super simple polygon shape maker

Expression 1: "n" equals 257

257

Expression 2: left parenthesis, join left parenthesis, cos left parenthesis, StartFraction, left bracket, 0... "n" minus 1 , right bracket 2 pi Over "n" , EndFraction plus StartFraction, 2 pi Over left brace, floor left parenthesis, cos squared StartNestedFraction, pi "n" plus pi NestedOver 2 , EndNestedFraction , right parenthesis equals 1 : 4 , floor left parenthesis, cos squared StartNestedFraction, pi "n" NestedOver 4 , EndNestedFraction , right parenthesis equals 1 : 2 "n" , 1 , right brace , EndFraction , right parenthesis , cos left parenthesis, StartFraction, left bracket, 0... "n" minus 1 , right bracket 2 pi Over "n" , EndFraction plus StartFraction, 2 pi Over left brace, floor left parenthesis, cos squared StartNestedFraction, pi "n" plus pi NestedOver 2 , EndNestedFraction , right parenthesis equals 1 : 4 , floor left parenthesis, cos squared StartNestedFraction, pi "n" NestedOver 4 , EndNestedFraction , right parenthesis equals 1 : 2 "n" , 1 , right brace , EndFraction , right parenthesis , right parenthesis left bracket, "n" ...2 "n" minus 1 , right bracket minus cos left parenthesis, StartFraction, left bracket, 0... "n" minus 1 , right bracket 2 pi Over "n" , EndFraction plus StartFraction, 2 pi Over left brace, floor left parenthesis, cos squared StartNestedFraction, pi "n" plus pi NestedOver 2 , EndNestedFraction , right parenthesis equals 1 : 4 , floor left parenthesis, cos squared StartNestedFraction, pi "n" NestedOver 4 , EndNestedFraction , right parenthesis equals 1 : 2 "n" , 1 , right brace , EndFraction , right parenthesis left bracket, 1... "n" , right bracket , right parenthesis left parenthesis, "y" minus sin left parenthesis, StartFraction, left bracket, 0... "n" minus 1 , right bracket 2 pi Over "n" , EndFraction plus StartFraction, 2 pi Over left brace, floor left parenthesis, cos squared StartNestedFraction, pi "n" plus pi NestedOver 2 , EndNestedFraction , right parenthesis equals 1 : 4 , floor left parenthesis, cos squared StartNestedFraction, pi "n" NestedOver 4 , EndNestedFraction , right parenthesis equals 1 : 2 "n" , 1 , right brace , EndFraction , right parenthesis left bracket, 1... "n" , right bracket , right parenthesis equals left parenthesis, join left parenthesis, sin left parenthesis, StartFraction, left bracket, 0... "n" minus 1 , right bracket 2 pi Over "n" , EndFraction plus StartFraction, 2 pi Over left brace, floor left parenthesis, cos squared StartNestedFraction, pi "n" plus pi NestedOver 2 , EndNestedFraction , right parenthesis equals 1 : 4 , floor left parenthesis, cos squared StartNestedFraction, pi "n" NestedOver 4 , EndNestedFraction , right parenthesis equals 1 : 2 "n" , 1 , right brace , EndFraction , right parenthesis , sin left parenthesis, StartFraction, left bracket, 0... "n" minus 1 , right bracket 2 pi Over "n" , EndFraction plus StartFraction, 2 pi Over left brace, floor left parenthesis, cos squared StartNestedFraction, pi "n" plus pi NestedOver 2 , EndNestedFraction , right parenthesis equals 1 : 4 , floor left parenthesis, cos squared StartNestedFraction, pi "n" NestedOver 4 , EndNestedFraction , right parenthesis equals 1 : 2 "n" , 1 , right brace , EndFraction , right parenthesis , right parenthesis left bracket, "n" ...2 "n" minus 1 , right bracket minus sin left parenthesis, StartFraction, left bracket, 0... "n" minus 1 , right bracket 2 pi Over "n" , EndFraction plus StartFraction, 2 pi Over left brace, floor left parenthesis, cos squared StartNestedFraction, pi "n" plus pi NestedOver 2 , EndNestedFraction , right parenthesis equals 1 : 4 , floor left parenthesis, cos squared StartNestedFraction, pi "n" NestedOver 4 , EndNestedFraction , right parenthesis equals 1 : 2 "n" , 1 , right brace , EndFraction , right parenthesis left bracket, 1... "n" , right bracket , right parenthesis left parenthesis, "x" minus cos left parenthesis, StartFraction, left bracket, 0... "n" minus 1 , right bracket 2 pi Over "n" , EndFraction plus StartFraction, 2 pi Over left brace, floor left parenthesis, cos squared StartNestedFraction, pi "n" plus pi NestedOver 2 , EndNestedFraction , right parenthesis equals 1 : 4 , floor left