Please see Peter Renzland's

Please see

[Google does not index the Standard Description (PDF). Will have to make HTML instead!]

The Verbose Description avoids formal notation, and focusses on detailed instruction rather than conceptual understanding.

The Brief Description describes the solution method to thinkers in 50 words.

There is also the introductory page that lists aspects of elegance, and I may make a short video or two).

I found that it was impossible to have just one description. A concise description is elegant, but it is inaccessible to people who are unfamiliar with compact notation. A description in plain, clear English, has its own elegance. Different things can be left unsaid, depending on the reader. For some readers it is enough to say "The solution method uses 3 transforms: Corner-Swap, Corner-Twist, and Edge-Swap, which are: ...". Some readers can do one face intuitively, but others need to be shown how. Some people don't know that parentheses are used for grouping, in maths, rather than for (optional) commentary. Some people hate reading unnecessary verbosity, other people want everything stated, repeated, and explained in many different ways. Some people won't read at all. Some just read a few words here and there, imagining the rest.

This is a leisurely method, for elegance, not speed.

If we look at each of the 20 moveable cubies for 10 seconds, then move it home in 10 turns, one turn per second,

it will take 6 to 7 minutes to solve the cube at this leisurely pace.

(The total time being about 1 turn every 2 seconds, for about 170 turns.)

Step 1: 10 turns <1 minute Step 2: 15 turns <1 minute (need to apply at most once) Step 3: 24 turns <1 minute (need to apply 1, 2, or 3 times) Step 4: 120 turns <4 minutes Total: 170 turns <6 minutes.

If I were to raise the cube to be near my nose, raising my left arm and twisting my left wrist toward me, the Back face would become the Up face, making Up and Right turns easy.

I just made a special Plumb Rule Star Wars Edition

The general principle is always: Place the cubies to be operated on into the places where the Transforms need them to be, apply the transforms, invert (undo in reverse order) the placing moves. When remembering the placing moves, I say the Face-

Being right-handed, I decided that I was interested in transforms that only involved R and B turns.

My solution method first places the corners, using corner-swap, then orients the corners, using corner-twist, then places all the edges properly, using edge-swap.

It's possible to use 2 transforms, or even 1, instead of 3. But that would make the Method much more difficult and inelegant. It's possible to use shorter transform, but they would be more complex. It's possible to use more powerful transforms (with multiple simultaneous effects, but that would be less elegant and easy than the simple effects of the 3 transforms.

The Corner Swap Transform can be applied twice to twist 2 corners. Therefore, the 2 transforms -- Corner Swap and Edge Pair Swap -- would be sufficient.

However, the Corner Swap Transform is difficult to apply for twists, which the solution method less elegant.

My original hope was to construct a solution method from 2 transforms: A 4-turn Corner Pair Swap (which can also Twist 2 corner pairs), and a 6-turn Edge Pair Swap (which can also Flip an edge pair). R U R- U- and R2D2 * 3. Unfortunately the Corner Pair Swap Transform is not suffient.

1. Number of transforms 2. Complexity of transforms 3. Complexity of description 4. Required knowledge (memorization) 5. Required judgement (intelligence)Thus, the extreme method "Just use Q-turns" is trivially simple on 1-4, but impossibly complex on 5. The extreme method "Just look up the 20-turn solution sequence in the list of 43 quintillion states" is trivially simple on 3 and 5, very complex on 2, and impossibly complex on 1 and 4. AFAIK, my method scores lowest of published methods on 1-4, and low (but not lowest) on 5. Possible challenges when doing the edges: 1. Keeping Centres aligned; 2. picking a suitable helper-pair; 3. remembering the inverse of the line-up sequence.

## Video Outline## Video 1. Rubik's Cube Concepts and Terminology. (2 min)6 Faces, 8 Corners, 12 Edges; Face Positions / Colours. 20 Cubies. Cubicle. Facelet.Q-turn. Half-turn. Un-turn. Cube-turn. Edge-flip, Corner-twist. ## Video 2. Four-step Solution Method Overview. (2 min)Do White Corners, Place Yellow Corners, Orient Yellow Corners, Do Edges.
If we know how to swap 2 corners, we can put any corner where it needs to be. If we know how to twist corners, we can orient all the corners. If we can swap 2 edges, we can send all the edges home. ## Video 3. The 3 Transforms: Corner-Swap, Corner-Twist, Edge-Swap. (2 min)Corner-Swap:
Swaps the Left-Down corners. Hold these two corners with thumb and index fingers, and
do: URUR URUR URUR URU.
Corner-Twist:
Twists the 3 Back corners, other than Up-Right-Back, right: ULDR ULDR ULDR.
Edge-Swap:
Swaps the Edge-Pair Up-Front and Up-Back. It also swaps Right-Front and Right-Back:
UURR UURR UURR.
## Video 4. Solving the 8 Corners. (Steps 1, 2, 3) (2 min)Step 1: Do the White Corners intuitively.
Step 2: Place the Yellow Corners (without orienting them), using the Corner-Swap Transform.
Step 3: Orient the Yellow Corners, using the Corner-Twist Transform.
Now all the corners are done.
## Video 5. Solving the 12 Edges. (Step 4) (3 min)Step 4: Do the Edges, without disturbing the corners, using the Edge-Swap Transform.
(I'll probably just make 2 videos: 1-4, and 5.) | |

[Please read the PDF web page instead of the following text, which is here only because Google does not search/index PDF web pages.]

1. Two Corner Swap: UR *7.5 {disturbs edges, centres}

2. Two Corner Twist: F R' F 'U' R' U L U' R U F R F 'L'

3. Two Edge Swap: U2R2 *3 {also swaps a helper edge-pair}

4. Two Edge Flip: U F' U F R B L U' F U' F' L' B' R'

1. Two Corner Swap: UR *7.5

2. Three Corner Twist: U[r] *12

3. Two Edge Swap (& Flip): U2R2 *3

1. Two Corner Swap (& Twist): F2U2[r] UR *7.5 B2R2

2. Two Edge Swap (& Flip): U2R2 *3

[ peter [at] dancing [dot] org ]