Tag: equations

I was surprised it hatched at all. I had my eye on this chrysalis in my butterfly house. A normal chrysalis is a pale green smooth-to-the-touch cocoon with gold dots encircling the top. Out of the 50 butterflies I’ve raised, I’d never seen a chrysalis with black lines through it. I ho...

I’m all about simplifying! My mission: simplify life, goals, actions, relationships, and thoughts. No settling, just simplifying. I’ve successfully simplified complex concepts with visuals in this and this post, and they resonated strongly. Now, I’...

The answer is a bold yes, and there are a few ways that we can approach the problem. Mine might not be the fastest, but it is accurate for all chemical equations that do not include polyatomic decomposition. To elaborate on that caveat, a polyatomic on one side of the equation breaks apart...

Have you ever wondered how to encode a polygon as a single equation? Clearly, such an equation should be nonlinear, but it should not contain terms which are products of variables (x and y). Once we introduce terms involving products, we get curvature. It turns out that we can use an approach closel...

Have you ever wondered how to encode a polygon as a single equation? Clearly, such an equation should be nonlinear, but it should not contain terms which are products of variables (x and y). Once we introduce terms involving products, we get curvature. It turns out that we can use an approach closel...

In Part 2, I derived five generalised equations to describe the body of violin, based off Kevin Kelly’s Four Circles system. In this section, I will complete the generalisation of the violin outline by deriving expressions for the corners of the violin. Terminology Adherin...

In Part 1, I introduced a qualitative generalisation of Kevin Kelly’s Four Circle system of violin design. In this section, I will derive the general mathematical relationships that define the body of a violin. Terminology A note on the use of the word “body”. ...