Symmetry
Fractals & Such
Repeating Patterns
Spirals
Patterns in Chemistry and Biology
100

This type of symmetry occurs when an object can be divided into two mirror-image halves, like a butterfly or the human body.

What is Bilateral Symmetry?

100

This famous fractal set, named after a mathematician, shows infinitely repeating spirals and is often drawn in colors.


What is the Mandelbrot set?

100

Artist is famous for mathematical art that depicts turbulance

Who was Van Gogh?

100

This sequence begins 1, 1, 2, 3, 5, 8… and appears in pinecones, sunflowers, and shells.


What is the fibonacci sequence?

100

These two words describe molecules with the same formula but different 3D shapes, such as left-handed and right-handed sugars.


What are Booger Bisomers? I mean, Sugar Isomers

200

This type of symmetry repeats around a central point, as seen in starfish and some flowers.


What is Rotational Symmetry?

200

Examples in nature of branching fractals — they branch repeatedly in smaller and smaller patterns.

What are... trees, rivers, lightning, structure of the lungs?

200

These are the only regular polygons that can tesselate on their own. (Name one)

What are triangles, squares, and hexagons?


200

Many spirals in nature approximate this special number, about 1.618.


What is the Golden Ratio?

200

Tiger stripes and leopard spots emerge from these mathematical pattern-forming equations.


What are Turing patterns?

300

A snowflake’s sixfold design is an example of this specific rotational symmetry.

6-fold rotational symmetry

300

This term describes patterns that repeat at smaller and smaller scales, often infinitely.


What is self-similarity?

300

Bee honeycombs use this shape to create the strongest, most efficient tessellation.


What is a hexagon?

300

Pinecones and pineapples show these numbers in the spirals of their scales.


What is the fibonacci sequence?
300

This term describes how animals sense their own world through their species-specific perceptual “bubble.”


What is Umwelt?

400

This word describes symmetry in which each half is a mirror of the other, but the molecule or object cannot be superimposed on its mirror image.


What is Chiral or Chirality?

400

A pattern of repeating shapes that fit together without gaps or overlaps is called this.


What is tesselation?

400

The swirling, curling lines in Van Gogh’s Starry Night resemble this complex natural fluid behavior.


What is turbulence?

400

The ratio of successive Fibonacci numbers approaches this value.


What is the Golden Ratio?

400

The reason DNA’s double helix twists in a predictable way is related to this handedness-based concept.


What is chirality?

500

The left and right hands are classic examples of this symmetry-related property.


What is Chiral symmetry?

500

This is the irregular, chaotic motion of a fluid (like air or water) when smooth, steady flow breaks down into swirling eddies and vortices of many sizes.


What is Turbulence?

500

Monarch butterflies migrate thousands of miles following invisible atmospheric and magnetic cues—an example of this broad phenomenon of repeated movement.


What is migration?

500

In 1952, this mathematician proposed that chemical substances (which he called “morphogens”) could interact in such a way that stable patterns form on animal bodies as they grow.

Who is Alan Turing?

500

Vision sharpness is measured in this — approximately how many black-and-white stripes you can see on your thumbnail at arm’s length. Humans see about 60–70 CPD.

What is Cycles Per Degree?

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