## Geometer's Sketchpad Activities

The files listed below run with The Geometer’s Sketchpad. These files, made by the author using *Sketchpad* v. 4.05, offer dynamic
constructions with comments that complement content in the text.

To download the files, follow this link: Download Sketchpad Files.

- Text Tools.
- Put the following file in the Tool Folder of your
*Sketchpad*folder (*text_tools.gsp*). Then reload*Sketchpad*to access tools relevant to the non-Euclidean constructions used in the text.

- Put the following file in the Tool Folder of your
- Chapter 1
- Exercise 1.3.5 – Coneland (
*coneland.gsp*) - Exercise 1.3.7 - Saddleland (
*saddleland.gsp*)

- Exercise 1.3.5 – Coneland (
- Chapter 3
- Inversion (i
*nversion_intro.gsp*) - Theorem 3.2.10 – Inversion preserves angle magnitudes (
*inversion_conformal.gsp*) - Theorem 3.4.8 – The Fundamental Theorem of Mobius Transformations (
*Mob1_0_infinity.gsp*) - Type I and II clines (
*typeIandII.gsp*) - Mobius transformations determined by 2 inversions (
*mobtwoinversions.gsp*)

- Inversion (i
- Chapter 5
- hyperbolic translation (
*hyperbolictranslation.gsp*) - hyperbolic rotation (
*hyperbolicrotation.gsp*) - parallalel displacement (
*paralleldisplacement.gsp*) - Example 5.1.8 - Moving an “M” around in the hyperbolic plane (
*Move_the_M.gsp*) - Definition 5.2.10 - Constructing a hyperbolic circle (
*hypcircle.gsp*) - Example 5.3.14 – The hyperbolic circle through 3 points, perhaps (
*hypcirclethrough3pts.gsp*) - Exercise 5.4.4 - All ideal triangles are congruent
*(ideal_triangle.gsp*) - Theorem 5.4.21 - Right angled hexagons (
*rightanglehexagon.gsp*)

- hyperbolic translation (
- Chapter 6
- A look at antipodal points (
*antipodal_points.gsp*) - Figures in elliptic space (
*elliptic_figures.gsp*)

- A look at antipodal points (
- Chapter 7
- Example 7.7.9 and Exercise 7.7.1 - H
_{1}as a quotient of the Euclidean plane, with Dirichlet domains (*H1Dirichlet.gsp*) - Section 7.7 – The space C
_{2}as a quotient of the Euclidean plane (*C2quotient.gsp*) - Exercise 7.7.2 - C
_{3}as a quotient of the hyperbolic plane, with Dirichlet (*C3Dirichlet.gsp*) - Exercise 7.7.4 – The Dirichlet domain of an observer in C
_{2}varies from point to point (*C2Dirichlet.gsp*)

- Example 7.7.9 and Exercise 7.7.1 - H