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Richard
12-13-2009, 01:46 PM
I spent the last few days updating my business logo. Of course I had to have a banana plant in it. For that I created:

Musa 'Trigonometric' -- available only in image format(!)

http://www.plantsthatproduce.com/ptp200.png

Jack Daw
12-13-2009, 03:40 PM
You know Richard, it would look much better using Gauss' Plain and Euler's constant. At least it would be easier to use, ay? ;) :nanadrink:

Dalmatiansoap
12-13-2009, 03:46 PM
Wow, havent seen trigonometry in...wow!
Memories ;)
:woohoonaner:

Richard
12-13-2009, 04:29 PM
You know Richard, it would look much better using Gauss' Plain and Euler's constant. At least it would be easier to use, ay? ;) :nanadrink:

OK, I used a Gaussian distribution for the fruit in the passion fruit vine along the back and Euler's natural logarithm to compute the thickness of lines, but that was about it:

int boldings = (int) Math.floor(0.49 + Math.log((double) (sidemeasure * (double) 1.0)) / Math.log(16.0)) ;

Otherwise I calculated points on the outline by taking trigonometric steps:

int banana17thX = banana16thX + (int) Math.floor(0.49 + ((double) ((3 * offset20) / 2) * Math.sin(Math.toRadians(20)))) ;
int banana17thY = banana16thY + (int) Math.floor(0.49 + ((double) ((3 * offset20) / 2) * Math.cos(Math.toRadians(20)))) - (3 * boldings) ;

Jack Daw
12-13-2009, 04:33 PM
OK, I used a Gaussian distribution for the fruit in the passion fruit vine along the back and Euler's natural logarithm to compute the thickness of lines, but that was about it:

int boldings = (int) Math.floor(0.49 + Math.log((double) (sidemeasure * (double) 1.0)) / Math.log(16.0)) ;

Otherwise I calculated points on the outline by taking trigonometric steps:

int banana17thX = banana16thX + (int) Math.floor(0.49 + ((double) ((3 * offset20) / 2) * Math.sin(Math.toRadians(20)))) ;
int banana17thY = banana16thY + (int) Math.floor(0.49 + ((double) ((3 * offset20) / 2) * Math.cos(Math.toRadians(20)))) - (3 * boldings) ;
Impressive, but I meant more like Complex Calculus. :ha:
To make this picture virtually virtual.

Richard
12-13-2009, 05:58 PM
Impressive, but I meant more like Complex Calculus. :ha:

Oh, but the rate of growth of shrubs in the foreground are computed from PDE's of ellipses in the Z-plane !

And since the positions of leaves, fruit, etc. are each computed from independent pseudo-random number generators: the picture is both virtual and irrational -- because no two generated images are identical!

Abnshrek
12-27-2009, 07:57 PM
So everyday it grows virtually :^)

conejov
12-28-2009, 12:26 PM
Um..... Interpretor? Don't understand anything beyond 2+2=4

Richard
12-28-2009, 12:54 PM
Oh well. 2 + 2 = 10 base 4.

jeffreyp
12-28-2009, 01:31 PM
beautiful image Richard.

Abnshrek
12-28-2009, 04:41 PM
So will it fruit virtually eventually?

Richard
12-28-2009, 09:08 PM
So will it fruit virtually eventually?

Yes, it could be some time though before a flag leaf emerges.

jeffreyp
12-28-2009, 09:38 PM
make some banana pie r squared

john_ny
12-28-2009, 11:19 PM
Are you kidding?

Richard
12-28-2009, 11:26 PM
Are you kidding?

no!