Elementary Geometry by Ilka Agricola and Thomas Friedrich |
Mathematical Craftwork |
A collection of
`mathematical
craftwork' pages (left column is in English) - includes paper foldings, caleidocycles, cube puzzles, polyhexes, Platonic solids etc. |
Craft Technology Research Group (University of Colorado at Boulder) - using modern technology for hands-on paper folding (`JavaGami'), pop-ups etc. |
Card Board sheets for easy made polyhedra (most easily ordered from inside Germany, though) |
Zome Tool - the easiest kit around for building plastic models (see also the book Zome Geometry by G. Hart and H. Picciotto) |
Mathematical & Mechanical Puzzles |
Puzzle World a page maintained by John Rausch - includes literature, links to manufacturers etc. |
The Puzzling World of Polyhedral Dissections - the ultimate book on the topic by Stewart T. Coffin |
Polyhedra |
The encyclopedia of polyhedra THE online reference by artist George W. Hart (includes an impressive annotated bibliography and some classroom ideas) |
Geodesic
domes as well as two pages about their mathematics by Dave Anderson and Rene Mueller, and an origami version |
Euler's polyhedron formula as a starting point for modern polytope theory by Christian Blatter and Günter Ziegler, published in Elem. Math. 62 (2007), 184-192. |
Tilings & their relatives |
What symmetry groups are present in
the Alhambra? by Branko Grünbaum, published in the Notices of the AMS, June/July 2006 |
The Grammar of Ornament Digitalized version of Owen Jones's holy grail of art reference books (first published 1856) |
Introduction
to quasicrystals by Steffen Weber |
From quasicrystals to Kleenex an introduction to aperiodic tilings by Alison Boyle, published in + plus magazine, September 2001 |
Geometric figures (triangles, circles, lines etc.) |
Encyclopedia of triangle centers together with illustrations for it and the connection to the Euler line by Clark Kimberling |
Geometry in Action java animated visualisations of geometric properties & constructions by Clark Kimberling |
The Shape and History of The Ellipse in Washington, D. C. by Clark Kimberling | The Theorems of Steiner and Poncelet An animated introduction to the porisms of Steiner and Poncelet on circle chains and related topics by Thomas Bauer |
Ceva, Menelaus and the Area Principle A generalisation of the theorems of Ceva and Menelaos to planar polygons by Branko Grünbaum and Geoffrey C. Shepard, published in Mathematics Magazine 68 (1995), 254-268 |
Ruler and compass constructions Illustrations using JavaSketchpad ranging from drawing a parallel to constructing a 17-gon by Ken Brakke |
Other Symmetries |
Alice through looking glass after looking
glass: The Mathematics of Mirrors and Kaleidoscopes by Roe Goodman, published in The American Mathematical Monthly, April 2004 |
The graph of the truncated icosahedron and the last letter of Galois by Bertram Kostant, published in the Notices of the AMS, September 1995 |