Lesson Eight — Research Reports
a list of possible research project questions.
are some possible ideas:
other groups of polyhedra exist?
do you get when you connect the midpoints of the edges of the Platonic
do you get when you connect the points of the stellated polyhedra?
are the shapes of the different cross-sections of the Platonic solids.
are the shapes of the different shadows of the Platonic solids?
can you calculate the surface areas of the Platonic solids?
can you calculate the volumes of the Platonic solids?
do the surface areas of the Platonic solids compare to the surface area
of a sphere?
did Kepler use the Platonic solids?
significance did Plato give to his solids?
polyhdra can be close packed?
possible truss structures can be made from tetrahedra and octahedra?
are geodesic domes related to polyhedra?
kinds of polyhedra are naturally formed as crystals?
polyhedra are found in molecular structures?
is Buckminsterfullerine (Bucky Balls)?
polyhedra can be found in the art of M. C. Escher?
is the golden mean and how is it related to the Platonic solids?
students to do a research project.
can use the links on the www.PlatonicSolids.info
can search the web themselves (If they use the search engine on the site
above, it will restrict them to appropriate geometry sites.).
can build models and conduct their own experiments.
Open Microsoft Word Version
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