A six-pointed star from six 1:√3 rectangles. The unit only needs three folds and one more for the lock.
Inspired by Felicitas Star by Maximiliano Ortiz https://mathstodon.xyz/@foldworks/116289003248607813
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The other side shows the pinwheel nature of the star
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A nine-pointed star from A8 1:√2 rectangles. I thought there should be 10 units but nine fit better.
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The other side shows has a clearer structure and cleaner appearence?
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Eight-pointed star folded from eight 3:2 rectangles.
A similar folding method as before, but I had to model the unit in Geogebra to find that the required proportion was 3:2.
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As with the previous stars, the reverse side has a clean and clear structure
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Having made 6- and 8-pointed stars, the next step was to make 3- to 7-pointed stars.
I eventually found the required proportions after more experimenting in Geogebra. For a short edge of 1 unit, the long edge needs to be 3.73, 2.41, 2.0, 1.73 and 1.6 for 3- to 7-points.
Odd numbers of units are awkward for choosing colours: either every unit a different colour or use 2 or 3 colours.
As the number of units goes up and beyond 10, the folded locking flap becomes tiny and almost useless.
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The now familiar pattern on the other side
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One post for the five-pointed star
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And one post for the four-pointed star.
The three-pointed star will be the last and the pointiest
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