parenthesis, cos squared StartNestedFraction, pi "n" NestedOver 4 , EndNestedFraction , right parenthesis equals 1 : 2 "n" , 1 , right brace , EndFraction , right parenthesis left bracket, 1... "n" , right bracket , right parenthesis left brace, left parenthesis, "x" minus mean left parenthesis, cos left parenthesis, StartFraction, left bracket, 0... "n" minus 1 , right bracket 2 pi Over "n" , EndFraction plus StartFraction, 2 pi Over left brace, floor left parenthesis, cos squared StartNestedFraction, pi "n" plus pi NestedOver 2 , EndNestedFraction , right parenthesis equals 1 : 4 , floor left parenthesis, cos squared StartNestedFraction, pi "n" NestedOver 4 , EndNestedFraction , right parenthesis equals 1 : 2 "n" , 1 , right brace , EndFraction , right parenthesis left bracket, 1... "n" , right bracket , join left parenthesis, cos left parenthesis, StartFraction, left bracket, 0... "n" minus 1 , right bracket 2 pi Over "n" , EndFraction plus StartFraction, 2 pi Over left brace, floor left parenthesis, cos squared StartNestedFraction, pi "n" plus pi NestedOver 2 , EndNestedFraction , right parenthesis equals 1 : 4 , floor left parenthesis, cos squared StartNestedFraction, pi "n" NestedOver 4 , EndNestedFraction , right parenthesis equals 1 : 2 "n" , 1 , right brace , EndFraction , right parenthesis , cos left parenthesis, StartFraction, left bracket, 0... "n" minus 1 , right bracket 2 pi Over "n" , EndFraction plus StartFraction, 2 pi Over left brace, floor left parenthesis, cos squared StartNestedFraction, pi "n" plus pi NestedOver 2 , EndNestedFraction , right parenthesis equals 1 : 4 , floor left parenthesis, cos squared StartNestedFraction, pi "n" NestedOver 4 , EndNestedFraction , right parenthesis equals 1 : 2 "n" , 1 , right brace , EndFraction , right parenthesis , right parenthesis left bracket, "n" ...2 "n" minus 1 , right bracket , right parenthesis , right parenthesis squared plus left parenthesis, "y" minus mean left parenthesis, sin left parenthesis, StartFraction, left bracket, 0... "n" minus 1 , right bracket 2 pi Over "n" , EndFraction plus StartFraction, 2 pi Over left brace, floor left parenthesis, cos squared StartNestedFraction, pi "n" plus pi NestedOver 2 , EndNestedFraction , right parenthesis equals 1 : 4 , floor left parenthesis, cos squared StartNestedFraction, pi "n" NestedOver 4 , EndNestedFraction , right parenthesis equals 1 : 2 "n" , 1 , right brace , EndFraction , right parenthesis left bracket, 1... "n" , right bracket , join left parenthesis, sin left parenthesis, StartFraction, left bracket, 0... "n" minus 1 , right bracket 2 pi Over "n" , EndFraction plus StartFraction, 2 pi Over left brace, floor left parenthesis, cos squared StartNestedFraction, pi "n" plus pi NestedOver 2 , EndNestedFraction , right parenthesis equals 1 : 4 , floor left parenthesis, cos squared StartNestedFraction, pi "n" NestedOver 4 , EndNestedFraction , right parenthesis equals 1 : 2 "n" , 1 , right brace , EndFraction , right parenthesis , sin left parenthesis, StartFraction, left bracket, 0... "n" minus 1 , right bracket 2 pi Over "n" , EndFraction plus StartFraction, 2 pi Over left brace, floor left parenthesis, cos squared StartNestedFraction, pi "n" plus pi NestedOver 2 , EndNestedFraction , right parenthesis equals 1 : 4 , floor left parenthesis, cos squared StartNestedFraction, pi "n" NestedOver 4 , EndNestedFraction , right parenthesis equals 1 : 2 "n" , 1 , right brace , EndFraction , right parenthesis , right parenthesis left bracket, "n" ...2 "n" minus 1 , right bracket , right parenthesis , right parenthesis squared less than or equal to StartFraction, distance left parenthesis, left parenthesis, cos left parenthesis, StartNestedFraction, left bracket, 0... "n" minus 1 , right bracket 2 pi NestedOver "n" , EndNestedFraction plus StartNestedFraction, 2 pi NestedOver left brace, floor left parenthesis, cos squared StartNestedFraction, pi "n" plus pi NestedOver 2 , EndNestedFraction , right parenthesis equals 1 : 4 , floor left parenthesis, cos squared StartNestedFraction, pi "n" NestedOver 4 , EndNestedFraction , right parenthesis equals 1 : 2 "n" , 1 , right brace , EndNestedFraction , right parenthesis left bracket, 1... "n" , right