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Old 12-13-2009, 01:46 PM   #1 (permalink)
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Default Musa 'Trigonometric'
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(!)

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Old 12-13-2009, 03:40 PM   #2 (permalink)
I think with my banana ;)
 
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Default Re: Musa 'Trigonometric'
You know Richard, it would look much better using Gauss' Plain and Euler's constant. At least it would be easier to use, ay?
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Old 12-13-2009, 03:46 PM   #3 (permalink)
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Default Re: Musa 'Trigonometric'
Wow, havent seen trigonometry in...wow!
Memories
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Old 12-13-2009, 04:29 PM   #4 (permalink)
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Default Re: Musa 'Trigonometric'
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You know Richard, it would look much better using Gauss' Plain and Euler's constant. At least it would be easier to use, ay?
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) ;
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Old 12-13-2009, 04:33 PM   #5 (permalink)
I think with my banana ;)
 
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Default Re: Musa 'Trigonometric'
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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.
To make this picture virtually virtual.
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Old 12-13-2009, 05:58 PM   #6 (permalink)
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Default Re: Musa 'Trigonometric'
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Impressive, but I meant more like Complex Calculus.
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!
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Old 12-27-2009, 07:57 PM   #7 (permalink)
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Default Re: Musa 'Trigonometric'
So everyday it grows virtually :^)
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Old 12-28-2009, 12:26 PM   #8 (permalink)
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Default Re: Musa 'Trigonometric'
Um..... Interpretor? Don't understand anything beyond 2+2=4
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Old 12-28-2009, 12:54 PM   #9 (permalink)
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Default Re: Musa 'Trigonometric'
Oh well. 2 + 2 = 10 base 4.
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Old 12-28-2009, 01:31 PM   #10 (permalink)
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Default Re: Musa 'Trigonometric'
beautiful image Richard.
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Old 12-28-2009, 04:41 PM   #11 (permalink)
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Default Re: Musa 'Trigonometric'
So will it fruit virtually eventually?
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Old 12-28-2009, 09:08 PM   #12 (permalink)
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Default Re: Musa 'Trigonometric'
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So will it fruit virtually eventually?
Yes, it could be some time though before a flag leaf emerges.
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Old 12-28-2009, 09:38 PM   #13 (permalink)
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Default Re: Musa 'Trigonometric'
make some banana pie r squared
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Old 12-28-2009, 11:19 PM   #14 (permalink)
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Default Re: Musa 'Trigonometric'
Are you kidding?
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Old 12-28-2009, 11:26 PM   #15 (permalink)
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Are you kidding?
no!
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