@Austin.RR.com>

Subject: Rubik and group theory

Date: Thu, 26 May 2005 14:55:23 -0500

Regarding Liat’s "good books", on Wednesday, May 25,

<temaotheos@mail.ru> wished:

> I’d like to look through that good books, if they

> connect to Rubiks cube. Could you provide a link,

> preferably, as electronic document.

> …

> In Maple math package there is a worksheet for

> 2x2x2 cube "Group theory via Rubiks Cube"

> http://www.maplesoft.com/applications/app_center_view.aspx?AID=11

> Unfortunately, no visualization is implied.

The fellow who wrote the MAPLE package, one

Prof. W. D. Joyner, has his own Web page on

Permutation Puzzles in general:

```
http://web.usna.navy.mil/~wdj/rubik.html
```

From there is a link to his lecture notes for a course

he has taught in group theory which is actually based

on Rubik’s Cube:

```
http://web.usna.navy.mil/~wdj/rubik_nts.htm
```

Surely this must be the comprehensive reference on the

subject. Those notes will tell almost anyone more

than they really want to know about the relationship

of Rubik’s Cube to group theory. The notes have been

published in book form, but you can still access the

material effectively enough from the Web. Though the

course goes deeply into Rubik, it is taught without

assuming that the student has prior knowledge of group

theory. The concepts you can learn from

Prof. Joyner’s course extend to the 4D puzzle as well.

Regards,

David V.