AweSums

Presentation Slides [2025]

Presentations for the lectures given by Prof Peter Lynch in the course AweSums are in two forms.

The files under "Presentation" are in full colour, with slide build-ups.
The files under "Print Version" are in Black and White.

The Presentation slides are best for viewing on-screen. The Print Versions are more compact.
They can be printed with multiple slides to a page, typically with six slides per sheet.

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Lecture	Content	Presentation	Print Version
0	Taster Lecture (20 August 2025)	PDF	PDF
1	Overview. Algorithms. Recreational Maths. A Piem.	PDF	PDF
2	Beginnings. Babylonian Numbers. Golden Ratio. Georg Cantor.	PDF	PDF
3	Nippur Tablet. Art & Maths. Champernowne's Number. Set Theory 1. Polar Coordinates.	PDF	PDF
4	Cutting the Plane. Polar Coordinates. Set Theory 2. Topology 1. Icosian Game.	PDF	PDF
5	Pythagoras. Noperthedron. Quadrivium. Pythag Theorem. Topology 2.	PDF	PDF
6	Astronomy I. Zebra Puzzle. Euler's Gem. Dual Polyhedra. Pascal's Triangle.	PDF	PDF
7	Astronomy 2. Patterns in Nature. Paper Sizes. Carl Friedrich Gauss.	PDF	PDF
7A	Extra: Music and Maths: Symmetry and Symbiosis.	PDF	N/A
8	Fractals. Prime Numbers. Sieve of Eratosthenes. Sources. Knot Theory.	PDF	PDF

Additional Links, Files, Etc.
Below are links to additional files relevant to the course.

Greek Alphabet (small letters): JPG
Wobbly Plate Video: 3gp
Plus Mathematics Magazine: html
Tom Lehrer Song: That's Mathematics: YouTube
Cuneiform Tablet from Nippur. For class exercise: JPG
Gresham College Lectures: link
Maths Week 2025: Recreational Maths Event: Eventbrite
QI: Stephen Fry Shuffles the cards. 52! You Tube
Quanta Magazine: Noperthedron. Click Here
Video on Raphael's School of Athens: video
The Khan Academy: LINK
Interactive Tonnetz: Click to Play

Extra Links, Files, Etc.

RTE: Murmuration Chasing: LINK
Boids algorithm to model murmurations: LINK
Starlink System: LINK
Joel D Hamkins on AI in Maths: LINK
Irrationality of &sqrt;2. Ode to Hippasus: LINK