This image shows that the octagon has silver ratio where the ‘symbol’ represents 1+ root 2. The diameter of an octagon and the size of a rectangle will give a smaller version of itself when two squares are removed from the octagon. Hence this proves that octagons have silver ratio.
The Silver Ratio is also known as the Lichtenberg Ratio.
So what exactly is the silver ratio?
Silver ratio is defined by 1+ root 2, which is approximately 2.414 (4sf).An object is considered to have silver ratio if(2 times the smaller quantity+the larger quantity/smaller quantity)divided by (the smaller quantity/the larger quantity) gives 2.414...We might not realise but we are using silver ratio everyday!
Where can we find the silver ratio?
You can find the silver ratio in paper size, japanese buildings that are still existent and many landmarks such as The Octagon, and Little Hagia Sophia.
Coming up with our problem! on Sunday, July 31, 2011
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Last thursday,we managed to come up with our problem statement!We realized that an A4 paper has silver ratio and we decided to find the perfect silver ratio parallelogram.In this parallelogram,the ratio between the 2 diagonals is 1+root 2 and the ratio of the width to the length is 1+root 2 as well!We will be using 2 methods to find this special parallelogram:experimentally and using calculations.For our solution,you have to wait for our report:)
18/6/2011 reflections on Monday, July 18, 2011
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Today, we met up for 2 hours to discuss our problem statement and report. First we decided to prove that an A4 paper's length and width is according the silver ratio. We found out that the width of an A4 paper is 21cm (210mm) and the length is 29.7cm (297mm) . Silver ratio is defined as 1 + root 2. As for if it is really the silver ratio, you'll have to read our report! Armed with this new information, we have started on the first few pages of our report.
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