Photographer Fritz Georg Mehner is the Edge of Humanity Magazine contributor of these images.  From the series ‘Autumn Geometry and Exact Arrangements’.  To see Fritz’s body of work, click on any photograph.

 

Autumn Geometry

 

Linden

 

Ruscus

 

Autumn Geometry 4

 

Ginkgo

 

Parrotia persica

 

Can a flat surface be covered without gaps by a repeating plant leaf? This question arises from a mathematical topic called tessellation. A tessellation is the gapless and overlap-free covering of the plane by one or more geometric shapes called tiles. Everyday examples are the floor parquet and bathroom tiles. In the case of plant leaves, it is not expected that an overlap-free arrangement can arise from a single leaf. However, one finds that overlaps can be used to create additional nets, festoons, grids, etc., which contribute to the composition in unexpected ways.

A next step is to experiment with arrangements of just a few copies of a leaf to create appealing graphics. Again, an essential point is to use exact displacements and rotations to get a geometric look.

 

Exact Arrangements

 

Linden

 

Exact Arrangements 9

 

Ginkgo

 

Ruscus

 

All images and text © Fritz Georg Mehner

 

 

See also:

Autumn colors

By Fritz Georg Mehner

 

 

Fritz’s Previous Contribution To Edge Of Humanity Magazine

Patterns

 

 

 

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