bracket , sin left parenthesis, StartNestedFraction, left bracket, 0... "n" minus 1 , right bracket 2 pi NestedOver "n" , EndNestedFraction plus StartNestedFraction, 2 pi NestedOver left brace, floor left parenthesis, cos squared StartNestedFraction, pi "n" plus pi NestedOver 2 , EndNestedFraction , right parenthesis equals 1 : 4 , floor left parenthesis, cos squared StartNestedFraction, pi "n" NestedOver 4 , EndNestedFraction , right parenthesis equals 1 : 2 "n" , 1 , right brace , EndNestedFraction , right parenthesis left bracket, 1... "n" , right bracket , right parenthesis , left parenthesis, join left parenthesis, cos left parenthesis, StartNestedFraction, left bracket, 0... "n" minus 1 , right bracket 2 pi NestedOver "n" , EndNestedFraction plus StartNestedFraction, 2 pi NestedOver left brace, floor left parenthesis, cos squared StartNestedFraction, pi "n" plus pi NestedOver 2 , EndNestedFraction , right parenthesis equals 1 : 4 , floor left parenthesis, cos squared StartNestedFraction, pi "n" NestedOver 4 , EndNestedFraction , right parenthesis equals 1 : 2 "n" , 1 , right brace , EndNestedFraction , right parenthesis , cos left parenthesis, StartNestedFraction, left bracket, 0... "n" minus 1 , right bracket 2 pi NestedOver "n" , EndNestedFraction plus StartNestedFraction, 2 pi NestedOver left brace, floor left parenthesis, cos squared StartNestedFraction, pi "n" plus pi NestedOver 2 , EndNestedFraction , right parenthesis equals 1 : 4 , floor left parenthesis, cos squared StartNestedFraction, pi "n" NestedOver 4 , EndNestedFraction , right parenthesis equals 1 : 2 "n" , 1 , right brace , EndNestedFraction , right parenthesis , right parenthesis left bracket, "n" ...2 "n" minus 1 , right bracket , join left parenthesis, sin left parenthesis, StartNestedFraction, left bracket, 0... "n" minus 1 , right bracket 2 pi NestedOver "n" , EndNestedFraction plus StartNestedFraction, 2 pi NestedOver left brace, floor left parenthesis, cos squared StartNestedFraction, pi "n" plus pi NestedOver 2 , EndNestedFraction , right parenthesis equals 1 : 4 , floor left parenthesis, cos squared StartNestedFraction, pi "n" NestedOver 4 , EndNestedFraction , right parenthesis equals 1 : 2 "n" , 1 , right brace , EndNestedFraction , right parenthesis , sin left parenthesis, StartNestedFraction, left bracket, 0... "n" minus 1 , right bracket 2 pi NestedOver "n" , EndNestedFraction plus StartNestedFraction, 2 pi NestedOver left brace, floor left parenthesis, cos squared StartNestedFraction, pi "n" plus pi NestedOver 2 , EndNestedFraction , right parenthesis equals 1 : 4 , floor left parenthesis, cos squared StartNestedFraction, pi "n" NestedOver 4 , EndNestedFraction , right parenthesis equals 1 : 2 "n" , 1 , right brace , EndNestedFraction , right parenthesis , right parenthesis left bracket, "n" ...2 "n" minus 1 , right bracket , right parenthesis , right parenthesis Over 2 , EndFraction squared , right bracejoincos0...n−12πn+2πfloorcos2πn+π2=1:4,floorcos2πn4=1:2n,1,cos0...n−12πn+2πfloorcos2πn+π2=1:4,floorcos2πn4=1:2n,1n...2n−1−cos0...n−12πn+2πfloorcos2πn+π2=1:4,floorcos2πn4=1:2n,11...ny−sin0...n−12πn+2πfloorcos2πn+π2=1:4,floorcos2πn4=1:2n,11...n=joinsin0...n−12πn+2πfloorcos2πn+π2=1:4,floorcos2πn4=1:2n,1,sin0...n−12πn+2πfloorcos2πn+π2=1:4,floorcos2πn4=1:2n,1n...2n−1−sin0...n−12πn+2πfloorcos2πn+π2=1:4,floorcos2πn4=1:2n,11...nx−cos0...n−12πn+2πfloorcos2πn+π2=1:4,floorcos2πn4=1:2n,11...nx−meancos0...n−12πn+2πfloorcos2πn+π2=1:4,floorcos2πn4=1:2n,11...n,joincos0...n−12πn+2πfloorcos2πn+π2=1:4,floorcos2πn4=1:2n,1,cos0...n−12πn+2πfloorcos2πn+π2=1:4,floorcos2πn4=1:2n,1n...2n−12+y−meansin0...n−12πn+2πfloorcos2πn+π2=1:4,floorcos2πn4=1:2n,11...n,joinsin0...n−12πn+2πfloorcos2πn+π2=1:4,floorcos2πn4=1:2n,1,sin0...n−12πn+2πfloorcos2πn+π2=1:4,floorcos2πn4=1:2n,1n...2n−12≤distancecos0...n−12πn+2πfloorcos2πn+π2=1:4,floorcos2πn4=1:2n,11...n,sin0...n−12πn+2πfloorcos2πn+π2=1:4,floorcos2πn4=1:2n,11...n,joincos0...n−12πn+2πfloorcos2πn+π2=1:4,floorcos2πn4=1:2n,1,cos0...n−12πn+2πfloorcos2πn+π2=1:4,floorcos2πn4=1:2n,1n...2n−1,joinsin0...n−12πn+2πfloorcos2πn+π2=1:4,floorcos2πn4=1:2n,1,sin0...n−12πn+2πfloorcos2πn+π2=1:4,floorcos2πn4=1:2n,1n...2n−122

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