Kapitel
Dynamic Construction of Archimedean Solids
This book formed the bases to my lecture at the MEDA Conference 2026, which was took place at Johannes Kepler University Linz (JKU) from 15th - 18th of September 2026.
It describes the experience of the author when creating dynamic Archimedean solids and using them in lessons. It also contains some Applets, which are not lesson-proofed, but they demonstrate some difficulties.
A German print version is available since August 2026: https://doi.org/10.37626/GA9783959873949.0 An online version is also available.
created: 01.02.2026 last edit: 12.09.2026 published: 18.09.2026
Test lecture: Thursday, 23rd, 2026, University of Cologne, staff-colloquium.
Inhaltsverzeichnis
About the Book
What is a star?
Groups of solids
Compound Hexahedron Octahedron
Mutual Interpenetration
Expanding
Bevelling
One highlight
Conclusion + Discussion
Extension: Non-Convex Solids
Lecture at Cologne
- Title
- What awaits you
- Convex solids sorted
- Sculptures and personal connection
- Facts about solids
- Definition and Demarcation
- Using spheres
- One big difference - geometrically obvious
- Using data records
- Starting the metamorphosis
- Truncating
- Union and convex hull
- Focus the name
- Using duality - extension
- Compound octahedron hexahedron
- Power of forms
- Nerds as solids
- Telling the trick
- Nerds in action
- Icosidodecahedron by mutual interpenetration
- Hexahedron - rhombic cuboctaeder by expanding
- Expanding + turning = bevelling?
- Algebraic background
- Symbolic Structure
- Metamorphosis of a rhombic cuboctahedron
- Why?
- Discussion