



Blog
Software:

Euclid calculator
 Advanced calculator with support for variables and functions.
Compatible with Macintosh, Windows, and UNIX.
Game/Puzzle Analysis:
 An analysis of Tic Tac Toe
 Original research from 2006. A detailed analysis of this simple game.
 An analysis of the 16 Puzzle  Original research from 2000. The 16 puzzle is a very familiar
puzzle with 15 scrambled tiles and 16 spaces. I derive a method
of determining if a given scrambling is legal  that is, if the
puzzle is solvable.
 An analysis of the Higher Number game
 Original research from 2016. An analysis of the Higher Number game, in which each player gets a random
number and decides whether to keep it.
Probability:
Algorithms:
Other Research/Analysis:
 My Polyominoes Page  Various topics related to Polyominoes. Some original research,
along with links to other research.
 My Research on Egyptian Fractions  PDF document of my 1992 research paper. Egyptians had no way
of writing 5/6. Instead, they would write 1/2 + 1/3 (the sum of
unit fractions). My research examines ways of computing fractions
as the sum of unit fractions, minimizing number of terms and/or
largest denominator.
 My Research on Graceful Graphs  Research from 1988. Includes a PDF version.
 Chess Tours  1986 research on knight's tours, bishop's tours, etc. Some extensions
to 3dimensional chess boards.
Learning:
Java Applets:




