Cube layout
Solved | Jumble

U' Single face
L' F' R' B' L F R B
D' D

U' Whole cube
L' F' R' B' L F R B
D' D
Left Front Right Back
Bryan's sequences
Kick L R
6 to cross R only
3 corners L R
Down Solve the cube

Bryan's sequences

The sequences I have here are those I use to solve a cube.

I got my cube when I first went to university back in October 1980. It took me about a week to come up with some sequences to solve it. I never did understand the book I got given for Christmas that year, and was just happy to impress everyone I could solve it. I never got into speed-cubing, but could do it in about a minute, it was important to me to have just a few sequences to remember.
swapLBL  D' L' D  L  D' L' These 4 sequences are mirrors and reverses of each other.

Used to get layer 2 done, once layer 1 is complete.
Although I complete layer 1 with the corner purposely rotated but in place, as these sequences rotate the front top corner while they swap the bottom-side edge piece with the front-side edge piece.
I have to choose which of the 4 mirrors to do, based on which colors are where.

LFL  D  L' D' L  D  L'
RBR' D  R  D' R' D  R
RFR' D' R  D  R' D' R
kickLL  D  L' D  L  D  D  L' These 2 sequences are mirrors.

Used on solving the bottom/last layer.
They swap 3 edges down there.
When the two are back-to-back, they rotate just 2 bottom layer corners.

RR' D' R  D' R' D  D  R
3 CornersLL  D' R' D  L' D' R  D These 2 sequences are mirrors.

Used on the bottom layer to swap 3 corners around.

RR' D  L  D' R  D  L' D'
6-to-CrossR' B' D' B  D  R Used on solving the bottom/last layer.
Turning what looks like a 6-o-clock into a cross.
It also turns blank into 9-o-clock, and 9-o-clock into 6-o-clock.
There is apparently a similar sequence that does 9-o-clock directly to the cross, but I don't want to bother remembering more sequences, when repeating this one does what I need.
So I really have just 4 sequences to remember.
I've seen sequences that do things that I have to do sequences twice (or have to do two of mine) to do the same as their one sequence, but I'm happy to remember the few sequences I came up with.
You might notice that sequences generally move just two surfaces, I find those are easiest to do, as I have two hands. Sequences like 6-to-cross I find awkward to do, but it's what I worked out did the job, and I guess I'm stuck in my ways.

I generally take about 110 moves to solve a cube using my sequences. I hear the speedcubing people usually do it in 50 or 60 moves. But I do call the same move twice "2 moves", and I write something like "D D" instead of "", so maybe I have 10 or so less moves when I solve it, if that's the case.
I read that there is a great computer-necessary algorithm that takes between 15 and 20 moves to solve a cube. | bTd | Official Rubik site | Many cube references | Speedcubing for beginners