Shape of Space Main Index

Geodesics

• Teacher notes
  • Part 1
  • Part 2

• Student Activities
  • Line of Sight
  • Tic Tac Toe: Torus Style

Symmetry

• Teacher notes
  • Part 1: Introduction
  • Part 2: Definitions
  • Part 3: Symmetry and Shape of Space

• Student Activities: What's the right order here?
  • Symmetry and Tiling
    • Part 1: Objectives
    • Part 2: Activity 1
    • Part 3: Activity 2
  • Orbifolds
  • Symmetry and 3-D
    • Part 1:
    • Part 2:

Dimensions

• Teacher notes
  • Why Study Dimensions?
  • Dimensions in the Classroom: Hands-On Introduction
  • Discussion and Extension Questions: Methods for Exploration
  • Discussion and Extension Questions
  • Final Bows

• Web module
  • A Lateral Thinking Puzzle
  • Flatlanders
  • Curious about Flatland

Surfaces

• Teacher notes
  • Understanding Surfaces
    • Part 1: Introduction
    • Part 2: Definitions
    • Part 3: Surface Properties
    • Part 4: Euler characteristic
    • Part 5: Curvature
    • Part 6: Connected Sums
  • Teacher's Guide: Methodology, Class Questions, Answers

• Student Activities
  • Games(any particular order?)
    • Sprouts
    • Torus Tic Tac Toe
    • Snakes
    • Hex
    • Dots and Boxes with a twist
    • Objectives of Game Activities
  • Geometry vs. Topology
  • Topological Constant: Euler characteristics
  • Basic Surfaces
    • Part 1: Objectives and Activity 1
    • Part 2: Activity 2
    • Part 3: Activities 3 and 4
  • Torus
  • Surfaces with twists
    • chart
  • Strange Surfaces
    • Klein bottle
    • Projective Plane
  • Gluing Diagrams
    • Part 1:
    • Part 2:
    • Chart