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Theron Hitchman
Works at University of Northern Iowa
Attended University of Michigan
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Theron Hitchman

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Thurston's The Geometry and Topology of Three-Manifolds

The following page has a LaTeXed version of this famous set of notes (~380 pages!), previously unpublished except for an expanded version of the first few chapters.

http://library.msri.org/books/gt3m/

The picture is from the last chapter, on orbifolds.

#Thurston   #geometry  
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7.4 cents per day to be exact. That is what the new student course plan for SageMathCloud costs a student at $9 total for four months of members-only hosting, with network access, 1 GB of RAM and 3 GB of disk storage. As an instructor you get all the advantages of assigning, collecting, marking, ...
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Theron Hitchman

Knot Theory: Images and Video  - 
 
I made it myself! 😀
 
I have been playing with knots and learning about the bridge number. Today I found a way to present the cinquefoil, knot 5_1 in the standard table, as a 2-bridge knot.

Those bridges are the long arcs between the pieces of scotch tape, where every crossing goes underneath the arc. This knot has two bridges, and that is the smallest number you can make work in this case.

That this is a 2-bridge knot has been known for a while. I was just trying to figure out for myself how to make it work. Anyway...
It was good to end the day with a small personal victory.
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Nice going! Wish I was having as much luck tonight with my knot issues. 
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Delighted to be advertising for a Chair in Operational Research to join our thriving and growing group!  
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Knot Theory: Images and Video  - 
 
 
I have a pair of undergraduates working with me in a knot theory question. One of them made pretty toys!
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The best silliness takes itself seriously.
 
When Owen asked C-3PO if he spoke the binary language of moisture vaporators, the proper answer for him to give (in binary) would have been "with neither too many hands nor too few," that being the idiom for speaking politely and properly. Moisture vaporators use their hands as communication ports, each finger transmitting or receiving a single channel, and touch hands to one another in order to speak; if you were to speak with more hands than the listener had available, they would miss part of what you were saying, and (especially if that were crucial metadata) they would not be able to understand you. Conversely, if you spoke with fewer hands than they listened with, your transmissions would be slow, stilted, taking far too much time. Speaking with the appropriate number of hands is a key aspect of their culture.

But as with many societies, etiquette conceals notions of class: the number of hands a moisture vaporator has is largely determined by wealth and their role. As a result, a common worker with only two or three hands will always seem slow-witted and foolish when trying to speak to a five-handed member of their bourgeoisie, and that burgher would in turn feel profoundly uncomfortable in "seven-handed society." 

An eighth hand, by law and by custom, is permitted only to their Emperor, and in fact "the eighth hand" is both a symbol of and metaphor for Imperial power.

However, in the far-less-populated outer reaches of the galaxy, hands maintain their noncommunicative functional use, and these customs are absent. It has been reported that among the small ice moons, where "down" is a matter of opinion, that it is not uncommon for a vaporator to have ten or even twelve hands, radiating in all directions from their central core. These terrestrial customs are entirely unfamiliar there, conversation normally being had with however many hands someone has free at the moment. But it makes one wonder what would happen if emissaries of vaporator "society" were to ever encounter these prospectors: would they mistake the great frequency of many arms for a sign that somewhere there is tremendous wealth hidden? Would they try to plunder asteroid belts in search of a hidden City of Water?

This is the real role of a protocol droid: to communicate to all sides the subtle nuances of each other's cultures, before oil is spilled.

(Below: Moisture vaporators in conference. The small number of arms on the ones on the left indicate that they are common workers, while the ones on the right are likely supervisors. Photo via http://www.propstore.com/blog/star-wars-prequel-trilogy-on-location-in-tunisia/)
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I just had a class cancelled due to low enrollment. Instead, I got assigned an additional section of a course I was already scheduled for, and had taught several times before.

This sounds fine, possibly even good. But then the reality check: the new section is a Tuesday-Thursday course. The one I already had is a Monday-Wednesday-Friday course.

All of my materials are built for MWF. sigh.
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Oh no! I am supposed to figure it out today, +Doug Shaw​. Wanna talk later?
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Iowa is feeling God's wrath today in the form of a big snowstorm. I am sure it is because She is just as tired of the caucuses as we are. So, all the local schools, pre-school to university, are having a snow day.

This means I should be grading and catching up on late projects. Instead, I spent all morning with my kids. I figured, "I can grade papers after lunch."

But the mail just arrived! New plan...
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I have been playing with knots and learning about the bridge number. Today I found a way to present the cinquefoil, knot 5_1 in the standard table, as a 2-bridge knot.

Those bridges are the long arcs between the pieces of scotch tape, where every crossing goes underneath the arc. This knot has two bridges, and that is the smallest number you can make work in this case.

That this is a 2-bridge knot has been known for a while. I was just trying to figure out for myself how to make it work. Anyway...
It was good to end the day with a small personal victory.
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Thanks! I had not seen that, yet.
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This small thing is kinda a big thing.
So far, this term seems to be off to a good start. I realize that one thing I am doing much better this term than last is really important. If I write it down, maybe I will always remember. The att...
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I have a pair of undergraduates working with me in a knot theory question. One of them made pretty toys!
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That's nice.
 
There's an interesting generalization of the Pythagorean Theorem that I'd never heard of. There's a mention of De Gua's Theorem (the 3-dimensional generalization of the PT) on futilitycloset.com, but the wikipedia article https://en.wikipedia.org/wiki/De_Gua%27s_theorem discusses the more general version in n-dimensions. 
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Have him in circles
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Occupation
Professor of Mathematics
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  • University of Northern Iowa
    Professor of Mathematics, 2007 - present
  • Rice University
    VIGRE Lovett Instructor of Mathematics, 2003 - 2006
  • Williams College
    Visiting Assistant Professor, 2006 - 2007
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Male
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College Mathematics Teaching, only mostly insane.
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I am interested in:
Math (especially geometry),
Inquiry Based Instruction,
Standards based assessment,
learning Python,
the Sage math software project,
Soccer,
good books.
Education
  • University of Michigan
    Mathematics, 1997 - 2003
  • THE Ohio State University
    Mathematics, 1993 - 1997
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+1 3192732646
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Department of Mathematics 0506 University of Northern Iowa Cedar Falls, IA 50614-0506
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