*Class meets:* MWF 1:10–2 pm, EN 2102

*Instructor:* Eric Moorhouse
RH 216

*Office Hours:* MW 2:10–3:30pm; R 9:30-11am. Subject to change.
See online schedule for current hours and
exceptions

The Final Exam is scheduled for 1:15-3:15pm on Wed Dec 16 in our usual lecture room, EN 2102. Consult the syllabus and the sample exam below for further details

- Students and Teachers Working Together (UW policy on the rights and responsibilities of students and teachers)
- UW Policy on Academic Honesty
- Syllabus / Policies
- The first course handout: Overview of Modern Geometries
- A new tiling of the Euclidean plane using congruent convex pentagons
- Affine Planes: An introduction to the axiomatic method in geometry
- HW1 due Monday, Sept 14, 2015. Solutions. Average grade: 49/50
- Course grades can be checked on WyoCourses
- HW2 due Friday, Sept 25, 2015. Postponed—now due Monday, Sept 28. Solutions. Average grade: 48/50
- More on the Axioms of Affine Plane Geometry
- Download GeoGebra (freeware for Euclidean plane constructions) for your personal computer
- An application of affine planes to the design of statistical experiments
- A mathematical explanation of the game Set®. Note on page 3 an example of a maximal set of points, no three collinear
- HW3 due Monday, Oct 12. Solutions. Average: 29/30
- Introduction to Projective Planes
- In class we showed that the SpotIt® game is based on a classical projective plane of order 7. Here is an account of this connection, using a slightly different isomorphism found in my Fall 2014 class
- HW4 Due Mon Oct 26 by 5pm. Solutions
- Sample Test in preparation for the
Test during class time on Wed Oct 28.
*Do not read the solutions until you have worked through the sample test yourself* - Test and solutions. Average: 86/100
- Straightedge-and-compass constructions demonstrated using animations ... very cool!
- HW5 due Fri Nov 13, 2015. Solutions. Average: 19/20
- HW6 due Mon Nov 16, 2015. Solutions. Average: 46/50
- View the animation of Steiner chains of circles
- HW7 due Mon Nov 30, 2015. Solutions. Average: 19/20
- More constructions with straightedge and compass, plus an explanation of Steiner chains of circles
- HW8 due Mon Dec 7, 2015. Solutions. Average: 56/60
- Geodesics on Surfaces
- Crochet models of the hyperbolic plane (Henderson & Taimina, 2001)
- Samples of Escher's tessellations of the Euclidean and hyperbolic planes
- More tessellations of the hyperbolic plane using congruent triangles (ignore the references to groups here)
- Reflections in the Euclidean and real hyperbolic planes
- The 17 types of Euclidean plane tilings (i.e. periodic wallpaper patterns)
- Penrose Tiles and Pentaplexity
- Chien-Shiung Wu's experiment
- Spacetime
- The projective plane of order 2 featured on p.362
of
*Road to Reality: A Complete Guide to the Laws of the Universe*by Roger Penrose (2004) - Another application of geometry: Error-Correcting Codes
- Sample Final Exam.
*Do not read the solutions until you have worked through the sample exam yourself*

/ revised November, 2015