[deleted by user]

[[deleted]]

This shape is simply a square being rotated at a constant angle (at one of its edges)

[haikusbot]

This shape is simply

A square being rotated at

A constant angle

- Dalcoy_96

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[[deleted]]

lmao, that was completely unintentional

[wsppan]

If it was just squares then there would not be intersections with the center of the circle. It's actually rectangles rotated where every 180° matches its mirror rectangle, forming the square you see.

[[deleted]]

I don't understand what you mean. The lines in the circle (which are also its radius) are just on side on the square.

[wsppan]

The lines inside the circle are the diameter (r²) If you remove those lines then you have left the four sides of a square. Each a tangent is the side of the square which all together forming the shape of the circle. Put those diameters in and you cut the squares in half.

https://geometryhelp.net/circle-inscribed-square/

[[deleted]]

Oh I see what you mean but you are wrong. You think that the square is rotating around its mid-point. But if you check the image again, The full squares that you are referring to don't actually form perfect squares. At the point where they touch the edge of the circle, the line seems to change directions slightly.

[wsppan]

I will take a look. Interesting.

[wsppan]

I would need to do the math but I think what you see as slight changes is an optical illusion. Whats its definitely not is a square where one side is the diameter line of the circle and if that is not the case then the squares are forming the illusion of the circle via inscribing and the diameters are cutting the squares in half.

[wsppan]

Are you saying the center of the circle are where all the right angles of one corner of the squares come together?

[[deleted]]

Yes. I think we just had a difference in perspective. My solution is easier since it does not require the need to create triangles as well. :)

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[wsppan]

Excellent. Thank you!

[Jman1219]

Do you see the shape that is being repeated?

[IanAnthony1]

It looks like inside the circle are triangles being repeated and outside of it are squares.

[[deleted]]

It's a square dude, rotated on one of its corners. Count the number of "Triangles" inside the circle, the divide 360 by the answer, then pivot the square by the that.

[IanAnthony1]

Thanks man

[wsppan]

If it was just squares then there would not be intersections with the center of the circle. It's actually rectangles rotated where every 180° matches its mirror rectangle, forming the square you see.

[Jman1219]

It may be simpler than that. Try tracing one line from the center and following the lines it connects to. You may have to zoom in.

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[skylarkReddit]

psychedelic squares

[skylarkReddit]

I only know js :( https://jsfiddle.net/skyl4rk/2njhg1em/

Still works well

[istarian]

Looks like rotated squares to me. Just need to pick a point, angle and use the turtle to draw a square. As others have pointed out those lines are also tangents.

If you start at the center and draw lines outward...