Werner Exinger написал(а):
Why be content with seven when you can have eleven or more ?
Regards
WE
We have 7 operators in Mathcad
Werner Exinger написал(а):
> 5. black^blue=const
Nice, but the unit "m^m" is still wrong 😉
What about the "???"
Why wrong?
I'm going to do at my dacha for a bed of flowers in the form of this oval with a physical characteristic constant 7 (m^m), not 6 (ft^m) or 5 (m^ft)!
> ??? - I do not know what is this little close curve 
> Why wrong?
We had that discussion already in the other thread, so I won't repeat it here. Just one thought: (2m)^(3m) = 2^(3m) * m^(3m) = 8^m * (m^3)^m. So its NOT 8 m^m . Now do the same game with different numbers!
> I'm going to do at my dacha for a bed of flowers in the form of this oval
Why not, if a simple ellipse is not challenging enough 😉
> with a physical characteristic
Sorry, but its no physical characteristics and its a characteristic dealing with the numbers only, not the units. But it sure is a nice leisure activity anyway.
> > ??? - I do not know what is this little close curve
Obviously, if you did not make a mistake, its part of the solution curve. Just give it a try and see, if black^blue still is 4.
EDIT: There is a mistake: If L<1, then L2 would be negative and no solution exists!! But your "Coord" yields solution because L2 (as radius) is squared in the circle equation. You have to take care of this and simply let L run from1 upwards (L=1 would provoke a divison by zero, of course which could be dealt with an on error statement).
Here are some curves which should scale. Simply stay with basic commutative operations + and * and simply use more points:
Here the points whose sum of distance from five points is constant:
Werner Exinger написал(а):
Here are some curves which should scale. Simply stay with basic commutative operations + and * and simply use more points:
Here the points whose sum of distance from five points is constant:
Animation:
And here is the same with constant product of distances
Guess I have finished playing around with those curves. Can't think of a way to derive a closed parametric equation for those beasts.
Werner Exinger написал(а):
And here is the same with constant product of distances
Guess I have finished playing around with those curves. Can't think of a way to derive a closed parametric equation for those beasts.
It is a lemniscate with 5 focuses - see please Лемниската — Википедия
