Othello Board Collatz Cycle Explorer

Interactive visualization of Collatz-type cycles using the Othello board analogy.
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Configuration

p (path):

g (multiplier):

h (divisor):

Identifier

p: 1093

b: 0b10001000101

oe: OEEOEEEO

o (multipler steps): 3

e (divisor steps): 7

q (quotient): 1

x₀ (cycle start): 17

Examples:

g=3, h=2: p=9, p=37, p=73, p=585, p=281, p=293, p=2119, p=4681, p=8301
g=5, h=2: p=133, p=1045, p=1093
g=181, h=2: p=131089, p=131201
g=8, h=3: p=585

Controls

No cell selected. Click a cell on the board to select it.

Spread

Usage: Select a cell on the board, then use conservation laws to move pebbles. Spread mode automatically repeats Left/Up operations to reduce multiples to singletons. Use Undo/Redo to navigate changes, Reset to return to initial state.

Conservation Laws

Keyboard shortcuts: Keys apply operations with 1 pebble. Hold Shift to use maximum available pebbles.

Computing x-cycle...

Polynomial Representation

No board initialized. Click "Initialize Board" above to start.