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Recreational Maths
by Terry Tam
# Recreational Maths

## Magic Tricks

### Handcuff Puzzles

### Linking Paperclips

### Human Knots

### Large Hole in a Small Piece of Paper

### Mobius Strips

## 3-Switches Puzzle

## Speed Arithmetics

### Algebraic Identities

### 24 Game

### Visual Aids

## Coconut and Monkey Puzzle

## Number Patterns

### Polygonal Numbers

### Pascal's Triangle

### Fibonacci Number

## Magic Squares

### 2n-1

### 4n

### 4n+2

## 7 Elevators Stop at 6 Floors

## Weighing a Counterfeit Coin

### 1 Fake Coin in 9 Coins, Lighter/Heavier Known

### 1 Fake Coin in 9 Coins, Lighter/Heavier Unknown

### 1 Whole Pile of 10 Piles of Coins Lighter/Heavier

### Unknown Bottle(s) of 10 Bottles of Pills Lighter/Heavier

## River Crossing Puzzles

### Bridge and Torch Problem

### Missionaries and Cannibals Problem

### 4 Jealous Husband Problem with Island

### Fox, Goose and Bag of Beans Problem

### Father, Mother, 2 Sons, 2 Daughters, Policeman and Thief Problem

## Optimization

### Stable Marriage Problem

### Secretary Problem

### Geometrical Optimization

## Mathematical Background

### Graph Theory

### Modular Arithmetic

### Divisibility Rule

### Number Systems

### Geometry

### Geometrical Transformation

### Topology

## Rigid Braced Framework

## Chessboard-related

### Tiling Dominoes

### 15-Puzzle

### Knight Tour

### 8-Queen Puzzle

## Cube-related

### Langford Problem

### Instant Insanity

## 3 Utilities Puzzle

## Paradoxes

### Missing Dollar Riddle

### Missing Square Puzzle

### Inheriting 17 Horses Paradox

## Origami

### Flexagon

### Cootie Catcher

### Polyhedra

## 9 Dots Puzzle

## Josephus Problem

## Alternative Proofs

### Dissection Proof

### Combinatorial Proof

## Kirkman's Schoolgirl Problem

## Social Golfer Problem

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This is just a demo map that you can delete right away, if you feel like it...

5.5.5.1

3.3.8.8

Napier's Bones

Visual Multiplication

Triangular Number

Square Number

Heron's Shortest Path Problem

Building Bridge Problem

Fagnano's Problem

Shortest Fence for Halving Triangular Field

Bipartite Graph

Hamiltonian Path/Cycle

Planarity

Chinese Reminder Theorem

Euclidean Algorithm

Binary

Decimal

4 Centers in a Triangle

Monge's Circle Theorem

Pythagoras' Theorem

Reflection

Translation