Answer
See image below.
Work Step by Step
First, define r as a (positive) function of $\theta$
Then build a table of values for $\theta=0,\pi/12,\pi/6,...$
(start with 0, add $\pi/12 $ to next $\theta$)
and for each $\theta$ calculate
x coordinate = $ f(\theta)\cdot\cos\theta,\qquad y=f(\theta)\cdot\sin\theta$
Here, r can be $\pm$ (can be a negative square root), so we make a table
for the negative values.
Plot the points and join with a smooth curve.
(Work done in geogebra.)
The curve has two spiral "arms".
