This unit is for students who are very advanced and willing to persevere and play and explore in depth. The tasks don’t depend on students having done advanced concepts as much as being really mathematically inclined. The mathematics isn’t sophisticated as much as beautiful and plentiful. If iterating endlessly or exploring the special world of Pythagorean triples, primes and transcendental numbers appeals, then this is the unit to set them on their way.

Pythagorean Triples

To  Cycle or Not to Cycle

Separate and Sqaure

Separate and Cube

Trancendental Pi

Transcendal Chapernowne

Feigenbaum's Number

Transcendental Top Fifteen

Primarily Primes

Pattern in the Primes


Bibliography: A list of the books which have served to inspire tasks within the EUMY Mathematics set.

Acknowledgements. The author would like to acknowledge the invaluable assistance of her mathematical models who appear throughout these tasks:

Epsilon-pi and Smidgin Ubiquitous

We call them Epsi and Smidge!