This chapter on historical strands of geometry is much more expanded in the book *Crocheting Adventures with the Hyperbolic Planes* by Daina Taimina (AK Peters, 2009)

Experiencing Meaning in Geometry - by David W. Henderson & Daina Taimina

How to Use History to Clarify Common Confusions in Geometry by David W. Henderson & Daina Taimina

- History of Mathematics links
- Geometry of Ancient Sites
- Symmetry and Pattern - the Art of Oriental rug

Crocheted Hyperbolic Plane by David W. Henderson & Daina Taimina

Annuli for hyperbolic paper model this is a template to print out for making hyperbolic paper model from anulli

Template for hyperbolic soccer ball - please print 3 pages with hexagons and one page of heptagons to have a template for 3 models, of course, you can make your model as big as you like :-)

Software for hyperbolic geometry** - **NonEuclid offers straightedge and compass constructions in hyperbolic geometry.

- Congruence of Triangles
- Triangles on a Sphere
- Lunes and Triangles in Spherical Geometry
- Triangles on a Sphere Wolfram demonstrations Project

- Spherical Geometry Demo by John Sullivan

- Symmetry and ornament
- The Grammar of Ornament by Owen Jones, London, 1910
- Crystallography now
- Isometries in hyperbolic plane
- Wallpaper groups
- Plane Symmetry Groups
- Symmetries on the Sphere by Carlo Sequin
- Symmetry Planes by George Hart

- Stomachion
- Dissection
- Hinged Dissections
- Perfect Square Dissection
- Hinged Dissection of Polypolyhedra

Square Roots in the Sulbasutra by David W. Henderson

- Modeling the Brain - Projecting the surface of the human brain onto a sphere and/or hyperbolic plane with discussions of preserving angles, versus preserving distances, and/or versus preserving areas.
- Geometry of the Earth and Universe
- The Use of Anglyph Glasses in Viewing 3-D Models
- Mapping the Sphere
- Projecting the Sphere from
*Mathematics Illuminated*

Interactive examples by David W. Henderson (requires a Java 1.1 compatible browser, please be patient ? first download is slow):

Helpful websites:

- Inversion
- Apollonius tangency problem
- Circle Inversion
- Inversions in Circles
- Orthogonal Circle Inversion Wolfram Demonstrations Project
- Fractals and Circle Inversions

Crocheted Hyperbolic Plane by David W. Henderson & Daina Taimina

Annuli for hyperbolic paper model this is a template to print out for making hyperbolic paper model from anulli

Template for hyperbolic soccer ball - please print 3 pages with hexagons and one page of heptagons to have a template for 3 models, of course, you can make your model as big as you like :-)

Reflection of triangle in upper half plane model ? interactive example by David W. Henderson (requires a Java 1.1 compatible browser, please be patient ? first download is slow)

- Modeling the Brain - Projecting the surface of the human brain onto a sphere and/or hyperbolic plane with discussions of preserving angles, versus preserving distances, and/or versus preserving areas.

- Technique Based on Hyperbolic Geometry for Visualizing Large Hierarchies
- Translations, Parallel Transport, and Holonomy in Poincare Model

- The Klein Bottle in 4-space
- Klein Bottle YouTube video
- Fly and Spider
- Distances across the surface of rectangular box
- Learning Low Dimensional Manifolds Google Talk
- Knitted Klein Bottle
- Mathematical Knitting

Geometric solutions of Quadratic and Cubic Equations by David W. Henderson

Kinematic models for Design Digital Library

- Involutes
- Mechanical linkages using Sketchpad
- Geometrical models of machines in connection with bibliography from Modena
- Every polygon can be untangled paper by R. Connely, E. Demaine, G. Rote
- Kinematic synthesis of robots
- Research on spacial linkages

Peaucellier-Lipkin linkage links:

- Stereo polyhedras - wonderful examples of analyphic (and other stereo imaging) polyhedras

- Cosmic Microwave Background Research
- WMAP Mission
- Planck Sattelite
- Global Topology of Space paper by J. Weeks
- Measuring the Shape of the Universe paper by Cornish and Weeks
- Secret Worlds - Universe within
- Geometry of the Earth and Universe