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"Curiosities of Polyhedra" -- Open Lecture for High School Students

2014-8-12 (Tue) 10:00 a.m. - 12:00 noon

Polyhedra are solid figures that have been puzzled over since long ago. Even in ancient Greece BCE, the properties of polyhedra were already being investigated. While their shapes appear rather simple, the behavior of polyhedra is actually rather deep with a wide variety of curious properties. For example: "If you add the number of vertices to the number of faces and subtract the number of edges, you always get 2 [for any polyhedron]" or "All polyhedra have either triangular, quadrilateral, or pentagonal faces" or "There are only 8 polyhedra in which all of the faces are equilateral triangles." At first glance, you probably wonder, "Are these true?" and there are lots of properties like these. Even now the topic of polyhedra is a fascinating one for researchers.

This lecture will begin with the basic polyhedra, referred to as regular polyhedra, but will also introduce curious aspects of many other polyhedra such as deltahedra, parallelohedra, and rhombic polyhedra.

Date: 2014-8-12 (Tue) 10:00 a.m. - 12:00 noon
Venue: Room D307, Building D, School of Science, Toyonaka campus
Registration: Not necessary.
Contact: Mathematics Office, Graduate School of Science
kouhou@math.sci.osaka-u.ac.jp

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