Mathematics Lab

Bounded, local mathematics experiments with explicit input, method, source, and interpretation boundaries.

• Zeta zero field — Inspect a small published set of early non-trivial zero heights on the critical line.
• Collatz trajectories — Compute an exact finite trajectory for a positive safe integer.
• Goldbach decompositions — Enumerate exact prime pairs for an even integer up to 500.
• Complexity growth — Compare familiar polynomial growth rates with an exponential rate.
• Twin-prime gap explorer — Compute observed twin-prime pairs and consecutive-prime gaps in a finite range.
• Perfect cuboid checker — Check three integer edges against all face- and space-diagonal square conditions.
• Graph minor workshop — Edit a small graph, inspect a greedy coloring, and contract chosen edges.
• No-three-in-line grid — Place points on a finite grid and detect every collinear triple exactly.