Mark thanks for an adventure into the clean air of abstract thought….
"This can be seen from the fact that to compute cos/sin/tan (which are the
mathematical primitives in some sense acting here) require a 'taylor' expansion
which is an infinite polynomial sequence (with order tending to infinity) which
converges to the required value. "
That not exactly what I thought, but what I "saw" hence my wonderment
about "sides"
"at the level of working out what pixels to render it is a polygon."
OK I can sleep now…
at a virtually visually non-existent segment flatness of .5 pixels
I give it a "Bézier existential" rating of "true arc"
as HH said… moving the puzzle tile through 360 points over 2 seconds looks as
smooth as a real "ball toss" in actual space (true arc)
Peace at last
BR
On 8/2/17, 9:43 AM, "use-livecode on behalf of Mark Waddingham via
use-livecode" <use-livecode-boun...@lists.runrev.com on behalf of
use-livecode@lists.runrev.com> wrote:
Basically if you set flatness to be 0.5 pixels then the human eye cannot
distinguish the difference (when taking into account the visual quantisation
that occurs - resolution of the screen and antialiasing more than makes up for
it).
So, at the level of the graphic object it is a true arc, at the level of
instructing the graphics library it is a Bézier approximation but at the level
of working out what pixels to render it is a polygon.
Whether that means the engine works in true ovals or not, I'll leave to
whatever existential proclivities you hold ;)
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