I’ve done a few math experiments here and there, mostly pertaining to the Lattice. The lattice is a method of multiplication that uses a kind of grid. It was in vogue in the Elizabethan era, though I’ve used it a few times myself.
I originally created a page demonstrating a Lattice as a means of experimenting with the combined markup language XHTML 1.1 Plus MathML 2.0 Plus SVG 1.1—in particular, XHTML and SVG—as well as to experiment with and demonstrate this method of multiplication.
Later on, I created a second page to use the lattice to find the Lowest Common Multiple of every number from 1-100. The number: 69,720,375,229,712,477,164,533,808,935,312,303,556,800!
Neither of these are the original webpages. When I first created them, I barely knew how SVG worked and was ignorant of most of its features, so those old versions were poorly coded and had serious code bloat.
It’s amazing how sometimes the most obvious things can elude you.
It was only when doodling with the Pythagorean Theorem (a² + b² = c²) that it dawned on me that the famous equation could be rewritten as the square of a linear equation (a² + 2ab + b² = (a+b)² ).
Fascinated by this, I coded this webpage to explore, describe, and demonstrate that in a bit more detail.
I was bored, and I had a calculator to play with.