A place to investigate mathematics
Topology, Fourier, Geometry, Complex, Chaos and Spectral each begin with an object that can be inspected and changed. Their shared question is what a change affects, and which conclusions remain valid under the stated assumptions. The Atlas connects these ideas; Notebook preserves computational studies and local experiments.
The project brings together original explanations of established mathematics, reproducible computational studies, and an archive of arguments and methods. Readers can begin with a diagram, follow a guided path, or examine the derivation and data in detail.
Attribution and assistance
Project attribution: BIPH Math Society. Codex assisted with the implementation, mathematical exposition, initial computational runs and testing. The source references identify the authors of the mathematics and explanations that informed this work.
Individual contributors are credited when their names and actual contributions are provided. The recorded software execution and its timestamp identify how a computational result was produced; they do not identify a student as its experimenter unless that participation has been recorded.
Review status
Teacher/member mathematical review is pending. No teacher or member mathematical review has been recorded for these exhibits or studies. Tool-assisted source checking, implementation review and automated numerical tests are separate records, each with a stated scope.
A completed human review should identify the reviewer, date, material and version examined, findings, and any remaining limitations. Until such a record exists, the public review status stays pending. The existence of a theorem reference or a passing computation does not change that status.
Contribute a reproducible observation
A useful contribution might clarify an assumption, improve an explanation, reproduce a study, test an interaction, or correct a result with supporting mathematics. Begin with a specific exhibit and retain the settings that led to the observation.
For a computational issue, prepare the exported JSON, the steps taken, the expected result with its source or reasoning, and the actual value or behavior. Include the browser and viewport when the issue concerns interaction or readability. For a proposed mathematical correction, identify the statement and the condition that needs to change. This material gives members and teachers something concrete to review.
- Exposition
- A clear definition, derivation or example with explicit assumptions and references.
- Study
- An actual run with inputs, method, results, interpretation and limitations that another reader can reproduce.
- Review
- A dated examination of identified material and version, with findings and an accurately recorded outcome.