The "Dimensions" dance piece sounds really interesting. Was it ever videotaped?
Even though we have already seen the video of the pendulum graphs, I found the discussion in the book helpful. From the video, I didn't really get a clear idea of exactly what we were seeing.
I didn't know that the radius of a stage light cone was equal to its height. Why don't they teach us useful things like that in high school?
I'm a little confused by the bottom picture on page 144. Which colors are "up," "down," and "in the middle"?
Is there any formula for a line (like the "intercept form" or the "slope-intercept" form) that doesn't miss some of the lines?
I had never though of a "tangent plane" before. Since there are tangent lines, I guess it should have been obvious.
I'm still slightly baffled by the elliptical waves, but it makes a little more sense now. For some odd reason, I feel like I understand the waves "inside" the sphere and the torus better than the waves in the plane. Weird.
Is there any way to visualize (or computer-generate) waves that a sphere would produce in four-space?
I think this chapter will be helpful to the groups in terms of considering dimensionality. I hope so, anyway.
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