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Hang on Studio Wall
31/03/2015
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recently finished, nov 2010. Again all acrylic, on thick card. Forgot to take a picture before it was framed! As for the *horizontal* perspective lines, there is a way to calculate them. First decide how much bigger the bottom tile (gap between two lines) is than the topmost tile (furthest away.) A good rule of thumb is 20 times as big, but try experimenting with others. Next, decide on the number of lines. If you choose 10 lines, that's 12 in total, including the horizon and bottom of the painting. Now raise 20 (the ratio) to the power of 1/10. Now you need a scientific calculator to do this, or the one in Microsoft Windows does just as well, but its a simple one-off press of a few buttons. The answer is 1.349 , and this represents by how much each subsequent 'gap between lines' or tile is higher than the previous one. Now there's a whole other bunch of maths you can use as well to make this easier, but I'll describe the more laborious (less maths intensive) way as an illustration. Now, starting with the number 1, keep multiplying this by 1.349 (use the calculator's memory) and write down the result each time. This comes to : 1 1.349 1.820 2.456 3.314 4.472 6.034 8.141 10.986 14.822 20 Notice how, by magic, you have moved from 1 to 20 in 10 steps! Now you need to add all these numbers up. This comes to 74.394. This means, if your painting had a bottom-to-horizon height of 74.394 cms, you could simply mark the positions off. But almost certainly it wont, so you need to measure the height of your horizon, and divide it by 74.394 to get a new ration, say ratio2. Now multiply all the 11 numbers in the list above by ratio2. The results are the precise heights of each tile or gap-between lines. Tip: you can keep re-measuring each gap from 0 with a ruler, but you will introduce errors, (ignoring the effects of ration2, just for simplicity's sake) It's much better to add 1 to 1.3

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