Find the rabbit in the picture puzzle answer

Leonardo's Lane This puzzle was suggested by Paul Dixon, a mathematics teacher at Coulby Newham School, Middlesborough.ДЄ new estate of houses is to be built on one side of a street - let's call it Leonardo's Lane. Make a table of the patterns you have found and the number of patterns possible using 1 domino (easy!), 2 dominoes, 3 dominoes, and so on, not forgetting to include the original rectangle design too. This time dominoes can be placed in either the tall or wide direction in your design. Take the same number of dominoes and, using this rectangle as the picture to aim at in a jigsaw puzzle, see how many other flat patterns you can make which have exactly this shape.

Pack them neatly together to make a rectangle which is as long as you like but only 2 squares tall. Start by placing n dominoes flat on a table, face down, and turn them so that all are in the 'tall' or '8' position (as opposed to the 'wide' or 'oo' orientation). If you like, turn the dominoes over with the spots underneath so that they all look the same. In this variation of the Brick Wall puzzle, we are not interested in the spots on the dominoes, just their shape. Show me an example of why the Fibonacci numbers are the answer Variation - use Dominoes A domino is formed from two squares. Look at the number of patterns you have found for a wall of length 1, 2, 3, 4 and 5. How may different patterns are there for a wall of length 5? How many patterns can you find for a wall of length 4? There are three patterns for walls of length 3. There are 2 patterns for a wall of length 2: two side-ways bricks laid on top of each other and two bricks long-ways up put next to each other. There's just one wall pattern which is 1 unit wide - made by putting the brick on its end. Fibonacci numbers and Brick Wall Patterns If we want to build a brick wall out of the usual size of brick which has a length twice as long as its height, and if our wall is to be two units tall, we can make our wall in a number of patterns, depending on how long we want it:

Making a bee-line with Fibonacci numbers.

Contents of this PagePuzzles that are simply related to the Fibonacci numbers.

Find the rabbit in the picture puzzle answer