# Tag Archives: recreational math

## Abby’s Puzzles

My ten-year-old daughter asked me for help doing a mathematical STEM-fair project. We had a lot of funny doing the project together. Here is a brief description of what we did. We decided on the following question: “How many decominoes … Continue reading

Posted in computers | | 11 Comments

## A Case of Accidental Symmetry

The other day I was thinking about putting dominoes onto a 4-by-4 grid without any of the dominoes contacting each others’ sides. I wanted to know how many dominoes you could fit onto the 4-by-4 grid in this way, and … Continue reading

## Partitions of Graphs IX: The case of 13

This is the ninth in a series, the first being here: Part 1, and the previous here: Part 8. Here is a Q1 graph for n=13 o /      o-o-o-o-o-o-o-o-o-o \ o-o The corresponding Q1 partition is 5+5+3.  Unfortunately this … Continue reading

Posted in graphs | | 1 Comment

## Partitions of Graphs VIII: The case of 11 (and 17)

This is the eighth in a series, the first being here: Part I and the previous here: Part 7. We have shown that there are no Q1 graphs with n=5 nodes or with n=7 nodes.  Also, in the case of … Continue reading

## Partitions of Graphs VII: The Cases of 5 and 7

This is the seventh in a series, the first being here: Part I, the previous here: Part VI. In the previous post I defined a Q1 graph to be a graph G with q(G)=1.  We found examples of Q1 graphs … Continue reading

Posted in graphs | | 1 Comment

## Go Figure

I’ve only looked through this book a little so far, but it looks awesome.  My 7 and 5 year old have looked at it and had fun and I learned several math facts I didn’t know from it today.  I … Continue reading