Near misses

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Joseph Malkevitch
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Near misses

Postby Joseph Malkevitch » Mon Dec 18, 2017 1:27 pm

Dear Colleagues,

Sometimes physical models and diagrams can deceive. The Johnson solids, convex 3-dimensional solids that have all faces regular polygons are 92 in number. (For this count one excludes the prisms, the antiprisms, the 5 Platonic solids, and the 13 Archimedean solids (using the definition that the isometries be transitive on the vertices). However, with physical models one can make "near misses." Sometimes the faces are warped and not flat, sometimes the faces are nearly congruent but not exactly congruent, etc.

This article mentions an example of Craig Kaplan for a near miss Johnson solid and lists other near miss kinds of examples.

http://nautil.us//issue/49/the-absurd/t ... real-world?

Regards,

Joe
Joseph Malkevitch
Department of Mathematics
York College (CUNY)
Jamaica, New York 11451

email:

malkevitch@york.cuny.edu

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http://york.cuny.edu/~malk

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