Beautiful Discovery with Nature's Patterns

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Beautiful Discovery with Nature's Patterns DeCODE nature's beauty. Beautiful Math, Code & Art. Deep looking through art and science. We offer Rekindle awe & wonder.

Get STEAM skills while discovering nature's beautiful patterns. Beautiful Discovery Box delivered to your door monthly.

09/10/2026

Creating a Ghost Image with Flashlight Mirrors

Can two flashlight mirrors create a perfect optical illusion?

09/06/2026

Chaos from deterministic simple transformation:

Xnext → R*X(1-X)

The "logistic equation" an iterated function with feedback (like a population dying off after depleting it's resources). Bob May discovered this in 1976, doing these x calculations without a fancy computer.

We start at x = .01 and R=2.9, and iterate the x transformation, then increase R slowly until R=4.

Surprisingly, perhaps, it is entirely deterministic, so they call it "deterministic chaos."

09/06/2026

Cube 🤝 Octahedron

How an octahedron hides in a cube.

It's a perfect fit, with beautiful symmetry.

A geometric dual in 30 seconds.

09/06/2026



09/02/2026

Polygon Mandala from Linear Motions

09/01/2026

Plinko board bell curve

08/31/2026

Wait for the transformation of tetra-angle and triangle to tree. They're all fractals.

08/29/2026

08/29/2026

Magnetic Field Lines in Scratch

08/27/2026

Magnetic Field Lines Made Simple

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