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Mathematical Surprises [2022]

1
The Collapsing Compass
2
Trisection of an Angle
3
Squaring the Circle
4
The Five-Color Theorem
5
How to Guard a Museum
6
Induction
7
Solving Quadratic Equations
8
Ramsey Theory
9
Langford’s Problem
10
The Axioms of Origami
11
Lill’s Method and the Beloch Fold
12
Geometric Constructions Using Origami
13
A Compass Is Sufficient
14
A Straightedge and One Circle is Sufficient
15
Are Triangles with Equal Areas and Perimeters Congruent?
16
Construction of a Regular Heptadecagon
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