June 17 – World Tessellation Day

Posted on June 17, 2019

Tessellations are one of my favorite math things. 

And art things.

Artist M. C. Escher is considered a master of tessellations.
Actually, that's why June 17 was chosen as World Tessellation Day;
today is Escher's birthday! (See "Also on this date" below.)

And tile things.

Zellige terracotta tiles in Marrakech

Tessellations are arrangements of shapes that fit together in a repeated pattern, with no gaps between shapes, and with no overlapping.

Tessellations can even be seen in nature (although they tend to be a bit imperfect).

Honeycomb is made of repeated hexagons

Snake scales

The top of basalt columns - imperfect hexagons -
that make up California's Devil's Postpile

World Tessellation Day was created by author / illustrator Emily Grosvenor. Check out her website.

The Exploratorium offers tessellation exploration here.

And there are lots of other tessellation projects offered online, such as this Wikki Stix offering. 

Check out this earlier post.

Tessellations can apparently be non-Euclidean...three-dimensional...or fractal!

Also on this date:

Eat Your Vegetables Day 

Iceland's National Day

Artist M. C. Escher's birthday

Stewart's Root Beer Day

Anniversary of the “discovery” of muskoxen

Bunker Hill Day

World Day to Combat Desertification

Father's Day in Guatemala and El Salvador

National Garbage Man Day

Plan ahead:

Check out my Pinterest boards for:

• June holidays

• June birthdays

• Historical anniversaries in June

And here are my Pinterest boards for:

• July holidays
• July birthdays
• Historical anniversaries in July
  
  
  

June 17 – Happy Birthday, M. C. Escher!

Posted June 17, 2013

Why are there so many pictures by artist M. C. Escher in Harold Jacob's mathematics textbooks?

I personally have seen exactly zero pictures by Rembrandt, Leonardo da Vinci, or Claude Monet in a math textbook—and they were pretty good artists! What makes Escher so popular with math-textbook writers?

Escher's work is a great combination of mathematics and art. His art pieces explore mathematical concepts and stretch our minds in the process.

When Escher draws knights on horseback, they fit together in tessellations, which is a mathematical pattern that fits shapes together in a process like tiling. 

When he draws a boy looking at a piece of art, in the background of that piece of art...is a boy looking at a piece of art. The strange loops or infinite regressions that Escher created in his art speak about the mathematical concept of infinity. 

Escher also creates worlds that seem impossible—worlds in which water flows downhill but in a loop, worlds in which gravity pulls every which way, instead of only down, worlds in which ants walk forever along a Mobius strip.

Of course, the physics of the universe, it turns out, is stranger than we ever thought possible, so who knows what deep truths these “impossible” pictures hold for us. I will say that the impossible people walking upside-down and topsy-turvy look a lot like astronauts in space!

Check out the connection between math and Escher's art here.

Zoom in on the infinity of an Escher print here.

And enjoy the variety of Escher drawings and woodcuts here.

Also on this date:

Stewart's Root Beer Day 

Anniversary of the “discovery” of muskoxen

Bunker Hill Day

Plan ahead:

Check out my Pinterest pages on June holidays, historical anniversaries in June, and June birthdays.

And here are my Pinterest pages on July holidays, historical anniversaries in July, and July birthdays.