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Welcome to MAT 402 Introduction www.pgadey.ca Textbook @pgadey Notice and Wonder Models and Homework Weekly Workflow Topics 1 / 7 Introduction www.pgadey.ca @pgadey Geometry is mathematics for the hands and eyes. 2 /

  1. Welcome to MAT 402 ◮ Introduction www.pgadey.ca ◮ Textbook @pgadey ◮ Notice and Wonder ◮ Models and Homework ◮ Weekly Workflow ◮ Topics 1 / 7

  2. Introduction www.pgadey.ca @pgadey Geometry is mathematics for the hands and eyes. 2 / 7

  3. Textbook www.pgadey.ca @pgadey 3 / 7

  4. Textbook Sossinsky, A. B. Geometries. Student Mathematical Library, vol. 64. American Mathematical Society www.pgadey.ca (2012). @pgadey 3 / 7

  5. Textbook Sossinsky, A. B. Geometries. Student Mathematical Library, vol. 64. American Mathematical Society www.pgadey.ca (2012). @pgadey Klein: “A geometry ( X : G ) is a space X and a group of transformations G ” 3 / 7

  6. Notice and Wonder www.pgadey.ca @pgadey 4 / 7

  7. Notice and Wonder www.pgadey.ca @pgadey ◮ Write a two to three sentence summary of the readings. 4 / 7

  8. Notice and Wonder www.pgadey.ca @pgadey ◮ Write a two to three sentence summary of the readings. ◮ When you were reading Platonic Solids, what did you notice? 4 / 7

  9. Notice and Wonder www.pgadey.ca @pgadey ◮ Write a two to three sentence summary of the readings. ◮ When you were reading Platonic Solids, what did you notice? ◮ What was something that you found confusing or interesting? 4 / 7

  10. Notice and Wonder www.pgadey.ca @pgadey ◮ Write a two to three sentence summary of the readings. ◮ When you were reading Platonic Solids, what did you notice? ◮ What was something that you found confusing or interesting? ◮ What was something that you want to learn more about related to this chapter? 4 / 7

  11. Models and Homework www.pgadey.ca @pgadey 5 / 7

  12. Models and Homework Models: www.pgadey.ca @pgadey 5 / 7

  13. Models and Homework Models: ◮ The Dihedral Calculator (15 min) www.pgadey.ca @pgadey 5 / 7

  14. Models and Homework Models: ◮ The Dihedral Calculator (15 min) ◮ The Platonic Solids (45 min) www.pgadey.ca @pgadey 5 / 7

  15. Models and Homework Models: ◮ The Dihedral Calculator (15 min) ◮ The Platonic Solids (45 min) ◮ The Tetrahedral Kaleidoscope (2 hours) www.pgadey.ca @pgadey 5 / 7

  16. Models and Homework Models: ◮ The Dihedral Calculator (15 min) ◮ The Platonic Solids (45 min) ◮ The Tetrahedral Kaleidoscope (2 hours) www.pgadey.ca ◮ The Annular Strip Plane (30 min) @pgadey 5 / 7

  17. Models and Homework Models: ◮ The Dihedral Calculator (15 min) ◮ The Platonic Solids (45 min) ◮ The Tetrahedral Kaleidoscope (2 hours) www.pgadey.ca ◮ The Annular Strip Plane (30 min) @pgadey ◮ The { 3 , 7 } Plane (45 min) 5 / 7

  18. Models and Homework Models: ◮ The Dihedral Calculator (15 min) ◮ The Platonic Solids (45 min) ◮ The Tetrahedral Kaleidoscope (2 hours) www.pgadey.ca ◮ The Annular Strip Plane (30 min) @pgadey ◮ The { 3 , 7 } Plane (45 min) Homework: 5 / 7

  19. Models and Homework Models: ◮ The Dihedral Calculator (15 min) ◮ The Platonic Solids (45 min) ◮ The Tetrahedral Kaleidoscope (2 hours) www.pgadey.ca ◮ The Annular Strip Plane (30 min) @pgadey ◮ The { 3 , 7 } Plane (45 min) Homework: ◮ Groups, Symmetries, Isometries (7 q) 5 / 7

  20. Models and Homework Models: ◮ The Dihedral Calculator (15 min) ◮ The Platonic Solids (45 min) ◮ The Tetrahedral Kaleidoscope (2 hours) www.pgadey.ca ◮ The Annular Strip Plane (30 min) @pgadey ◮ The { 3 , 7 } Plane (45 min) Homework: ◮ Groups, Symmetries, Isometries (7 q) ◮ Symmetries, Orbits, Stabilizers (7 q) 5 / 7

