Smoother Pebbles

I do not know what I may appear to the world, but to myself I seem to have been only like a boy playing on the sea-shore, and diverting myself in now and then finding a smoother pebble or a prettier shell than ordinary, whilst the great ocean of truth lay all undiscovered before me.
-- Isaac Newton

I use the basic principles of math and physics constantly. Can interactive web pages communicate these ideas more effectively than the textbooks or lectures I learned from?

The following pages contain interactive graphics. I try to make each page self-contained, so that in the page source (control-u or command-u in many browsers) you can see the svg graphics and javascript program you are interacting with, as well as the html+css. If you want to tinker with the source, clone a copy from github. If you have not found Explorable Explanations yet, try it for some similar experiences.

The following pages are non-interactive, because I could not think of a helpful way to illustrate them. Much of science and perhaps most of mathematics consists of abstract reasoning, after all. My goal remains to reduce an important subject to its clearest, simplest form, making it accessible to the widest possible audience. You must still work these things out for yourself in order to fully appreciate them. Perhaps you can view these as suggestions for puzzles that I found highly entertaining and profitable.