This thread might help.
Helix torus problem
posts #3 and #6 in particular
At a quick glance
R1 is the big radius, the radius of the toroid.
R2 is cross radius, the width of the ribbon.
$\beta$ controls how many turns of the ribbon in a full circle.
For a full circle $t:[0,2\pi]$
You will have $\beta$ turns per circle.
R1 is equivalent to R in my mathematica sheet
R2 I have set in code to be 1
$\beta$ corresponds with my $\omega$