JigmeDatse
asks
when a profile is defined by 2 points and a simple curve... Is it not a fact that it is "either concave, convex, or flat"? Because I don't see any fourth or further option. I mean... It seems I'm either "too much of a math nerd" or they just stated a literal... "If it's a binary value, it's either one or zero" type level of thing.
Arbieroo
thinks
this depends on the definition of a "simple curve."
JigmeDatse
thinks
simple curve... would "Bézier curve" or close enough ... Was on a video about the "primary bevel" of a knife.
Arbieroo
says
according to this:
Bézier curve - Wikipedia
Bézier curve - Wikipedia
Arbieroo
says
a two point Bezier curve would indeed be concave, convex or a straight line.
sef_lopod
thinks
also that it depends what is meant by a simple curve. 2 points only really defines a line, not a curve at all. The bezier stuff I do (which would include the example above) goes up to using 4 points, not just the 2 end points. So those could be in opposite directions for a wibble-wobble.
sef_lopod
says
meanwhile, concave vs convex is a matter of which side of the curve you're on!
sef_lopod
is
suspecting that they mean the concepts of y=mx+c for a line and y=ax2+bx+c for the simple curve, not the Bezier method. Otherwise a sine would count as a very simple curve sometimes.
JigmeDatse
says
JigmeDatse
is
just frustrated what seems to be "almost only possible to be the options presented". Not that it's really OK to not talk about it. I guess...
sef_lopod
draws
a lot of possible circles through 2 points. In polar co-ordinates you don't get much simpler than a circle. Or perhaps a set of spirals instead.
sef_lopod
thinks
the only genuinely simple thing is a line rather than a curve at all (in any number of dimensions, as long as space is "flat" to be "simple").