Welcome to a site devoted to the quiet beauty of geometry —
Poly Geometry

This is a personal site, shaped over many years with the generous help of fellow geometers — especially members of the QPG Forum.

Poly Geometry is a new branch of geometry, shaped by configurations of n points, n lines, and curves of degree n — a structure echoed in the name Poly.

Below are two examples that illustrate the spirit of Poly Geometry — inviting both curiosity and insight.

 

Every n-Point configuration has its own barycenter:

Afbeelding 6 Afbeelding 7 Afbeelding 8 Afbeelding 9 Afbeelding 10

Every polynomial curve of degree n can have up to n intersection points with a line:

Afbeelding 1 Afbeelding 2 Afbeelding 3 Afbeelding 4 Afbeelding 5

Start your journey with the dedicated Poly Geometry page.

 

Latest Updates & News

12 March 2026 — First Forum Journals Released

The first two annual volumes of the QPG Journal are now available in downloadable PDF-format.

Each volume is collected from the year’s contributions to the Quadri- and Poly-Geometry Forum, preserving the evolving discussions, constructions, and discoveries in a structured format.

There’s a special link feature that lets you jump quickly between messages.

The journal complements the EPG Encyclopedia, which provides the formal background and extended context for the ideas explored in the forum.

Available volumes:

19 November 2025 — Site Relaunch & Treasury Launch

The site has undergone its first complete redesign since its launch 14 years ago, bringing together all previous sections of encyclopedias into the unified EPG.

What’s new:

  • Cubic Section — An extensive section on cubic curves has been added.
  • EPG Treasury — Contributors can now archive and share related articles.
  • Annual Journals — Forum contributions are curated for long-term reference.
  • Downloads — A range of downloads has been added:
    • All encyclopedia sections are available as PDF reference volumes.
    • Extensive macro sets for Cabri II to support further research.
    • Specialized Mathematica notebooks with modular tools for exploration.

I intend to post occasional updates here about ongoing developments.




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