Uncloned Math – A catalog of original mathematical game mechanics

Hi HN!

I'm a mathematician who's spent 15+ years designing game mechanics. Lately I've been focused on what I call "Uncloned Math" — original systems where the core mechanic comes from a mathematical model, not from copying what already exists in the industry.

I've built over a dozen of these. Each is based on a different idea: graph propagation, topological transforms, cascade dynamics, constraint growth, verifiable physics engines.

https://constarik.github.io/UnclonedMath/

Some highlights:

• PADDLA — a physics arcade with provably fair outcomes. Every result is mathematically verifiable. Playable now.

• Dominake — a domino snake puzzle: place all unique dominoes on a grid and connect them into a chain where touching ends must match. Playable now.

• Samurai Welfare — two overlapping graphs where node activation on one layer propagates through both, creating interference.

• Chain Lightning — electric arcs cascade across a grid, each hop reshaping the path for the next.

• Rising Towers — columns grow with neighbor-based height constraints, producing emergent structures.

Most are experimental slot/puzzle hybrids. PADDLA and Dominake are the ones you can play right now.

Curious what HN thinks: — Which mechanics seem worth exploring further? — Does this kind of catalog have value for designers or researchers?

Thanks!