After getting a printed set of factorization diagram cards, I decided there were a few design tweaks I wanted to make. I’ve gone through a few iterations and I think they are definitely better now. Here are some representative samples (namely, 6, 13, 21, 29, and 30):
The changes I made include:
- Better color scheme (at least I think so!)
- Primes now have a visual representation that does not depend on color (though the color is still meaningful). For example, 29 is represented by an outer shell with two half-circles (representing the 2) and a trio of triangles (representing 9, that is, three threes).
- The triangle representing 3 is flipped upside down so it never intersects with anything.
I’d love to hear any and all feedback! Modulo any final tweaks I plan to make sets available for purchase soon.
The Math Less Traveled 
Beautiful but I still disagree strongly with making the larger number be the smaller, harder-to-distinguish shape. 🙂
Oh, for composite numbers the set of cards actually includes one card for each distinct permutation of the prime factors! So for example 6 and 21 both have two cards, the other of which I think you will like better, and 30 has 6 different cards!
Very pretty. Does the set of cards downloadable ?
Thank you! And yes, they will be downloadable, as soon as I finalize things.
Pretty indeed! Maybe for consistency with the triangle you could rotate all n-gons so the circles line up with the edges instead of the vertices?
I actually tried that, but thought it didn’t look as good. Something about the shape of the negative space between the n-gons and the dots was weird. But maybe I should post a few examples so you can judge for yourself.