Math Patterns in Nature series: Why the Natural World Looks the Way it Does. #2 SYMMETRY

in #math7 years ago (edited)

In this @beesteem series I'll introduce you to some fascinating patterns that you can find in nature and art. Those patterns may consist of symmetry, tree structures, spirals, meanders, waves, or stripes. Lot's of possibilities.

Today we will discuss SYMMETRY. Behind the beauty one can find an intriguing mathematical pattern!

What are examples of symmetry in nature? Do you recognize symmetry in these?

.
.
or this nice one:

peacock symmetry.jpg

The math behind symmetry

The two main types of symmetry are:

  1. reflective
  2. rotational.

Reflective symmetry - mathematics

Reflective symmetry is like standing in front of a mirror: A cut between two parts is showing the other part too. For example a Butterfly (wings) have a reflective symmetry:

butterfly.png

Rotational symmetry - mathematics

Rotational symmetry means that the object or image can be turned around a center point and match itself some number of times (as in a five-pointed star). For example, a snow flake:

snowflake.jpg

There are also other rotational examples with different rotation angles found in nature::

Flowers shows rotational symmetry

C5_2_flower.jpgD3_flower.jpg

Honeycomb show octahedral symmetry

honeycomb.jpghoney comb symmetry .png

And also in the seas: jellyfish, seastar

seastar.jpg
image9.gif

image5.gif

Survival of the fittest? No survival of the one with most symmetry!

We are naturally attracted to symmetry. Research indicates that we consider a face beautiful when the features are symmetrically arranged. We are drawn to even proportions. Also animals choose mates on the basis of symmetry

hands.jpg

images.jpg

8A2204C5-31EA-4F17-AE0A-718F5E9B42E3.JPG

Bee Safe!
@beesteem

Link to other math patterns posts :

  1. SPIRALS https://steemit.com/science/@beesteem/math-patterns-in-nature-series-why-the-natural-world-looks-the-way-it-does-1-spirals
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I like the jellyfish part :-0

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