Graph Gallery, page 2 

The descriptions list the function/s which produced the graph and the range of the variable/s used.
Click the thumb-nail graphic for an enlarged version.
r=f(a,b) graph 1 r = (a + b)/(a*a + b*b)
a = 0 to 2pi, b = 0 to 2pi 		r=f(a,b) graph 2 r = 1/(a + b)
a = 0 to 2pi, b = 0 to 2pi
r=f(a,b) graph 3 r = (a + b)/a*b
a = 0 to 2pi, b = 0 to 2pi 		r=f(a,b) graph 4 r = a + b
a = 0 to 2pi, b = 0 to 2pi
y=f(x) 1 y = Sin(8/(x^2 + 1))
x = -5pi to 5 pi 		y=f(x) 2 y = Sin(x)+Sin(3*x)/3+Sin(5*x)/5+Sin(7*x)/7
+Sin(9*x)/9+Sin(11*x)/11+Sin(13*x)/13
Square wave synthesis
x = -3pi to 3pi
y=f(x) 2, Square wave synthesis r = a^2
Archimedes spiral
a = 0 to 10pi 		y=f(x) 3 r = 1/a
Hyperbolic spiral
a = 0 to 2pi
r=f(a) 1, Hyperbolic spiral r = 4*Cos(a)*(Sin(a)^2) - Cos(a)
Trifolium
a = -2pi to 2pi 		r=f(a) 2, Limaçon of Pascal r = 2*Cos(a) + n, (n = 1, 2 & 3)
Limaçon of Pascal
a = 0 to 2pi
x=f(t), y=f(t), 1 x = Cos(t) + t*Sin(t)
y = Sin(t) + t*Cos(t)
t = -2pi to 2pi 		x=f(t), y=f(t), 2 x = 2*Cos(t) + Cos(2*t)
y = 2*Sin(t) + Sin(2*t)
Deltoid
t = 0 to 2pi
x=f(t), y=f(t), 3 x = (t + 1)/(t^3 + 1)
y = (t + 1)/(t^2 + 1)
t = -100 to 100 		x=f(t), y=f(t), 3 x = (t^2 - 1)/(t^4 + 1)
y = (t^2 - 1)/(t^3 + 1)
t = -100 to 100