To make a Cardioid you need two circles where one moves around the curve of the other as shown below, a envelope Cardioid can have any number of envelopes but the one that really works with Phi is below under Envelope Cardioid, all lines goes through smaller circle at ten equal points which is very important, i'll explain why soon, please scroll down link to see envelope cardioid:-
Why are Quintiles creative? Does Plato tell us anything? Could it be the creative Cosmos?
The curve given by the polar equation r=a(1-costheta), (1) sometimes also written r=2b(1-costheta), (2) where b=a/2. The cardioid has Cartesian equation (x^2+y^2+ax)^2=a^2(x^2+y^2), (3) and the parametric equations x = acost(1-cost) (4) y = asint(1-cost). (5) The cardioid is a...