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Week 8: Geometry in Nature

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Today we'll talk about the Golden Mean, Leonardo Bonacci (aka Fibonacci) and the importance of Arabic numerals, Euclid, Durer's writings on proportions, and da Vinci's Vitruvian Man.

We'll look at the many types of symmetry found in nature, including reflection and rotation (aka radial)

Mirror symmetry (aka bilateral or reflection symmetry) describes shapes or species that have symmetrical halves.

Chionoecetes - Wikipedia

Radial symmetry is different from mirror symmetry in that the shapes are repeated as they rotate around a central axis. Sometimes shapes or species have radial and mirror symmetry. (aka rotation symmetry)

Features Used to Classify Animals | Boundless Biology

Symmetry | Flickr - Photo Sharing!

Radial symmetry drawing based on the square:

Fractals: An object whose parts, at infinitely many levels of magnification, appear geometrically similar to the whole. They can be understood as never-ending patterns that are self-similar across different scales.

Fractal vegetable | Its a Romanesco broccoli up close and ...

I'll guide you through a series of drawing exercises using a compass and straight edge that will provide the basis of geometric pattern and design.

We'll first divide the circle into 3, 6, and 12

Part one: drawing with geometry

Divide the circle into 3:

Dividing the circle into 6:

Draw the 6 pointed star as basis for design



Drawing with rotational symmetry:

Square within a circle

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