  21. Models and Homework Models: ◮ The Dihedral Calculator (15 min) ◮ The Platonic Solids (45 min) ◮ The Tetrahedral Kaleidoscope (2 hours) www.pgadey.ca ◮ The Annular Strip Plane (30 min) @pgadey ◮ The { 3 , 7 } Plane (45 min) Homework: ◮ Groups, Symmetries, Isometries (7 q) ◮ Symmetries, Orbits, Stabilizers (7 q) ◮ Friezes, Tilings, and Solids (8 q) 5 / 7

  22. Models and Homework Models: ◮ The Dihedral Calculator (15 min) ◮ The Platonic Solids (45 min) ◮ The Tetrahedral Kaleidoscope (2 hours) www.pgadey.ca ◮ The Annular Strip Plane (30 min) @pgadey ◮ The { 3 , 7 } Plane (45 min) Homework: ◮ Groups, Symmetries, Isometries (7 q) ◮ Symmetries, Orbits, Stabilizers (7 q) ◮ Friezes, Tilings, and Solids (8 q) ◮ Inversion and Hyperbolic Isometries (10 q) 5 / 7

  23. Models and Homework Models: ◮ The Dihedral Calculator (15 min) ◮ The Platonic Solids (45 min) ◮ The Tetrahedral Kaleidoscope (2 hours) www.pgadey.ca ◮ The Annular Strip Plane (30 min) @pgadey ◮ The { 3 , 7 } Plane (45 min) Homework: ◮ Groups, Symmetries, Isometries (7 q) ◮ Symmetries, Orbits, Stabilizers (7 q) ◮ Friezes, Tilings, and Solids (8 q) ◮ Inversion and Hyperbolic Isometries (10 q) ◮ Hyperbolic Measurement (9 q) 5 / 7

  24. Weekly Workflow www.pgadey.ca @pgadey 6 / 7

  25. Weekly Workflow Notice and Wonder: Monday 09:00 to Friday 17:00 www.pgadey.ca @pgadey 6 / 7

  26. Weekly Workflow Notice and Wonder: Monday 09:00 to Friday 17:00 Assignments: Wednesday 11:59 to Wednesday 11:59 www.pgadey.ca @pgadey 6 / 7

  27. Weekly Workflow Notice and Wonder: Monday 09:00 to Friday 17:00 Assignments: Wednesday 11:59 to Wednesday 11:59 Class: Monday and Friday 09:00 to 10:00. www.pgadey.ca @pgadey 6 / 7

  28. Weekly Workflow Notice and Wonder: Monday 09:00 to Friday 17:00 Assignments: Wednesday 11:59 to Wednesday 11:59 Class: Monday and Friday 09:00 to 10:00. (Longer if things are interesting.) www.pgadey.ca @pgadey 6 / 7

  29. Weekly Workflow Notice and Wonder: Monday 09:00 to Friday 17:00 Assignments: Wednesday 11:59 to Wednesday 11:59 Class: Monday and Friday 09:00 to 10:00. (Longer if things are interesting.) www.pgadey.ca @pgadey ◮ Do the readings. 6 / 7

  30. Weekly Workflow Notice and Wonder: Monday 09:00 to Friday 17:00 Assignments: Wednesday 11:59 to Wednesday 11:59 Class: Monday and Friday 09:00 to 10:00. (Longer if things are interesting.) www.pgadey.ca @pgadey ◮ Do the readings. ◮ Watch the weekly videos. 6 / 7

  31. Weekly Workflow Notice and Wonder: Monday 09:00 to Friday 17:00 Assignments: Wednesday 11:59 to Wednesday 11:59 Class: Monday and Friday 09:00 to 10:00. (Longer if things are interesting.) www.pgadey.ca @pgadey ◮ Do the readings. ◮ Watch the weekly videos. ◮ Participate in the class. 6 / 7

  32. Weekly Workflow Notice and Wonder: Monday 09:00 to Friday 17:00 Assignments: Wednesday 11:59 to Wednesday 11:59 Class: Monday and Friday 09:00 to 10:00. (Longer if things are interesting.) www.pgadey.ca @pgadey ◮ Do the readings. ◮ Watch the weekly videos. ◮ Participate in the class. ◮ Work on the homework. 6 / 7

  33. Weekly Workflow Notice and Wonder: Monday 09:00 to Friday 17:00 Assignments: Wednesday 11:59 to Wednesday 11:59 Class: Monday and Friday 09:00 to 10:00. (Longer if things are interesting.) www.pgadey.ca @pgadey ◮ Do the readings. ◮ Watch the weekly videos. ◮ Participate in the class. ◮ Work on the homework. ◮ Learn some beautiful mathematics! 6 / 7

  34. Welcome and Good Luck! www.pgadey.ca @pgadey 7 / 7

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