
Recent Posts
Blogroll
 11011110
 A Narrow Margin
 Ask a Mathematician
 bitplayer
 DataGenetics
 Exploring Binary
 FiveThirtyEight
 Gödel’s Lost Letter and P=NP
 God Plays Dice
 Good Math, Bad Math
 IBM Research Ponder This
 Math ∩ Programming
 Matt's Maniacal Musings
 Mind Your Decisions
 nullprogram
 Randal Olson
 Random ASCII
 Richard Wiseman
 Science Sushi
 Tanya Khovanova’s Math Blog
 Terry Tao
 The PuzzlOR
 The Universe of Discourse
 what if?
Meta
Archives
 July 2017
 June 2017
 May 2017
 April 2017
 March 2017
 February 2017
 January 2017
 December 2016
 November 2016
 October 2016
 August 2016
 July 2016
 June 2016
 May 2016
 April 2016
 March 2016
 February 2016
 January 2016
 December 2015
 November 2015
 October 2015
 September 2015
 August 2015
 July 2015
 June 2015
 May 2015
 April 2015
 March 2015
 February 2015
 January 2015
 December 2014
 November 2014
 October 2014
 September 2014
 August 2014
 July 2014
 June 2014
 May 2014
 April 2014
 March 2014
 February 2014
 January 2014
 December 2013
 November 2013
 October 2013
 September 2013
 August 2013
 July 2013
 June 2013
 May 2013
 April 2013
 March 2013
 February 2013
 January 2013
 December 2012
 November 2012
 October 2012
 September 2012
 August 2012
 July 2012
 June 2012
 May 2012
 April 2012
 March 2012
 February 2012
 January 2012
 December 2011
 November 2011
 October 2011
 September 2011
 August 2011
 July 2011
 June 2011
 May 2011
 April 2011
 March 2011
 February 2011
 January 2011
 December 2010
 November 2010
 October 2010
 September 2010
 August 2010
 July 2010
 June 2010
 May 2010
Category Archives: Uncategorized
The following are equivalent
I have been reviewing Rosen’s Discrete Mathematics and Its Applications textbook for a course this fall, and I noticed an interesting potential pitfall for students in the first chapter on logic and proofs. Many theorems in mathematics are of the … Continue reading
Posted in Uncategorized
4 Comments
Dice puzzle
I recently encountered the following interesting problem: Suppose that I put 6 identical dice in a cup, and roll them simultaneously (as in Farkle, for example). Then you take those same 6 dice, and roll them all again. What is … Continue reading
Posted in Uncategorized
2 Comments
A number concatenation problem
Introduction Consider the following problem: given a finite set of positive integers, arrange them so that the concatenation of their decimal representations is as small as possible. For example, given the numbers {1, 10, 12}, the arrangement (10, 1, 12) … Continue reading
Posted in Uncategorized
4 Comments
Cutting crown molding
This post captures my notes on how to determine the miter and bevel angles for cutting crown molding with a compound miter saw. There are plenty of web sites with tables of these angles, and even formulas for calculating them, but … Continue reading
Posted in Uncategorized
Leave a comment
Iterative Poohsticks
The game of Poohsticks was invented by Milne and appears in one of his books, where Pooh and Christopher Robin each simultaneously drop a stick into a river from the upstream side of a bridge. The winner is the one … Continue reading
Posted in Uncategorized
3 Comments
Horse race puzzle
Introduction This post is part pedagogical rant, part discussion of a beautiful technique in combinatorics, both motivated by a recent exchange with a high school student, about an interesting dice game that seems to be a common introductory exercise in probability: … Continue reading
Posted in Uncategorized
3 Comments
The hardest 24 puzzles
Introduction Once again motivated by a series of interesting posts by Mark Dominus, a “24 puzzle” is a set of 4 randomly selected numbers from 1 to 9, where the objective is to arrange the numbers in an arithmetic expression … Continue reading
Posted in Uncategorized
2 Comments