- Your assignment on Geometry is due today.
- Links: Borromean
Rings:
- "Is it possible to link three rings together in such a manner that they are indeed linked, yet if we remove any one of the rings the other two become unlinked?"
- Yes!
Standard diagram of the Borromean rings
A realization of the Borromean rings as ellipses
Coat of arms (of the municipality of Hallsberg, Sweden) showing padlocks in Borromean rings configuration
(Thanks Wikipedia!) - icosahedra, golden rectangles, and interlocking rings! (see page 381)
- Section 7.6: Mindscapes #5, 6, 9, 23, 26 (type up #22)
Due Monday, 10/27
- Some statistics:
- The average American has one testicle and one ovary.
- The average income for a Lakeside School graduate was $2.5 million (in 1997)
- What's in a mean?
- Let's try a different measure of "central tendency":
The median American has no testicals and two ovaries. - What's in a measure of center?
- Visual display of data:
- What's not in a mean or median? Spread, or variation
- Heights of our class
- Heights of people tend to be normally distributed (if distinguished by sex); otherwise, if the sexes are combined, you might expect a bi-modal distribution
- Normal distributions arise quite naturally (hexstat)
- Cars
- How do we quantify variation?
- "The mean difference from the mean" is one way....
- Standard deviation is another. This is a "typical deviation" from the mean, or a "standard deviation"...
- Some other innovative, ingenious, imaginative visual displays of data
