Imp Year 1 Pow 16: Spiralaterals

POW 16: Spiralaterals

Problem Statement: Spiralaterals-a spiralateral is a sequence of numbers that forms a pattern or a spiral like shape. Spiralaterals can form a complete spiral-like shape or it could form an open spiral that never recrosses itself or return to it's original starting point.

To make a spiralateral: Each spiralateral is based on a sequence of numbers.To draw the spiralateral, you need to choose a starting point. The starting point is always "up" on the paper. Next take your first number and draw a line as many squares long as your number is. Now turn your paper 90Ð'o and take your next number and do the same thing as the first. Each line will be drawn 90Ð'o clockwise from the previous line drawn. Stop this whenever the shape has come to its starting point or if you realize the shape will continue in one direction and will probably not return.

Begin by drawing odd and even number sequences,shorter sequences, longer ones,and eventually more elaborate and random sequences to get different products.

Conclusion: Spiralaterals containing 4 numbers will not return to their starting point but ones with 3,2, or 5 numbers will almost always make a complete spiral.

Spiralaterals with 2 numbers will make a rectangle or a parallelogram. Any set of numbers that is a repetition of one number (I.e. 1,1,1,1,1,1,1,1. 7,7,7,7,7,7,7. e.t.c) will also make rectangles. Also numbers that repeat two of the numbers but not the third one (I.e. 1,1,1,2,2,2,4. 3,3,3,3,3,1,5,5,5,5.)will make rectangles that will just go off and not return to their starting point.

Bibliography:

http://www.geocities.com/trainump/Math1POW16.html