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Welcome to MAT 402
◮ Introduction ◮ Textbook ◮ Notice and Wonder ◮ Models and Homework ◮ Weekly Workflow ◮ Topics
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Introduction
Geometry is mathematics for the hands and eyes.
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Welcome to MAT 402 Introduction www.pgadey.ca Textbook @pgadey - - PowerPoint PPT Presentation
Welcome to MAT 402 Introduction www.pgadey.ca Textbook @pgadey - - PowerPoint PPT Presentation
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 /
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Textbook
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Textbook
Sossinsky, A. B. Geometries. Student Mathematical Library, vol. 64. American Mathematical Society (2012).
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Textbook
Sossinsky, A. B. Geometries. Student Mathematical Library, vol. 64. American Mathematical Society (2012). Klein: “A geometry (X : G) is a space X and a group of transformations G”
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Notice and Wonder
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Notice and Wonder
◮ Write a two to three sentence summary of the readings.
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Notice and Wonder
◮ Write a two to three sentence summary of the readings. ◮ When you were reading Platonic Solids, what did you notice?
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Notice and Wonder
◮ 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?
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SLIDE 10
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Notice and Wonder
◮ 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?
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Models and Homework
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Models and Homework
Models:
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Models and Homework
Models: ◮ The Dihedral Calculator (15 min)
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Models and Homework
Models: ◮ The Dihedral Calculator (15 min) ◮ The Platonic Solids (45 min)
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Models and Homework
Models: ◮ The Dihedral Calculator (15 min) ◮ The Platonic Solids (45 min) ◮ The Tetrahedral Kaleidoscope (2 hours)
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Models and Homework
Models: ◮ The Dihedral Calculator (15 min) ◮ The Platonic Solids (45 min) ◮ The Tetrahedral Kaleidoscope (2 hours) ◮ The Annular Strip Plane (30 min)
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Models and Homework
Models: ◮ The Dihedral Calculator (15 min) ◮ The Platonic Solids (45 min) ◮ The Tetrahedral Kaleidoscope (2 hours) ◮ The Annular Strip Plane (30 min) ◮ The {3, 7} Plane (45 min)
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SLIDE 18
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Models and Homework
Models: ◮ The Dihedral Calculator (15 min) ◮ The Platonic Solids (45 min) ◮ The Tetrahedral Kaleidoscope (2 hours) ◮ The Annular Strip Plane (30 min) ◮ The {3, 7} Plane (45 min) Homework:
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SLIDE 19
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Models and Homework
Models: ◮ The Dihedral Calculator (15 min) ◮ The Platonic Solids (45 min) ◮ The Tetrahedral Kaleidoscope (2 hours) ◮ The Annular Strip Plane (30 min) ◮ The {3, 7} Plane (45 min) Homework: ◮ Groups, Symmetries, Isometries (7 q)
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SLIDE 20
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Models and Homework
Models: ◮ The Dihedral Calculator (15 min) ◮ The Platonic Solids (45 min) ◮ The Tetrahedral Kaleidoscope (2 hours) ◮ The Annular Strip Plane (30 min) ◮ The {3, 7} Plane (45 min) Homework: ◮ Groups, Symmetries, Isometries (7 q) ◮ Symmetries, Orbits, Stabilizers (7 q)
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SLIDE 21
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Models and Homework
Models: ◮ The Dihedral Calculator (15 min) ◮ The Platonic Solids (45 min) ◮ The Tetrahedral Kaleidoscope (2 hours) ◮ The Annular Strip Plane (30 min) ◮ The {3, 7} Plane (45 min) Homework: ◮ Groups, Symmetries, Isometries (7 q) ◮ Symmetries, Orbits, Stabilizers (7 q) ◮ Friezes, Tilings, and Solids (8 q)
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SLIDE 22
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Models and Homework
Models: ◮ The Dihedral Calculator (15 min) ◮ The Platonic Solids (45 min) ◮ The Tetrahedral Kaleidoscope (2 hours) ◮ The Annular Strip Plane (30 min) ◮ 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)
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SLIDE 23
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Models and Homework
Models: ◮ The Dihedral Calculator (15 min) ◮ The Platonic Solids (45 min) ◮ The Tetrahedral Kaleidoscope (2 hours) ◮ The Annular Strip Plane (30 min) ◮ 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)
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Weekly Workflow
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Weekly Workflow
Notice and Wonder: Monday 09:00 to Friday 17:00
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Weekly Workflow
Notice and Wonder: Monday 09:00 to Friday 17:00 Assignments: Wednesday 11:59 to Wednesday 11:59
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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.
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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.)
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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.) ◮ Do the readings.
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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.) ◮ Do the readings. ◮ Watch the weekly videos.
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SLIDE 31
@pgadey www.pgadey.ca
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.) ◮ Do the readings. ◮ Watch the weekly videos. ◮ Participate in the class.
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SLIDE 32
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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.) ◮ Do the readings. ◮ Watch the weekly videos. ◮ Participate in the class. ◮ Work on the homework.
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SLIDE 33
@pgadey www.pgadey.ca
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.) ◮ Do the readings. ◮ Watch the weekly videos. ◮ Participate in the class. ◮ Work on the homework. ◮ Learn some beautiful mathematics!
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Welcome and Good Luck!
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