Log of Hours

Week of 2 February
4 February REACH meeting (2 hrs.)
6 February REACH meeting (2 hrs.)
Total: 4

Week of 9 February
11 February REACH meeting (2 hrs.)
13 February REACH meeting (2 hrs.)
15 February Worked on homework (1 hr.)
Total 9

Week of 16 February
17 February Read over list of possible projects (1 hr.)
18 February REACH meeting (2 hrs.)
20 February REACH meeting (2 hrs.)
Total: 14

Week of 23 February
25 February REACH meeting (2 hrs.)
26 February Looked over Eric Kuo's article on Kuo condensation (1.5 hrs)
27 February REACH meeting (2 hrs.)
Total: 19.5

Week of 2 March 2003
4 March REACH meeting (2 hrs.)
5 March Reading Andy's article on Markov numbers (1 hr.)
6 March REACH meeting (2 hrs.)
8 March Finished reading Andy's article (.5 hr)
Total: 24

Week of 9 March 2003
11 March REACH meeting (2 hrs.)
11 March Played with other Markov-like recurrences on Maple.  Seemed to get Laurent polynomials. (1 hr.)
13 March REACH meeting (2 hrs.) Found article on Descartes' Four Circles Theorem began reading article (1 hr.)
Total: 30

Week of 16 March 2003
18 March REACH meeting (2 hrs.)
20 March REACH meeting (2 hrs.)
21 March Read over Gabriel's and Greg's work on Ptolemy recurrence, looked at connection with lattices suggested by Jim (2 hrs.)
Total: 36

Week of 23 March 2003
Tried to work out connection between Gabriel's and Andy's snakes. (1 hrs.)
Total: 37

Week of 30 March 2003
1 April REACH meeting, succeeded in showing the snakes that come from Gabriel's construction and the Ptolemy recurrence were the same as the snakes in Andy's paper. (2.5 hrs.)
3 April REACH meeting, showed that on a diagonal x+y=c in the coordinate plane, the Markov numbers increase as we get closer to the x or y axes.  This gives a crude bound on the Dana-Scott numbers. (2.5 hrs)
Total: 42

Week of 6 April 2003
8 April REACH meeting, Reading over some article about Markov numbers for 
background for paper.