__The List of Carom Activities__

Probably best to right click on link and then save to your computer.

Year 1

Carom 1-1: Geodesics

Topic area: Geometry

Carom 1-2: Inequalities

Topic area: Algebra

Carom 1-3: Coincidences

Topic area: Probability

Carom 1-4: The Least Road Problem

Topic area: Optimisation

Carom 1-5: Kites and Darts

Topic area: Geometry

Carom 1-6: Perfect and Mersenne Numbers

Topic area: Number Theory

Carom 1-7: The Overlapping Circles

Topic area: Geometry

Carom 1-8: Repunits

Topic area: Number Theory

Carom 1-9: Siders

Topic area: Geometry

Carom 1-10: Buffon's Needle

Topic area: Probability

Carom 1-11: Curves of Constant Width

Topic area: Geometry

Carom 1-12: Multiple-free Sets

Topic area: Number Theory

Carom 1-13: Descent

Topic area: Number Theory

Carom 1-14: Wallpaper Patterns

Topic area: Geometry

Carom 1-15: Adding again and again...

Topic area: Ergodic Maths

Carom 1-16: The Distribution of Prime Numbers

Topic area: Number Theory

Carom 1-17: Infinity

Topic area: Set Theory and logic

Carom 1-18: Hyperbolic Geometry

Topic area: Geometry

Carom 1-19: The Propositional Calculus

Topic area: Logic

Carom 1-20: The Mandelbrot Set

Topic area: Complex Numbers

Year 2

Carom 2-1: The Game of Life

Topic area: Dynamical Systems

Carom 2-2: Mapping a set to itself

Topic area: Sequences

Carom 2-3: Pearl Tilings

Topic area: Geometry

Carom 2-4: Tangles

Topic area: Algebra

Carom 2-5: What are you implying?

Topic area: Logic

Carom 2-6: Conics

Topic area: Geometry

Carom 2-7: The Four Colour Problem

Topic area: Topology

Carom 2-8: V, S and E

Topic area: Geometry

Carom 2-9: The Logistic Map and Chaos

Topic area: Dynamical Systems

Carom 2-10: Inversion

Topic area: Geometry

Carom 2-11: Quadratic Reciprocity

Topic area: Number Theory

Carom 2-12: Hikorski Triples

Topic area: Number Theory

Carom 2-13: Triangle Centres

Topic area: Geometry

Carom 2-14: The ABC Conjecture

Topic area: Number Theory

Carom 2-15: Elliptic Curves

Topic area: Geometry

Carom 2-16: Triominoes

Topic area: Complex Numbers

Carom 2-17: Zeroes of a Recurrence Relation

Topic area: Sequences

Carom 2-18: Cyclotomic Polynomials

Topic area: Complex numbers

Carom 2-19: Could Pi be 3?

Topic area: Geometry

Carom 2-20: The Cross-ratio

Topic area: Geometry/complex numbers