Product ID: Student Research Corner

Supplementary Print

High School

Geometry has dramatically
evolved from metrical
work (measuring lengths,
angles, areas and perimeters)
involving polygons and curves
(circles and ellipses) that was
initiated in many cultures but is
often associated with the names
Euclid, Archimedes, and Pappus.
More attention has been given by
geometers in recent times to
combinatorial ideas. Though in
many ways there is less overhead
in working with the point and line
diagrams known as graphs (see
Figure 1a) than using the axiomatic
approaches one sees in Euclid,
combinatorial ideas entered
mathematics much more recently.
The problems discussed below
involve 3-dimensional bounded
convex (no holes, notches, tunnels)
polyhedra, but grow out of a
graph theory (dots and lines) point
of view).

©2020 by COMAP, Inc.

Consortium 118

4 pages

- Geometry

- Geometry

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