Students' Projects for Math 640: EXPERIMENTAL MATHEMATICS, Spring 2014

First posted: May 7, 2014

Last Update: May 7, 2014

Students Projects

• Systematically investigate the conjectures discussed in Douglas Hofstadter's fascinating Colloquium lecture: part 1, part 2,
  [Taken by Katie McKeon and Anthony Zaleski, see their proposal]

  Katie and Anthony submitted a great draft, but they requested to wait for a later version.

• Find codes with neat properties.
  [suggested and claimed by Ross Berkowitz (with help from Tom Szinigir). See Ross Berkowitz's proposal ]

  Here is the first draft of Ross Berkowitz's Maple Code

• Implement, and possibly extend to PDEs the interesting Interpolation method suggested in Tom Sznigir's message [Claimed by Frank Wagner]

  Read Frank Wagner's Maple Code and human description .

• Investigate the gambler's ruin problem in two (and possibly even three!) dimensions, along similar lines to this gem. [Taken by Jeff Ames and Kafung Mok, see their proposal]

  Here is their neat Python code.

• Nathan Fox continued to study subtraction games, see his expanding webpage. This will soon turn into a seminal paper.

• See which sets of lines drawn in the plane with over and under crossings can come from a projection of lines in three space to the plane. [Suggested and taken by Cole Franks and Andrew Lohr]
  • desciption in humanese
  • Maple Code
  • Maple worksheet (requires Maple)

• Implement the neat hypermatrix algebra described in Edinah Gnang's beautiful paper
  [Taken by Ha Luu and Somwya Srinivasan, see their proposal]

  See their Maple code and description

• Investigate enhanced Enumeration schemes for pattern avoiding permutations [Taken by Nathaniel Shar]

  See description

• Independently of this class' official requirements, Anthony Zaleski hopes to investigate nonlocal isoperimetric poblem
  [see his proposal]

• Zhen Bo investiaged matrix operations. See his Maple code.

• Ha Ming programmed, and studied the 2048 game. See his Maple code.