Annh! How about ‘overrightward’ and ‘overleftward’, of for that matter, ‘underleftward’ and underrightward’?
‘Over’ = above one’s center of vision when looking axially at the center of rotation. ‘Under’ = below it.
You prefer ‘screwily’ and ‘unscrewily’?
And if Archimedes had a spiral, he must’ve noted that, if he flipped it, it wound oppositely. Maybe ‘outright’ and ‘outleft’, or ‘inleft’ and ‘inright’.
And don’t leave out proto-engineer Ughy, who invented the wheel. He noted that when two wheels roll on the ground with an axle connecting them, when he pulled or pushed whatever sat between the two on a bearing about that axle, in the direction he normally wanted to go, points on the wheels’ rims rotated ‘progressively’; and when he moved the assembly in the opposite direction, they rotated ‘regressively’ – both these motions being observed when looking from the most reasonable direction, axially from beside the cart. I believe he preferred to call these directions ‘orple’ and ‘wample’. [No, don’t look for those prehistoric words in the OED. Ughy also invented a speech-recognition writing machine, but he couldn’t find an outlet to plug it into, so his language has been lost to prehistory.]
Ray, Sr. Screwy Word Inventor