Divide by 8 with a diamond in the middle

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Finally managesd to find a cross section that devided into 8 sections instead of four. However the diamond in the middle might look pretty but as you see it actually take up allot of space. However I think I need to draw out a pattern and see if I could come out with a better possibility. One this also is that the normal fences are higher then the diagonal ones, the diagonal ones are actually half the size. Also I should be working with stronger and thicker piece of paper. Cause the crossing sections I am repeatedly refolding are starting to tear, you can actually see a small hole appearing in the middle.

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