Hexagon and parametric spiral play. I find myself doodling with code lately more than with my pen. I have one more scripting algebra post, but feel like I have a much larger library for a pre-calc set of activities. Thoughts?
The GIF is too large for this site or twitter, so I stashed it on my photography site here.
Here are some simple animations with parametric equations. What you see below is a function and its inverse. If you click, you will get another semi-random equation.
I couldn’t resist this GIF for my algebra students. Foiling can be such fun!
My daughter started playing with moiré in procreate after I fiddled with it in a previous post. You know we breathe math in our home. She wanted to share:
I received a question today about what curve is parallel to a parabola. I sat for a minute and realized that it wasn’t another parabola. It required parametric equations (at least if you wanted to keep it simple). That of course lead to code:
The parametric equations for the parabola are:
- x = 2at
- y = at2
The parallel curve equations are:
- x = 2at+ct/sqrt(1+t2)
- y = at2 – c/sqrt(1+t2)
So I doodled and was pleasantly surprised when Sierpinski-like triangles formed. I am sure that a million people have discovered this before me, but I felt like I found a magic portal.
And that lead to coding (of which is currently a mess, and I will post later).
And one more version: