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Not-so-Curvy Curves on Not-so-Curvy Surfaces: Understanding the Gauss-Bonnet Theorem
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Classroom Contents
Deeper Dives into Mathematics
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- 1 Using Symmetry to Your Advantage: Some Classic Problems in New Light
- 2 David Wilson's Curious Divisibility Graph -- and more!
- 3 Surprising Algebra in Geometry
- 4 Are Complex Numbers Forced Upon Us? Multiplication in High Dimensions
- 5 The Triatic Formula: Having Quirky Fun making things Quadratic, Triangular
- 6 Not-so-Curvy Curves on Not-so-Curvy Surfaces: Understanding the Gauss-Bonnet Theorem
- 7 A Math Mystery for Young Mathematicians
- 8 Dots in a Circle and Parentheses Numbers: A Sneaky Way into the Catalan Numbers
- 9 Fractions Take Up No Space on the Number Line (Whoa!)
- 10 Bee Numbers and the Power of Honeycomb! (via Seven Puzzles)
- 11 My Favourite Number Tree (and the sqrt(2) and weird binary, and more!)
- 12 An Astonishing Property of the Hemachandra Numbers (and the primes, and the non-squares, and more!)
- 13 Theon's Ladder, Squangular Numbers, International Paper, and more!
- 14 Sums of Powers Formulas
- 15 Sums of Powers: Part II. Proving the Whacky Integration Technique from part I (if you are game!)
- 16 Lattice Points in Circles: A curious puzzle
- 17 Partially-Filled Latin Squares and Semi-Magic Squares: A Follow-Up Video
- 18 Card Pile Mathematics and Semi-Magic Squares
- 19 Archimedes' Law of Lever
- 20 A Golden Ratio Surprise
- 21 How Archimedes First Deduced the Volume of a Sphere
- 22 A Surprising Appearance of Euler's Famous Formula: V- E + F = 2
- 23 How Round is a Cube? (Answer: Just as round as a sphere!)
- 24 Tie Folding and a link to Artin's Conjecture
- 25 Gender Balance Puzzle
- 26 The Citardauq Formula
- 27 Egg Dropping: Going beyond just solving the classic puzzle
