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Monthly Archives for December, 2013



A chess board

Posted on: December 31st, 2013 by
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You write numbers on each square in a chessboard such that the number on a square is equal to the average of the numbers in all the squares adjacent to it (two squares are adjacent if they share a common line). Show that all the numbers in all squares are equal - An old puzzle I remembered.

Why aren't humans able to do photosynthesis?

Posted on: December 30th, 2013 by
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One hypothesis is that the energy requirements of the human body cannot be met via photosynthesis only. The reason plants don't move is that they don't get enough energy from photosynthesis. Is this hypothesis correct? Google for appropriate data, and see if photosynthesis can produce the 2000kcal of energy that an average human needs everyday.

Menger sponge

Posted on: December 29th, 2013 by
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This is not a puzzle, rather an interesting concept. A Menger sponge is defined as follows: 1. Take a 1x1x1 cube and divide it into 27 smaller cubes like a Rubix cubes. 2. Remove the small cubes in the middle of each face, and the small cube in the center. We are left with 20 cubes. 3. Repeat steps 1,2 for each smaller cube. 4. Keep repeating this process Continue reading the story "Menger sponge"

win a gold coin

Posted on: December 28th, 2013 by
3

A game show host places 3 coins: 1 bronze, 1 silver and 1 gold. He tells you that if you tell a true statement, you will get one of the three coins. If you lie however, you will not get any coin. What statement should you make to guarantee you get the gold coin? - via Richard Wiseman blog

A thought experiment

Posted on: December 27th, 2013 by
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A library that has every book in the world won't be so useful. Google is probably more useful. The usefulness of a library is determined by how soon you can get information you want, not by how many books are in the library. See why for yourself via this Quora article.

Halloween on dec 25

Posted on: December 26th, 2013 by
2

A computer science student wished "Happy Halloween" on Christmas. Why? - via unknown source

Logarithmic

Posted on: December 25th, 2013 by
1

Without using log tables or calculators, show that \frac{1}{\log_2\pi}+\frac{1}{\log_5\pi}>2. - via Moscow math Olympiad problems

Matrix determinant

Posted on: December 24th, 2013 by
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A is a 300 x 300 matrix with 17 on the diagonal, and the rest of the entries being 11. What is det(A)? Hint: It is sometimes easier to solve a more difficult problem. - via Sudeep Kamath

Collision detection

Posted on: December 23rd, 2013 by
1

In computer graphics applications you have a bunch of objects in 3d space. You like to do collision detection. For example, if a bullet hits you or the enemy, or if you punch an enemy, you like to know if there is a collision. All objects are composed of cuboids and 3d ellipsoids. Assuming there are n objects how can you quickly determine which pair Continue reading the story "Collision detection"

Move a matchstick

Posted on: December 22nd, 2013 by
6

The image below represents a valid equation formed by matchsticks. Matchstick image Can you move one matchstick such that the equation is correct?

{"result":"error", "message":"You can't access this resource as it requires an 'view' access for the website id = 1."}