What is the method to make 0 the color center while utilizing PatchCollection in python?

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You can use the normalize method from the matplotlib.colors module to normalize the data to the range of [0,1], and then pass this normalized data to the PatchCollection as the facecolors parameter. This will result in the center color being represented as 0.

Here's an example code snippet:

import matplotlib.pyplot as plt
import matplotlib.colors as colors
from matplotlib.patches import Rectangle
from matplotlib.collections import PatchCollection
import numpy as np

# Sample data
data = np.random.rand(5,5)

# Normalize the data to [0,1]
norm = colors.Normalize(vmin=0, vmax=1)

# Create patches
patches = []
for i in range(5):
    for j in range(5):
        # Create a rectangle for each data point
        x = j
        y = i
        width = 1
        height = 1
        rect = Rectangle((x,y), width, height)
        patches.append(rect)

# Create a PatchCollection with the normalized data
pc = PatchCollection(patches, cmap='coolwarm', edgecolor='black',
                     linewidth=1, alpha=0.8, facecolor=norm(data))

# Set colorbar
cbar = plt.colorbar(pc)
cbar.ax.set_ylabel("Data")

# Set axis limits
plt.xlim(0,5)
plt.ylim(0,5)

# Show plot
plt.show()

In this example, the vmin and vmax parameters of the Normalize method are set to 0 and 1, respectively, to ensure that the color range is normalized to that range. The cmap parameter is set to "coolwarm" to provide a diverging colormap.