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The Step Sphere


How does it work, you ask? First you must be able to visualize it. This is a cube, (2x2x2) with four 'poles' sticking out the front, back, top and bottom. The yellow boxes are in back and the green ones are in front. The grays are 'poles'.

Now look at the notes inside each of the boxes. These show all the different places you can move from a certain orientation on the pad. In the top left corner is the key: "feet location | facing direction", so LR/N is facing the screen.

Red lines indicate that your left foot moves, and blue lines, your right. LR/N to UL/NW is red- think about it. All the green boxes are 'forward facing' directions, and all the yellows are 'away'.

When all the lines connecting nodes ("positions") are completed and colored appropriately, you are left with eight triangles. See them?

Now for the long list of assertions: 1. No two triangles of the same color (feet) touch. 2. Each of the 12 nodes (positions) exist where two triangles of opposite colors (feet) touch.

This means you always have two places to go with either foot given that you do move one, and 2*2 = 4, hence the four lines coming out of each box.

3. A stream of notes ALWAYS follows the lines, but jumps may cut across. (Like UR->DL)

Here's what all the letters on the lines mean: To convert a series of nodes into a stream of notes, follow the letters on the path in the order you encounter them. Next it explains how to omit steps.

1. If the last step of the previous path and first step of the next path match, you may omit one of them. LDR + RDU -> LDR DU

2. If the last two steps of the last path and the first two steps of the next path match, you may omit one of the pairs. RDU + DUL -> RDU L

3. You may stay on a node for repeating steps given that the node contains the arrow you are repeating, and the last two steps are the ones on the way to the next node. RDU + DUL -> RDUUL, RDUDUL, RDUUDDUUDUDUDUL etc., but NOT RDUDL. (since the last two must be UL)

Example: For the funky spins in Paranoia/180, you use the rightmost yellow and green nodes, moving in a counter-clockwise circle between the four of them.

Now for the second page. It doesn't have color because I couldn't find any crayons after 2nd hour.

Imagine that the red and blue triangles are still there. Inside the triangles are fractions: "foot / arrow", read as "foot X on arrow Y".

For each 'triangle' connecting three nodes, all three nodes make you have a certain foot on a certain arrow. And since a node is the junction of two triangles, you have both of your feet oriented. There are four 'left on-' arrows and four 'right on-' arrows, and each of those sets of four has an '-on left, right, down, up', for a total of 2*4, or 8 triangles.

When all eight triangles are implemented, you get the completed first graph- six positions with two orientations each, or 6*2 = 12 nodes.

And that's what a step pattern VISUALLY looks like.