User:Melwin22/Castles/programmable arm

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I consider the following to be my "magnum opus" in this rule.

The arm

In the shown pattern, head of the arm starts as a 2c/22 wickstretcher. On the left, a 3500-cell long horizontal tape with "commands" is attached to it (I didn't figure out any way to bend the tape, and for reasons explained later, its length grows very fast with each "command" added). On the right, a 1200-cell vertical wire is added to showcase some of the arm abilities.

x = 3566, y = 1291, rule = B3678/S135678 3563b2o$3563b2o$3562b4o$3563b2o$3563b3o$3561b4o$3563b3o$3563b2o$3562b 4o$3563b2o$3562b4o$3563b2o$3563b3o$3563b2o$3561b5o$3562b3o$3561b5o$ 3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b 3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$ 3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b 5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$ 3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b 3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$ 3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b 5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$ 3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b 3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$ 3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b 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3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$ 3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b 5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$ 3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b 3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$ 3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b 5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$ 3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b 3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$ 3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b 5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$ 3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b3o$3561b5o$3562b 3o$3561b5o$3562b3o$3540bo20b5o$obobo2199bobobobobobobobobobobobobobobo bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo 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(click above to open LifeViewer)

Command list

Command number Generation, at which it reaches the head Type of signal What it does
1 148 2 x "off" Turns the wickstretcher into a stationary object with period 4. Two signals "on" bounce back.
2 207 2 x "on" Cancels out the bounced back signals from the previous command.
3 912 2 x "off" Turns the p4 object into a p12 object that interacts with the left wire. This is a signal reflector, which can reflect both the "on" phase (shown incoming from the north) and the "off" phase (shown incoming from the south).
4 1085 1 x "on" Turns the p12 object into an asymmetrical fuse, which burns at 8c/84. The left wire stays unaffected.
5 1320 1 x "on" Turns the asymmetrical fuse into a faster, symmetrical fuse, which burns at 2c/13. (Attempting to turn the p12 reflector directly into the 2c/13 fuse results in destruction of the left wire.)
6 3141 2 x "off" Turns the fuse into a stationary, stable object.
7 3247 2 x "on" Restarts the wickstretcher. Arm is now back in its starting condition, ready to be programmed again.

Limitations

The biggest problem here is the fact that "on" signal and "off" signal travel at different speeds: "on" is c, while "off" is c/3. This means that if a command is sent that uses the "off" signals, the next command using "on" signals must be at least 3x further from the head, so the commands don't interfere with each other. Combined with the fact that the command tape can't bend, it means that the tape gets VERY long fast.

Another problem is timing. Basically, every command must arrive in the exactly correct phase, or else an utter chaos is created, irreversibly destroying the head, tape, wire, and all surroundings.

Despite these limitations, I'm quite proud of developing such a complicated circuit, in a rule where guns and glider-like logic are most likely impossible. I'm sure there are more commands that can be useful.

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