Supplements to some chapters of Experiencing Geometry 3rd edition

Chapter 0 Historical Strands of Geometry

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

Chapter 1 What is Straight?

Chapter 2 Straightness on Spheres

Chapter 3 What is an Angle?

Chapter 4 Straightness on Cylinders and Cones

Chapter 5 Straightness on Hyperbolic Planes

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.

 

Chapter 6 Triangles and Congruencies

Chapter 7 Area and Holonomy

Chapter 8 Parallel Transport

Chapter 9 SSS, ASS, SAA, and AAA

Chapter 10 Parallel Postulates

Chapter 11 Isometries and Patterns

Chapter 12 Dissection Theory

Chapter 13 Square Roots, Pythagoras, and Similar Triangles

Square Roots in the Sulbasutra by David W. Henderson

Chapter 14 Projections of a Sphere onto a Plane

Chapter 15 Circles

Chapter 16 Inversions in Circles

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

Helpful websites:

Chapter 17 Projections (Models) of Hyperbolic Planes

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.

Chapter 18 Geometric 2-Manifolds

Chapter 19 Geometric Solutions of Quadratic and Cubic Equations

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

Chapter 20 Trigonometry and Duality

Chapter 21 Mechanisms

Kinematic models for Design Digital Library

Exploring linkages

Four Bar Linkages

Universal Joint

Reuleaux Triangle

Peaucellier-Lipkin linkage links:

Chapter 22 3-Spheres and Hyperbolic 3-Spaces

Chapter 23 Polyhedra

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

Chapter 24 3-Manifolds and the Shape of Space