Interactive Collatz tools

Dvilicate's home

Visual toys for the Collatz conjecture — residue grids, suffix sieves, and digit carry machines. Poke the demos, then dig into the maths.

Open the explainer → Try the sieve Discord

What you can explore

Three views of the same story — pick one and dive in.

Screenshot of the Collatz residue grid explainer
Residue grid

Collatz Explainer

Walk hailstone numbers on a base-3 / base-4 residue grid. Nudge digits, watch carries cascade left.

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Suffix sieve tree expanded to four digit levels
Suffix sieve

Trailing-digit sieve

Expand trailing base-4 digits. Green classes still grow; red ones are already forced to drop.

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Carry wheel diagram for base-4 Collatz digit steps
Carry wheel

The carry wheel

How ×3+c turns base-4 digits into the next column — reflection, rotation, and carry symbols.

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🔢 All maths tools

Residue grid, base-4 digit tree, suffix sieve — full list.

💬 Forum

Discuss findings or suggest new visualisations.

👋 About

What this site is and where it's headed.

☕ Support

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