by MathPickle | Jun 7, 2016 |
Picasso’s cuboid puzzle uses volume in an unequal battle between a Greedy and Generous Cuboid. 20 can be written as the sum of the volumes of two cuboids… a Greedy one and a Generous one… All three dimensions of the Greedy Cuboid {3,3,2} are at least as...
by MathPickle | Feb 8, 2016 |
This three-ball juggling is common, but Juggling can use a lot of complex patterns. How should we organize these patterns so we could talk about them? It was not until the 1980s that mathematicians and jugglers started to solve this problem. The result was SITESWAP....
by MathPickle | Dec 12, 2015 |
{0,0,0,1,1,1,2,2,2,2,9,9,10} In this mini-competition your students try to find a set of non-negative integers for which the mean, median and mode are integral. There are six separate challenges… one for each permutation. The one here is for median < mode...
by MathPickle | Dec 9, 2015 |
Can you tile this big L shape with identical, but smaller copies of itself? If so, the shape is called a rep-tile (repeating tile). However, that’s not what we are going to be looking at here. We are going to explore “irreptiles” which are shapes...
by MathPickle | Dec 9, 2015 |
Cardboard Snowflakes are created by putting a non-negative integer in each circle. There can be no duplicates. Circles are the average of all smaller circles touching them. Here we have failed. Can you find out why? Part of the snowflake looks good. 7 is the...