ESCHER AND POLYHEDRA
 

By: Lindsay Allen

While Escher is greatly known for his fabulous tessellations, he also worked closely with polyhedra. Many of his works feature polyhedra, like the ones below.

     
This 1943 lithograph entitled Reptiles features a dodecahedron. Here, Escher uses a small stellated dodecahedrons in his 1952 lithograph and watercolor Gravity, above, and in his 1950 lithograph Order and Chaos, below. This stella octangular is featured in this 1949 wood engraving entitled Double Planetoid.

 

 
One polyhedra, in particular, that seems to appear most often in Escher's work is the first stellated rhombic dodecahedron. It appears at the top of the right tower in his 1961 lithograph Waterfall, to the left, with a compound of three cubes atop the left tower. It is also featured in his 1948 woodcarvings Study for Stars and Stars. Both Study for Stars and Stars contain many different polyhedra besides the first stellation of the rhombic dodecahedron.

 

 

Escher's Stars, seen at left, could be used as a teaching tool because it contains MANY different polyhedra. The most obvious is the first stellated rhombic dodecahedron. There is also solid and edge models of

The wood engraving also features


Links

The following links were instrumental in creating this website.

http://www.georgehart.com/virtual-polyhedra/escher.html

http://www.mcescher.nl/indexuk.html

http://www.worldofescher.com

http://www.mathworld.wolfram.com

The following links are fun and loosely related.

http://www.lipsons.pwp.blueyonder.co.uk/escher/relativity.html

http://www.lipsons.pwp.blueyonder.co.uk/escher/ascending.html

http://www.lipsons.pwp.blueyonder.co.uk/escher/ascending.html


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