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Octagonal Star Geometric Progression

Repeating patterns of kites and squares, arranged around a central octagonal star. I really like this particular arrangement of shapes, and hope to some day exploit it further. There are many options as to folding and pleat assignment here, and I hope you’ll allow me the indulgence of sticking to the one that seems most appropriate to my own tastes.

I continue to be inspired by Islamic Art, and the wealth of geometric patterns that exist within the body of that work. However, I’m still in touch with my geometric roots, and my love of fractals- thusly patterns that are able to grow endlessly serve two purposes for me.

1.) They are wonderful patterns that often match designs from ancient buildings and artwork

2.) they are geometric tessellations of a non-euclidean space- something with a fractal dimension that I’m unable to calculate.

This factors in somewhat with the concepts of tessellations of hyperbolic space, but it’s not quite the same. I don’t have the math knowledge to explain it, but it would be something along the lines of a warped dimensional topology which, if met, would allow this piece to be tiled with equal sized pieces, or something to that effect.

I like the shapes, really, more than anything else. I hope you enjoy it too.

This little piece of paper is most certainly destined for some additional decoration, but I haven’t made any good decisions on what it should be. suggestions are quite welcome!


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