Maths! ><

Ok, lets see if I can explain myself properly... A design for a 3D panel-based model I have to make requires a rectangle that, when rotated 90º and shrunk proportionately, will fit into itself either 6 or 7 times. Preferably 6, but I can work with 7 if need be. If that doesn't make sense, here's a diagram to help...

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One large rectangle, made up of 6 smaller rectangles of the same proportion. Obviously my rectangle is not in proportion, if it was... I wouldn't be asking!

I've been trying to figure this one out for about 2 hours now... Now it's your turn to get frustrated

Whoever gets the answer, could you please show working?

Unless I'm interpreting this the wrong way, this only requires simple high school algebra to solve. Basically, you want a small rectangle with height-to-width ratio y:x such that when you take 6 of them and line them up next to each other, you have a large rectangle with height-to-width ratio y:6x such that the long-to-short ratio for one of the small rectangles y/x is equal to the long-to-short ratio for the large rectangle, 6x/y. Using that equation, you easily arrive at

y*y = 6*x*x
=> y = x*sqrt(6)

So you want a sqrt(6):1 long-to-short side ratio, or approximately 2.4495:1. Problem solved.

Genius! Thank you!

Sorry that diagram didn't turn out too well... multiple spaces don't work.