Please see the duplicate post of this question immediately above.

On Saturday, November 19, 2016 at 9:35:18 AM UTC-6, Maxie Schmidt wrote:
>
>
> <https://lh3.googleusercontent.com/-5GfOebutCfE/WDBr8AaSxVI/AAAAAAAAAJY/1mw_sLtVIKg3J4Zl76o1Jy-TQmNDBHPQwCLcB/s1600/generate-histogram3d-v1.png>
>  
> <https://lh3.googleusercontent.com/-pOdQ2JXJYgE/WDBtFvJWOSI/AAAAAAAAAJk/MFe5OpGHuTMnrkUHktVpV0gv1I3zdHbUACLcB/s1600/generate-histogram3d-v2.png>
>
> Hello, 
>
> I'm working with code that creates 2D histograms (3-dimensional plots) 
> from data in 2D tuples of the form (gap1, gap2). I have been using 
> Mathematica's Histogram3D function (
> https://reference.wolfram.com/language/ref/Histogram3D.html) to perform 
> the plotting after writing my tuple data to file. The resulting plots look 
> approximately like the previous images, where the second image is the 
> corresponding 2D density plot of the pair data. So far I have been able to 
> replicate the density plot with matplotlib using the following code: 
>
> import numpy as np
> import matplotlib as mpl
> import matplotlib.pyplot as plt
> from sage.all import *
> from sage.plot.histogram import Histogram
>
> def Histogram3D(xypoints, numbins):
>
>      xpoints = map(lambda (x, y): x, xypoints)
>      ypoints = map(lambda (x, y): y, xypoints)
>      minx, maxx, miny, maxy = min(xpoints), max(xpoints), \
>                               min(ypoints), max(ypoints)
>      xedges = np.arange(minx, maxx, (maxx - minx) / float(numbins))
>      yedges = np.arange(miny, maxy, (maxy - miny) / float(numbins))
>      H, xedges, yedges = np.histogram2d(ypoints, xpoints, bins = (xedges, 
> yedges))
>      
>      fig = plt.figure(figsize=(7, 3))
>      ax = fig.add_subplot(132)
>      ax.set_title('pcolormesh: exact bin edges')
>      X, Y = np.meshgrid(xedges, yedges)
>      ax.pcolormesh(X, Y, H)
>      ax.set_aspect('equal')
>      plt.savefig('./output/foo.png', bbox_inches='tight')
>
> ## def
>
> Is there an existing routine in Sage that will create the 3d-plotted data 
> like the first image with Mathematica's Histogram3D plot in the above 
> images? If not, please let me know if there is any interest in adding this 
> functionality to Sage's Histogram code. I would like to write this 
> extension if there's not already a function like it available in Sage. 
>
> Sincerely, 
>
> Maxie
>

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