Locomotive Rose Art

The equations used to produce these plots are in the family of rose curves. This particular form is composed of two curves added together. It almost feels like there is some locomotion happening in the visualization, and it is fun to think about the gears and shafts might that make this pattern. r = a …

Locomotive Rose Art Read More »

Parabolic Beams

I love thinking of parabolas as being formed with a directrix and focus. Coming from a background in trajectory analysis, I find the abstract relationships of the curve to the point and line beautiful. When a light shines through the focus of a parabolic mirror, the light reflected is orthogonal to the directrix – WOW! …

Parabolic Beams Read More »

Parametric Waves Morphed into Unstable Charcoal

Have you ever wished that you had charcoal that is made of particles that randomly leave and come back? Wish the reference frame would rotate so down is up, but not always? Well now you have what you have always wanted – Unstable Charcoal! I created this after playing with a parametric wave visualization. This …

Parametric Waves Morphed into Unstable Charcoal Read More »

Code of the Rings

While tinkering with my tree ring code, I created a simpler yet mesmerizing adaptation. Essentially I added a loop, some random multipliers, and changed to radian mode. Sine and cosine are so incredibly beautiful and full of infinite play and wonder. Please play with the code below by clicking to change the equation. If you …

Code of the Rings Read More »

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 …

The Point? Dimensions Read More »

Follow Me

Get new content delivered directly to your inbox.