The only way to get a square out of a single parametric equation (that I know of) is to form a square is just to take the limit as n-> inf for the parameterization for a squircle - might just be easier to visualize here: www.desmos.com/calculator/k4majn258z But any integration with squircles is likely bound to be much harder and unnecessarily complex than four integrals around line segments.
@@MeatiusGaming Forgot about the case where n = 1... so yes 😅 - though the parameterization of it would still involve either 4 line segments or the square of trig functions
Finally thanks
finally. thank you.
Of course! Thank you for the suggestion!
Could there be a parametic function that creates a square?
The only way to get a square out of a single parametric equation (that I know of) is to form a square is just to take the limit as n-> inf for the parameterization for a squircle - might just be easier to visualize here: www.desmos.com/calculator/k4majn258z
But any integration with squircles is likely bound to be much harder and unnecessarily complex than four integrals around line segments.
@@GingerMath Wouldn't it be possible to just flip the square to the side and use |x| + |y| = 1?
@@MeatiusGaming Forgot about the case where n = 1... so yes 😅 - though the parameterization of it would still involve either 4 line segments or the square of trig functions