I enjoy comparing the two to see the minor differences, switched ships and aliens.
But the big difference is that the woman got sent back to her room by Dad: "Young Lady! You are NOT going out like that!"
Space Opera in the shop:
The British mathematician James Joseph Sylvester, who lived from 1814 to 1897, was one of the first to dig deeply into the beautiful patterns you can form using finite sets. But he got into lots of trouble.
For example, he entered University College London at the age of 14. But after just five months, he was accused of threatening a fellow student with a knife in the dining hall! His parents took him out of college and waited for him to grow up a bit more.
Later, at the age of 27, he went to the United States and became the chair of mathematics at the University of Virginia in Charlottesville. After just a few months, a student reading a newspaper in one of Sylvester's lectures insulted him. Sylvester struck him with a sword stick. The student collapsed in shock. Sylvester thought he'd killed the guy! He fled to New York where one of his brothers was living.
Later he came back. According to the biography I'm reading, "the abuse suffered by Sylvester from this student got worse after this". Soon he quit his job.
One thing I like about Sylvester is that he invented lots of terms for mathematical concepts. Some of them have caught on: matrix, discriminant, invariant, totient, and Jacobian! Others have not: cyclotheme, meicatecticizant, tamisage and dozens more.
Sylvester defined a duad to be a way of choosing 2 things from a set. A set of 6 things has 15 duads. A hypercube has 16 corners. This picture by Greg Egan shows a hypercube with 15 of its 16 corners labelled by duads. The bottom corner is different.
This may seem just cute, but in fact it can help you visualize a rather wonderful fact: the group of permutations of 6 things is isomorphic to the symmetry group of a 4-dimensional symplectic vector space over the field with 2 elements.
For details, read this:
I quoted this biography of Sylvester:
Pulp magazine cover artist Earle K. Bergey (August 26, 1901 – 1952) was renowned for his pictures of glamourous space maidens in impractical outfits, but it would be fair to say he enjoyed painting the female form whatever the setting. He was one of the mos...
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