I made a synesthetic math toy. You can find it here.
I'm interested in synesthesia. Many synesthetics see colors, shapes, and motion when they look at numbers. I decided that it would be interesting to see what a math toy that duplicated that effect would be like.
The toy I created doesn't attempt to closely simulate any kind of synesthesia, partly due to the limitations of working on a flat screen and partly because I developed it in a weekend. However, the dancing, colored, trailing numbers are reasonably similar to the sorts of things a synesthetic person might see.
My question was simple: how are numbers and math different if the numbers "speak" to you?
When you try the toy out, you may be very confused initially, but that's to be expected. Try playing with it enough that you begin to get used to the numbers, what the various permutations mean. There is no randomness in their colors or activities.
Let me know what you find, keeping in mind that this toy is definitely just a toy.
Caveats: it's untested. I made it in a weekend. There are no alternate sizes, use your browser's zoom function if it's the wrong size.