The End

This daily blog was an experiment, but it's not working for me. So sorry. Don't expect any new posts here.

Knots

Try drawing some knots. This is not as easy as it may sound at first. Tying knots is much more natural and intuitive than drawing them.

More Prime Numbers

If p is a prime number that is bigger than 3 can you see why either p+1 or p-1 is divisible by 6?

Randomness

Randomness is a tricky thing. Open up a text document and put your a finger on two different keys (for instance 1 and 0). Now very rapidly type a sequence of those two characters (taking about five seconds to do so), but try to make the sequence as random as possible.

Here is what I got:

1010100000100001010100100101011010101011

How random is your sequence? (Mine is pretty nonrandom.) Think about ways of measuring its randomness.

Joke Chess Problems

You may have heard of chess problems: puzzles involving the game of chess. Have you heard of a joke chess problem?

If not check them out: Joke chess problems on Wikipedia.

Source: Wikipedia.

Number Sense + Working Memory

This exercise is meant to be done in your head to give your working memory a workout.

Think of four four-digit numbers. Let's say the year you were born, the last four digits of your social security number, the last four digits of your telephone number and the number 1234 (but feel free to come up with your own).

First arrange them in your head in ascending order.

Next arrange them so that the third digits are in descending order.

Finally, with the numbers in the order of step two, think of the four-digit number whose first digit is the first digit of the first number, whose second digit is the second digit of the second number and so on.

Geometry + Working Memory

Here is one to exercise your working memory while your spatial reasoning is engaged.

Imagine four or five solids (I used the sphere, cube, tetrahedron [a triangle-based pyramid] and cylinder, but don't let that influence you).

Now visually moving them around and scaling them, put the first inside the second inside the third inside the fourth. Now reverse the order of the nesting.

Too easy-peasy? Do it with more solids.