Cross Patty (cross pattée)

max( f(abs(x), abs(y)), f(abs(y), abs(x)) ) > 0

(1) f(x,y) = ax^2 - y + b  (parabola)

a = 0.035, b = 0.85

(2) f(x,y) = x^2 + (y - a)^2 - b^2  (circle)

a = 15.6, b = 14.75

(3) f(x,y) = abs(x)^p + abs(y - a)^p - b^p  (superellipse)

a = 15.6, b = 14.75

p = 2.5, 2.4, 2.3, ...,1.5

p = 4, a = 10, b = 8

(4) f(x,y) = a[exp(-abs(x+b)^p) + exp(-abs(x-b)^p)] - y + c

p = 1.5, a = 1, b = 7, c = 2

p = 3, a = 1, b = 7, c = 2

(5) f(x,y) = a cos(bx)^p - y + c

p = 1, a = -1, b = π/7, c = 2

p = 2, a = 1, b = π/7, c = 2

p = 3, a = -1, b = π/7, c = 2

p = 4, a = 1, b = π/7, c = 2

( Mathematical software used: Graph )