Welcome to MAT 402 Introduction www.pgadey.ca Textbook @pgadey - - PowerPoint PPT Presentation

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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 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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@pgadey www.pgadey.ca

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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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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@pgadey www.pgadey.ca

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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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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@pgadey www.pgadey.ca

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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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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@pgadey www.pgadey.ca

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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@pgadey www.pgadey.ca

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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@pgadey www.pgadey.ca

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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@pgadey www.pgadey.ca

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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@pgadey www.pgadey.ca

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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@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.)

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@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.

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@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.

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@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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@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.

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@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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@pgadey www.pgadey.ca

Welcome and Good Luck!

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