Abstract
Ever since Euclid, generations of learners have been astonished by the level of insight we can gain into the basic shapes of the world around us, starting with a few observations and basic principles. Isn’t it amazing that you can draw any triangle you want on a flat piece of paper, not telling me anything else about it, and yet I will know that the sum of its angles is precisely 180 degrees? You probably learned that fact in school, but unless you were very lucky or had an especially talented teacher, your textbook sucked all the joy out of it. Here we focus on a small set of geometry-related topics that I still enjoy, decades after my high school class on the topic.
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Image used with permission under the Creative Commons Attribution-Share Alike 3.0 Unported license; original found here: https://commons.wikimedia.org/wiki/File:Morley_triangle.svg . Copyright user Hagman.
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Sourced from Wikimedia Commons at https://commons.wikimedia.org/wiki/File:Penrose_Tiling_(P1).svg . Released into public domain by owner, user Inductiveload.
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Image used with permission under the Creative Commons Attribution-Share Alike 3.0 Unported license; original found here: https://commons.wikimedia.org/wiki/File:Embedded_pentagrams_(thick,_transparent).png . Copyright user KovacsUR.
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© 2016 Erik Seligman
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Seligman, E. (2016). Getting Geometric. In: Math Mutation Classics. Apress, Berkeley, CA. https://doi.org/10.1007/978-1-4842-1892-1_3
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DOI: https://doi.org/10.1007/978-1-4842-1892-1_3
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Publisher Name: Apress, Berkeley, CA
Print ISBN: 978-1-4842-1891-4
Online ISBN: 978-1-4842-1892-1
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