VOL. 01 / SEPTEMBER 2026Open access
AN OPEN MATHEMATICAL OBSERVATORY

Where curiosity
becomes mathematics.

A place to follow questions, discover unexpected connections, and turn ideas into mathematics you can see, explore, and share.

NEW · 19 OCTOBER 2026COMBINATORICS · PREPRINT

Partition stabilization and semigroup gaps for ternary Parikh matrices

Exact counting formulas for words with repeated letters, connecting ternary Parikh matrices to integer partitions and numerical-semigroup gaps.

Read the paper, proofs and diagrams →
NEW · 2026-10-17

The Symmetry Architecture of Merkurius

A piano piece from 1996, read as mathematics: mirrored meter, inverted and reversed motifs, and Burnside counts of the design space.

Read the article →
01

An idea worth exploring

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COMBINATORICSMUSIC & MATHEMATICSREVISION 2 · 2026-09-20

Counting Melodies

Generating functions, regular languages, and the combinatorics of pitch, duration, and silence.

PITCHSILENCEDURATION
Christopher Yamba · September 2026Read article

Ideas, in the open

Original articles. Readable proofs.
Sources you can take with you.

Make the connection

From musical silence to formal languages.
Follow the thread between disciplines.

Explore, don’t just observe

Mathematics you can interact with.
A new perspective with every experiment.