Lecture and workshop in Lowicz, Poland. Feb. 04.
XIII National Conference of the Polish Association of Teachers of Mathematics
An ongoing workshop was open 24 hours a day for three days, where people could share and explore many types of hands-on math games, puzzles, geometric model making of all kinds, paper cutting, and folding circles. | |||||||
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Participants in groups of four folded and joined four circles into a spherical vector equilibrium. Here the groups are trying to figure out how to arrange four spheres to form a tetrahedron pattern. |
Below:
the arrangement shows the two-frequency tetrahedron revealed in the
relationship of the center points of the four tangent spheres. The
octahedron is the space between the spheres defined by the six points
of connection, making a total of 10 points defining the full
tetrahedron arrangement. They observed that all four spheres have to be
consistantly in the same orientation. They found much to think about in this arrangement of the closest packing of spheres.
Photos by Margaret Fryska
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