I have forgotten the number of the combination of the lock on my
briefcase. I did have a method for remembering it...
Sam displays cans in 3 triangular stacks. With the same number he
could make one large triangular stack or stack them all in a square
based pyramid. How many cans are there how were they arranged?
Here is a collection of puzzles about Sam's shop sent in by club
members. Perhaps you can make up more puzzles, find formulas or
find general methods.
The circle below has seven points spread equally around its circumference. Press start to watch the construction of a seven pointed mystic rose. You can construct different sized roses by using the slider.
You may wish to try the problems Picturing Triangle Numbers and Handshakes. Can you see why we chose to publish these three problems together?
You may also be interested in reading the article Clever Carl, the story of a young mathematician who came up with an efficient method for adding lots of consecutive numbers.
Click here for a poster of this problem.