**Lecture 1**

**Lecture 1**

The Joy of Maths 1 **This is an updated and corrected version.**

Video links (some have adverts before to get to watch):

Sesame street: from fish to infinity

Cicadas and prime numbers

Achilles and the Tortoise – Zeno’s paradox

Links from the slides :

The first 1000 primes

The first 50 millions primes!

Find out more about prime numbers

Finfd out more about different number systems here

The Joy of Mathematics I Exercise 1

**Lecture 2**

**Lecture 2**

The Joy of Maths 2 Magic Squares **This is an updated and corrected version.**

The Joy of Maths 2a – Killer Sudoku

Links from slides:

Durers Magic Square

Magic Squares

Wikipedia’s Magic Squares

Making Magic Squares

Killer Sudoku

sudoku_cages Sudoku cages

The Joy of Mathematics I Exercise 2

**Lecture 3**

**Lecture 3**

Video links:

Topologist’s confusion between coffee cup and doughnut

The adventures of Wind and Mr Ug

The Klein bottle

Links from slides:

Euclid’s Postulates of Geometry

Geometry timeline

Types of labyrinth

Sacred geometry of Isalm

Topology

New National Library for Kazakhstan

Fortunatus’s Purse

and photos of the purse!

Polygons

Tesselations

Pentagons the tile the plane

Paisley patterns

M. C. Escher

and all about him from his official site

The mathematical art of Escher

The Joy of Mathematics I Exercise 3

**Lecture 4**

**Lecture 4**

Video links:

Unfolding the cube into Flatland

Unfolding the Hypercube into our space

Beyond 4 dimensions

Flatland: the film

TED talks:

Brian Greene: Making sense of string theory** **

Garrett Lisi: An 8-dimensional model of the universe

Links from slides:

Flatland: a Romance in Many Dimensions

The Hypercube

**Lecture 5**

**Lecture 5**

Video links:

Polygon song

Jim Olsen’s Archimedean Solids by Truncation, Rectification, Expansion and Snubification using Truncate, Expand, Snubify software

Demonstration of Wolfram Computable Document Format

Making an origami octahedron

Making an origami stellated octahedron

Links from slides:

Stella’s Polyhedra Bookcase

Polygons and Polyhedra

Platonic solids

Mathematician’s timeline

History of Polyhedra

Euler’s Formula link 1

and link 2

Polyhedral duals

Archimedean solids

Paper models and nets

Archimedean solids Wikipedia

Jim Olsen’s interesting properties of Platonic and Archimedean solids

Da Vinci’s Polyhedra

Paper Geodesic Domes

Goldberg polyhedron

New class of polyhedra article

Stellating Polyhedra

Kepler’s Polyhedra

Escher’s Polyhedra art

Origami Polyhedra link 1

and link 2

Wolfram CDF software

and demonstrations