In dimensioning and trying to find the size that will fit our needs we began by choosing random numbers. These were from what we felt would be the proper size. In a projects, such as this, incorporating meaning into every detail adds to the value and beauty of the finished product. Faced with numbers representing a vehicle's dimensions we incorporated the Golden Ratio. Because the ratio is not a whole number, it is really hard to get whole numbers to be in the exact Golden Ratio. So we end up rounding up or down. For instance the length of the base of the bottom platform will be 13. The height of the pyramid from the center of the base to the tip-top will be 21, 21/13 = 1.615. This is very close to the Golden Ratio of 1.618... The width of the base platform will be 8 feet, 13/8 = 1.625. Not as close, but still close. Applying this to other dimension, like the height of the second level, we will see the ratio appear in a number of places. If we choose 8 feet as the height, that would divide the total height into 8 foot and 13 foot sections. At 8 feet, the dimensions the pyramid legs enclose around the second platform are length 8 feet and width 5 feet, 8/5 = 1.6. A little further away but still close. If we decide to make a third smaller platform and put this 8 feet above the 2nd platform (dividing the height from the 2nd platform to the top, 13 feet, into 8 foot and 5 foot sections) we find the 3rd platform to be 3 feet long by 2 feet wide, 3/2 = 1.5. We're getting a little further out but a funny thing happens when we take a closer look at the numbers we have for our dimensions:
2, 3, 5, 8, 13, and 21. Does this number sequence look familiar to you?
It is a Fibonacci Sequence. The Fibonacci sequence is a set of infinite numbers, where each number is the result of adding the two numbers previous to it together. 2+3=5, 3+5=8,5+8=13 8+13=21... Check out the links because it's fascinating math.
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