Tiling a board - generalize

Posted on: January 10th, 2014 by
Consider a $3^n\times 3^n$ board that contains $3^{2n}$ cells each of dimension 1x1. An L-shaped tromino is a piece that is L-shaped and occupies 3 cells. Can we tile a $3^n\times 3^n$ board using L-shaped trominoes? - via Algorithmic puzzles

Tiling a board

Posted on: January 9th, 2014 by
Consider a 9x9 board that contains 81 cells each of dimension 1x1 An L-shaped tromino is a piece that is L-shaped and occupies 3 cells. Can we tile a 9x9 board using L-shaped trominoes? - via Algorithmic puzzles

Assembling an 8x8 chessboard

Posted on: January 8th, 2014 by
An 8x8 chessboard needs to assembled. You are given a 4x4 chessboard that is colored accurately into alternating black and white squares. You are also given a pair of scissors and a bottle of glue. You are to cut the 4x4 chessboard into the smallest number of pieces such that these pieces can be reassembled to form an 8x8 chessboard with alternating black and white Continue reading the story "Assembling an 8x8 chessboard"

Find the restroom

Posted on: January 6th, 2014 by
2

You travel to Japan and everything is written in Japanese. You find two restrooms, one for males and one for females, except you don't know which one's which. You can ask a Japanese to find out. The Japanese can understand English, but he can't answer in English. He can only answer in Japanese. He is very bad with sign language. How will you find out Continue reading the story "Find the restroom"

Triangular garden

Posted on: January 5th, 2014 by
2

The triangular garden below shows four plants (one each in 4 cells). Add 6 more plants (one plant per cell) to make 5 rows of 4 plants each. - via Best Brain teaser

Do I have telepathy?

Posted on: January 4th, 2014 by
1

I seem to have a telepathic connection with the clock on the computer screen. I feel that whenever I see the time, I often see patterns like 2:22, 1:23, 3:33, 2:34, 12:34, etc. The only explanation seems to be that I have a telepathic connection with the clock. Is there a better explanation?

DeShaw interview puzzle

Posted on: January 3rd, 2014 by
1

The new year occurs exactly 1 week after Christmas. Thus if Christmas is on a Wednesday so is the new year that follows. In the year 2030, Christmas occurs on a Wednesday, whereas New Year occurs on a Tuesday. How is this possible? - via Best Brain Teasers

Tiling a chessboard

Posted on: January 2nd, 2014 by
2

Is it possible to cover an 8x8 chessboard with 2x1 tiles such that no two tiles forms a 2x2 square? - via Algorithmic puzzles.

Happy new year!

Posted on: January 1st, 2014 by
1

Please enjoy solving the sliding picture puzzle below! You can slide each picture into an empty cell. Rearrange the cells so as to get the right picture.

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