Live markets · visual mathematics · open research

See the structure.
Follow the evidence.

Watch market weather. Explore the geometry of fractions. Follow a paper from its first picture to the exact rule behind it.

Finance is descriptive, not a trading signal. Research results, finite certificates and open questions are labelled separately.

INVARIANT · LIVE PAPER The Line Game Move two cards. Keep the weight. Change the continuation. Open the live paper Play v7.2
Prediction becomes part of the play. The live paper can grow; v7.2 remains a maintained capstone worth returning to.

Choose your entrance

Three ways into the work.

Begin with the live object, the visual explanation or the paper. You do not have to learn the whole vocabulary first.

01

Watch the markets

Sixteen chamber-level views of public market data, with the snapshot time, coverage and limitations kept visible.

02

Find the connection

A guided Atlas of fractions, geometry, waves and the current analysis program. Read the object before exploring the relationship map.

03

Read the research

Start with the latest volume, browse 61 indexed records, or follow the earlier papers and tools that led here.

Featured research

From a triangle to a research frontier.

Browse all 61 records →
Cover of Triangular-n Postmaster, Reading Volume v5.1; RH status open
CURRENT READING VOLUME v5.1 RH OPEN

Triangular-n Postmaster

From the triangular primitive to the completed source frontier.

Reading Volume · 101 pages · Technical Dossier · 281 pages · September 2026

A familiar triangle becomes a coordinate, then a fold, then a ladder of exact identities. Version 5.1 makes the folded-state contract and research boundary explicit while keeping the inherited finite certificates, the open all-order source estimate and RH in their proper places.

Objects you can inspect

Move from the picture to the rule.

All interactive tools →

Polar shells & rational addresses

See denominator populations, primitive roots and the difference between an equal-area shell and a constant-density disk.

C-Geometry live paper: one geometric engine and three exact locks

C-Geometry: one engine, three exact locks

Carry a triangular address into a scale-covariant plane, then inspect its null coordinates, reciprocal-metallic locks and Pell bridge.

Waves with an evidence trail

Exact boundary scattering, finite-model claims and receipt-bound figures in the existing Finite-Observer Ledger companion.

Living objects

Built to return to.

A paper may be read once. An instrument, weather view, or game earns a return path. These objects can receive small informed improvements without losing their versioned foundations.

A public identity, a checkable trail

Read the claim. Keep its limits.

Papers connect to their records and tools. A finite computation does not become an all-order theorem; a market visualization does not become permission to trade.