Helpful websites:

Helpful websites:

Helpful websites:

Helpful websites:

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

Template for hyperbolic soccer ball – this is a template by Keith Henderson to print out for making paper hyperbolic soccer ball. Use three sheets and overlap the hexagons that have the three dots. Also, don't cut the dotted segments, to save time, but cut only solid lines.

Helpful websites:

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

• Euclid’s Elements
• Parallel Postulate

• Symmetry and ornament
• Crystallography now
• Islamic Art
• Symmetry in tesselations

• Stomachion
• Dissection
• Dissected Squares

Square Roots in the Sulbasutra by David W. Henderson

• Animated mathematical proofs

• 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
• The Visualization of Mathematics

• Trisection of an Angle

• Inversions of circles and points in circles
• Inversion of a line

• Inversion
• Apollonius tangency problem

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 – this is a template by Keith Henderson to print out for making paper hyperbolic soccer ball. Use three sheets and overlap the hexagons that have the three dots. Also, don't cut the dotted segments, to save time, but cut only solid lines.

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

• Klein Bottle
• The Klein Bottle in 4-space
• Fly and Spider
• Distances across the surface of rectangular box

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
• Geometry in Motion

• http://www.geom.umn.edu/education/math5337/linkage/
• http://www.ams.org/new-in-math/cover/linkages4.html
• http://www.cwi.nl/~zsofi/machines/machines.html

• Polyhedra, tilings and dissection
• Stereo polyhedras - wonderful examples of analyphic (and other stereo
• imaging) polyhedras
• Regular Polyhedra

• Cosmic Microwave Background Research
• WMAP Mission
• Global Topology of Space – paper by J. Weeks
• Measuring the Shape of the Universe – paper by Cornish and Weeks
• Fourth dimension
• Secret Worlds – Universe within
• Geometry of the Earth and Universe