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Pi Day
Pi Day: Artistic Pi
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Mathematical art and artistic mathematics

Like music, there are some deep connections between art and mathematics. Both disciplines require spatial reasoning skills and the ability to recognize patterns.

Mathematics itself has been described as an art motivated by beauty. Many prominent artists throughout history have also been mathematicians or have explicitly used mathematics in the creation of their art. These include Leonardo da Vinci, Wassily Kandinsky and, more recently, M. C. Escher and Ada Dietz.

An example of a weaving pattern based on algebraic expressions designed by Ada Dietz. The image is used under fair use.
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For a fascinating look at the relationship between mathematics and various fiber arts like quilting, knitting, crocheting, and weaving, visit Mathematics and fiber arts.

Learn more about Pi in part 1 of this Nerd Out series.

But it is not just famous painters who were inspired by mathematics. Mathematics can be seen in art and architecture from around the world.

The art of the Southern African Ndebele tribe is famous for its use of geometric designs and mathematical symmetry. The image is released under a CC-BY-SA 3.0 license.

A mural in the Alhambra or Red Castle in Granada, Spain, depicts detailed mathematical tessellations. The image is released under a CC-BY-SA 2.0 license.

Some simple connections between mathematics and art include use of the Golden Ratio, symmetry, perspective, and the Law of Thirds, the general rule of thumb about how to proportion different elements in a painting or photograph.

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Learn more

To learn more about the deep relationship between art and mathematics, read the article Mathematics and Arts: A Wonderful Marriage. Here you will also find numerous examples or how mathematics and art complement each other.

The shape of π

The mathematical constant pi has been used to create some amazing pieces of art. Some of these are more literal depictions of the symbol for pi (π) while others are visualizations of its digits.

A “Pi-Casso” depiction of the symbol π. The image used under fair use.

A visualization of the first 13,688 digits of π spiralled out from the center by Martin Krzywinski. The image used under fair use.

This video further explores Martin Krzywinski's work in more detail.

Are you ready to try your hand at creating your own π inspired art? If you need some inspiration, here are two websites that take you into the creative process of some other artists.

  • The hidden beauty of Pi
  • The Beauty of Pi

When you are done, share your masterpiece at #NextEngineersDIY.

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Watch the video Plotting Pi and Searching for Mona Lisa (9:57) to see how Matt Hendersen uses the digits of π to make some extraordinary visualizations of π.

Pi Day

Part 5: Remembering Pi

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Pi Day

Part 7: Delicious Pi

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