Dan's Hyperbolic geometry Links

I collated this set of links while working with SUMaC during the northern summer 2007. I expect they will get out of date very quickly but at the time I collected this list it seemed better than any other similar compilation on the internet. I have checked them as of the updating of my webpage, November 2008.

Wikipedia on hyperbolic geometry

• Hyperbolic geometry entry

Pages with lots of links:

• Geometry junkyard page
• Links to tilings at the Geometry junkyard

Interactive Java applets

• Lots of pages of good interactive java applets on hyperbolic geometry, using cabri.
• Java applet for hyperbolic triangle area

From the geometry center:

• Colleen Robles (some pictures)
• Hyperbolic triangle area (applet)
• Geometry forum
• Models of the hyperbolic plane
• Pictures from video "Not knot"
• Pictures of the hyperbolic plane
• 237 tiling
• About Jeff Weeks software
• Shape of Space video
• Teichmuller navigator

From "Geometry and the Imagination"

• Projects
• Curvature of surfaces: This page and this one too

Hyperbolic tessellations/tilings

• Tessellations with Schlafli symbols
• Gallery by Bernie Friedin
• Escher-style tilings, including hyperbolic ones
• Penguins by Misha Kapovich

Hyperbolic tessellations by Sascha Rogmann:

• Dodecahedra
• Cubes
• Buckyballs
• Fun animations
• Triangles and more triangles

From M.C. Escher:

• Circle Limit III: 1959 woodcut, second state, in yellow, green, blue, brown and black, printed from 5 blocks
• Circle Limit IV: 1960 woodcut in black and ocre, printed from 2 blocks

Popular Articles

• Visions of Infinity: Tiling a hyperbolic floor inspires both mathematics and art. From sciencenews.org.
• Interview in Cabinet magazine on hyperbolic crochet

Jeff Weeks software:

• KaleidoTile: Polyhedra and tilings
• Curved Spaces: Flight simulator

Other Software

• NonEuclid: Java software for ruler/compass constructions in hyperbolic geometry

YouTube

• Not Knot (1/2)
• Not Knot (2/2)
• Hyperbolic geometry song (requires stomach)
• Moebius transformations revealed

The Institute for Figuring has a very slick gallery of hyperbolic stuff, including crochet:

• Crochet article
• Reported in the Christian Science Monitor
• LA Times article on crochet
• NY Times article on crochet
• NPR (with mp3) on crochet
• Science article on crochet
• Bangor daily news article on crochet
• Blog entry on crochet:

Tractrices

• Tractrix and "tractional movement" in geometry (in French)
• Tractrix and pseudosphere
• Relationship between tractrix and other models

Random other links

• Neutral and non-euclidean geometries by David C. Royster
• Sewing a two-holed cloth torus
• Hyperbolic surfaces in nature, including hyperbolic paper
• Cool animated gif of a parabolic I saw randomly on a blog