# The Point? Dimensions

“The Point of Evolution” started as a Mathober doodle and led to this GIF.

Dimensions are fun – what do you see? what do you notice?

Side Note: I talk about dimensions when covering combining like terms. One analogy – A 3D banana can’t combine with a 2D banana (or whatever noun seems to go with the variable you have). We have fun with expressions using various animals/objects and their dimensions. Variables (things) and their exponents (dimensions) need to match to be able to combine them.

With commas:

Without commas:

# Foiled by a Foil

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

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 = at2

The parallel curve equations are:

• x = 2at+ct/sqrt(1+t2)
• y = at2 – c/sqrt(1+t2)

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:

# Coffee = Donut

I know it is an obvious one, but it’s what I doodled tonight…