Tuesday, September 29
Comment on Project Proposals and portfolio
sample entries.
Comment on Symmetry
in Music and Sound:
we discussed
Translation .... by an octave, relative position-- chords
Reflection
Rotation: thirteen notes in "chromatic" scale
Glide Reflection Space: How do we understand objects
in space?
How can the Flatlander experience the sphere and space?
Try making a torus with 2 and 1 piece!
Cross sections: We looked at the cube with cross sections : squares,
rectangles, triangles and hexagons depending on how the square passes
through the plane.
Shadows: We looked at how the cube might case shadows that were square, rectangular or hexagonal,
Fold downs- flattened figures: we saw how the cube cube be
assembled from folded down squares in two different configurations: a
cross or a "zig-zag." [Insert pictures?]
Platonic (regular convex polyhedra) and Archimedean
(semiregular convex) Solids- on the
web!
Why are there only 5? We looked at the possible ways to put a single
regular polygon together with more of the same to make a spatial "cap"
about a single vertex. This involved equilateral triangles (3,4, or 5),
squares (3) or pentagons (3).
This showed that there were at most five vertex caps possible. These actually do work to make