# From the Void

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.

See the Pen abNXXer by Sophia (@fractalkitty) on CodePen.

# Parametric Play!

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.

See the Pen qBZgZvW by Sophia (@fractalkitty) on CodePen.

# Expanded

With commas:

Without commas:

# Foiled by a Foil

I couldn’t resist this GIF for my algebra students. Foiling can be such fun!

# MoirĂ© GIF: by Opal

My daughter started playing with moirĂ© in procreate after I fiddled with it in a previous post. You know we breathe math in our home. She wanted to share:

# Parallel to a Parabola

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:

See the Pen jOqzMJb by Sophia (@fractalkitty) on CodePen.

The parametric equations for the parabola are:

- x = 2at
- y = at
^{2}

The parallel curve equations are:

- x = 2at+ct/sqrt(1+t
^{2}) - y = at
^{2}– c/sqrt(1+t^{2})

# Menger Sponge Cat in Space

High res:

Low res:

# Hex-a-Sierpinski

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: