Before I say anything, let me state that I have searched the Internet for ways to create a perfect octagon in Minecraft. I couldn't find any guides except for one "formula" which was unclear. I have tried experimenting with possible ways to make a perfect octagon and think I have found a way. I am not sure if this is correct because my geometry skills are not that great. So what I have came up with is this: Assume that the side of one Minecraft block is 1 meter, then the diagonal length of the block would be 1.41... (sqrt(2)). Now let's say I want to make an octagon with side lengths of 10, the lengths of the diagonal sides would be approximately 7 ( 10 / sqrt(2) = 7.07). Is this the closest way to creating a perfect octagon in Minecraft or is there a better way of doing this?

Think of it as 5 squares and 4 45-45-90 triangles. Now lets say these squares have side length w. Now, as you know, in any 45-45-90 triangle, the dimensions are x, x, xsqrt(2). Now, unfortunately, sqrt(2) is an irrational number that doesnt terminate and beccause of it's irrationality, one side 'w' would be infinitely long, so no.However, if you use significant figures or rounding, yes.

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x = n/sqrt(2), where n is the base of the octagon and x is the diagonal sides of the octagon.

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Far as I can tell, this math makes perfect sense. It seems right.

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This isn't a perfect octagon, but it's close enough. The diagonals are about 1.06066017177982 times longer than the edges.

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