Mike Tate Mathematics

Symbol Synthesis Lattice

Mike Tate Math

Symbol Synthesis Lattice

Interactive mathematics · Codex progression

Inspect a concept, choose three that satisfy the current clue, and test the relation. Every confirmed chain stays in Codex Memory and installs one unique piece in the larger trophy.

0Score
1/5Field
1/4Pattern
0/60Unlocks
ConceptRelationFragmentTheorem seed
Analytic number theory

Euler Product Bridge

Find the analytic object, its prime-power coefficient, and the prime-restricted view.

Selected 0/3 Choose three nodes. Ruled out 0

symbol · plain name · ● selectable · ✓ banked nodes stay visible but disabled · a ruled-out chain cannot be submitted twice

Select any symbol to inspect it. Build a three-node chain when you recognize the relation.

Open when useful

Brief context stays folded away during play.

How one round works

Read the mission, inspect any tile for its definition, then choose exactly three concepts. Test the chain when their roles fit the clue. A correct synthesis opens its explanation; nothing advances until you press Next.

What the Codex is collecting

One confirmed pattern banks three concepts, one named relation, and one working tool. Four patterns complete a field, producing a fragment and a theorem seed. Across five fields, the full Codex holds 60 concepts and 20 reusable relations.

How the trophy records progress

Each of the 20 relations controls one uniquely shaped puzzle piece. The sculpture builds from an eight-piece foundation through six structural pieces and four cup pieces to a two-piece crown. Gray marks unfinished structure; field colors show what has been secured.

Continue into related mathematics

The game’s relations lead directly into the site’s longer explanations, visual models, and neighboring subjects.

MikeTateMath.org · patterns, transformations, invariants, and playable mathematical systems

Browse the full index