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

14 June 2026 — All Forum Journals Now Available

All annual volumes of the QFG & QPG Journals have now been released in downloadable PDF format.

They bring together all messages from:

  • the Quadri-Figures Group (2013–2019)
  • the Quadri- and Poly-Geometry Group (2019–present)

preserving the discussions, constructions, and developments recorded there,

complete with cross references and a fast navigation link system.

In total, the Journals now comprise more than 7000 pages of material,

including not only the full message archive but also extended author information

where available.

Together, they complement the EPG Encyclopedia by offering the informal development,

background reasoning, exploratory ideas, and a range of additional insights and 

discoveries not included in the EPG.

All volumes are now available on the dedicated page for the QFG & QPG Journals:

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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