Factorization diagram card redesign: feedback welcome!

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.

About Brent

Associate Professor of Computer Science at Hendrix College. Functional programmer, mathematician, teacher, pianist, follower of Jesus.
This entry was posted in arithmetic, counting, pattern, pictures, primes, teaching and tagged , , . Bookmark the permalink.

6 Responses to Factorization diagram card redesign: feedback welcome!

  1. Denis says:

    Beautiful but I still disagree strongly with making the larger number be the smaller, harder-to-distinguish shape. 🙂

    • Brent says:

      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!

  2. Christophe says:

    Very pretty. Does the set of cards downloadable ?

  3. 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?

    • Brent says:

      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.

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