## Archive for April, 2010

### When guests are points

Friday, April 30th, 2010

Place four points in the plane such that the distance between any pair is >= 1 and the average distance between pairs is minimised.

Find a formula for the minimum average distance between pairs for four, five, six, …, n points.

I am sure this is a famous problem, but I don’t know its name or any results. I came to think of it when I was a dinner party as explained here.

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Friday, April 30th, 2010

Jill: How did you find the weather on your vacation?
Bill: I just went outside and there it was!

- Don Harshbarger

### My friend can make goat cheese

Thursday, April 29th, 2010

My friend and I sold all our sheep. I know, it is sad, but we needed the money to buy goats for \$10 per goat. How much we got for the sheep? We got as many dollars per sheep as we had sheep. After buying the goats we had a few dollars left, so naturally we bought some rabbits. We ended up with an even number of animals we split evenly. My friend did not want any rabbits, so ,obviously, I wonder, how many dollars does he owe me?

Problem source: Dansmath.

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Thursday, April 29th, 2010

Life is like stepping onto a boat that is about to sail out to sea and sink. - Shunryu Suzuki

### What does a mathematician look like?

Wednesday, April 28th, 2010

The Norwegian Academy of Science and Letters has decided to award the Abel Prize for 2010 to John Torrence Tate, University of Texas at Austin, for his vast and lasting impact on the theory of numbers.

Which of the gentlemen above is a mathematician?

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Wednesday, April 28th, 2010

Only exceptionally rational men can afford to be absurd. - Allan Goldfein

### Some quadrilaterals are more equal than others

Tuesday, April 27th, 2010

The consecutive sides of a quadrilateral measures, let’s say, 6, 33, 47, and 34 light years. Determine the angle between the diagonals.

Problem source: MathCentral – Problem of the Month.

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Tuesday, April 27th, 2010

There is no end to education. It is not that you read a book, pass an examination, and finish with education. The whole of life, from the moment you are born to the moment you die, is a process of learning. – Jiddu Krishnamurti

### Find the ?

Monday, April 26th, 2010

Find the value of the question mark.

Problem source: Puzzletopia.

PUZZLETOPIA.net (puzzle + Greek, topos, place) is literally a place for puzzles. The noun, puzzle, means something that mystifies, baffles, bewilders, or perplexes, and it is almost poetic that the origin of the word, puzzle, is itself a mystery.

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Monday, April 26th, 2010

There is no reciprocity. Men love women women love children children love hamsters. - Alice Thomas Ellis