# Is this a counter example to Stromquist's Theorem?

Stromquist's Theorem: If the simple closed curve J is "nice enough" then it has an inscribed square.
"Nice enough" includes polygons.
An "inscribed square" means that the corners of a square overlap with the curve.

I would like to suggest a counter-example:

The curve connected by the points: (.2,0) (1,0) (1,1) (0,1) (0, .2) (-.2, -.2) (.2,0)
Can this curve be incribed by a square?

(An older version of this question had another example: a triangle on top of a square (without their mutual side.) )

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Regarding your edit: (0.2, 0) — (1, 0.2) — (0.8, 1) — (0, 0.8) (and many others)

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