What fraction of these regular polygons is shaded red?
As a child, I remember working for a couple of weeks on a challenge set by my brother: In a snooker triangle there are 15 balls arranged in 5 rows. How many would there be in 100 rows? 25 years on, this is my response!
These images were created when working with students on using Logo to recreate the patterns in sunflowers.
I first drew this image when doing my PGCE, while thinking about the work of Caleb Gattegno and the power children have, from an early age, to make transformations. I've used this image in my teaching ever since; there are opportunities for considering transformations both within and between the four shapes.