Thread: [Matplotlib-users] Ternary Plotting using Matplotlib

I saw some 3d ternary plots on the URL:
http://www.hca.com/index.php?id=76&L=0 that I'd love to recreate using
matplotlib.  Can anyone give me some general code examples of where I should
likely begin?
Thanks in advance!
Wil

On Tue, Sep 14, 2010 at 10:37 AM, Lab Rat <wi....@gm...> wrote:

> I saw some 3d ternary plots on the URL:
> http://www.hca.com/index.php?id=76&L=0 that I'd love to recreate using
> matplotlib.  Can anyone give me some general code examples of where I should
> likely begin?
> Thanks in advance!
> Wil
>
>
Ah, my wife showed me these plots once. odd little buggers...

As far as I know, these plots are not available in matplotlib at the
moment.  However, I might be persuaded to write up some code to do a 2D
version of it (3D version would come much, much later).  If I could get this
to work, I might finally convince my wife to switch from matlab/excel to
python!

Do you have any resources that explains how these graphs work?

Thanks,
Ben Root

I believe that Chloe Lewis may have posted about this before.  She has code
for doing some ternary plotting type stuff that may be a good place to start
for you:
http://nature.berkeley.edu/~chlewis/Sourcecode.html

Uri

On Wed, Sep 15, 2010 at 11:23, Benjamin Root <ben...@ou...> wrote:

> On Tue, Sep 14, 2010 at 10:37 AM, Lab Rat <wi....@gm...> wrote:
>
>> I saw some 3d ternary plots on the URL:
>> http://www.hca.com/index.php?id=76&L=0 that I'd love to recreate using
>> matplotlib.  Can anyone give me some general code examples of where I should
>> likely begin?
>> Thanks in advance!
>> Wil
>>
>>
> Ah, my wife showed me these plots once. odd little buggers...
>
> As far as I know, these plots are not available in matplotlib at the
> moment.  However, I might be persuaded to write up some code to do a 2D
> version of it (3D version would come much, much later).  If I could get this
> to work, I might finally convince my wife to switch from matlab/excel to
> python!
>
> Do you have any resources that explains how these graphs work?
>
> Thanks,
> Ben Root
>
>
>
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-- 
Uri Laserson
Graduate Student, Biomedical Engineering
Harvard-MIT Division of Health Sciences and Technology
M +1 917 742 8019
las...@mi...

Lab Rat, Ben;

Yes, you could use the ternary code I've put together to do the CAC  
plots in 2D; defining a complete triangular grid and triangular  
patches would be easy.

If I'm reading the examples correctly, all the third-dimension  
information duplicates the color information.

They're simpler than they look, Ben, which is part of their charm; we  
use them for any mixture of three elements where a+b+c is constant, so  
really they're 2D data. (Why bother, people ask? Because which of the  
elements is most interesting varies with the mixture and use, so we  
like having all three axes labeled. Note: many versions get one of the  
axes backwards.)

&C


On Sep 15, 2010, at 8:38 AM, Uri Laserson wrote:

> I believe that Chloe Lewis may have posted about this before.  She  
> has code for doing some ternary plotting type stuff that may be a  
> good place to start for you:
> http://nature.berkeley.edu/~chlewis/Sourcecode.html
>
> Uri
>
> On Wed, Sep 15, 2010 at 11:23, Benjamin Root <ben...@ou...> wrote:
> On Tue, Sep 14, 2010 at 10:37 AM, Lab Rat <wi....@gm...> wrote:
> I saw some 3d ternary plots on the URL: http://www.hca.com/index.php?id=76&L=0 
>  that I'd love to recreate using matplotlib.  Can anyone give me  
> some general code examples of where I should likely begin?
> Thanks in advance!
> Wil
>
>
> Ah, my wife showed me these plots once. odd little buggers...
>
> As far as I know, these plots are not available in matplotlib at the  
> moment.  However, I might be persuaded to write up some code to do a  
> 2D version of it (3D version would come much, much later).  If I  
> could get this to work, I might finally convince my wife to switch  
> from matlab/excel to python!
>
> Do you have any resources that explains how these graphs work?
>
> Thanks,
> Ben Root

On Wed, Sep 15, 2010 at 12:04 PM, Chloe Lewis <ch...@be...> wrote:

> Lab Rat, Ben;
>
> Yes, you could use the ternary code I've put together to do the CAC plots
> in 2D; defining a complete triangular grid and triangular patches would be
> easy.
>
> If I'm reading the examples correctly, all the third-dimension information
> duplicates the color information.
>
> They're simpler than they look, Ben, which is part of their charm; we use
> them for any mixture of three elements where a+b+c is constant, so really
> they're 2D data. (Why bother, people ask? Because which of the elements is
> most interesting varies with the mixture and use, so we like having all
> three axes labeled. Note: many versions get one of the axes backwards.)
>
> &C
>
>
Chloe,

For right now, I think we will just leave it to people utilizing your code
as is for right now.  Eventually, I would like to see about creating a
proper projection and axes object to provide general functionality, but I
will not be able to work on that for about a month.

Ben Root

I was looking for some ternary plots too.  I started with Chloe's code and
got it running (thanks!).  I'd like to be able to plot trajectories of
chemical composition over time from a simulation.  I saw that it would be
difficult to plot many points to make a curve using the existing code.  

Chloe noted that it might be good to use matplotlib's projection classes and
methods.  I took a stab at it, but I'm stuck and out of time for now.  I
made some progress (code and image attached).  However, it has problems that
would have to be fixed to create serious plots for publications and whatnot.  

Anyways, here it is... I hope someone with more experience with matplotlib
might know what to do.  I've noted the issues in the code.

Thanks,

Kevin

http://old.nabble.com/file/p31721702/ternary.png ternary.png 

http://old.nabble.com/file/p31721702/ternary.py ternary.py 

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