Social Media Hexbin Analysis

import matplotlib.pyplot as plt
import numpy as np
from matplotlib.colors import LinearSegmentedColormap

# Social media data
np.random.seed(42)
n_posts = 12000

reach = np.random.lognormal(8, 1.2, n_posts)
reach = np.clip(reach, 100, 500000) / 1000

base_engagement = 8 - 1.5 * np.log10(reach + 1)
engagement = base_engagement + np.random.normal(0, 1.5, n_posts)
engagement = np.clip(engagement, 0.5, 15)

# Modern purple theme on white
fig, ax = plt.subplots(figsize=(10, 8), facecolor='#ffffff')
ax.set_facecolor('#faf5ff')

colors = ['#faf5ff', '#f3e8ff', '#e9d5ff', '#d8b4fe', '#c084fc', 
          '#a855f7', '#9333ea', '#7e22ce', '#6b21a8', '#581c87']
cmap = LinearSegmentedColormap.from_list('purple', colors, N=256)

hb = ax.hexbin(reach, engagement, gridsize=35, cmap=cmap, mincnt=1,
               edgecolors='white', linewidths=0.3)

ax.axhline(y=10, color='#9333ea', linestyle='--', alpha=0.7, linewidth=2, label='Viral Threshold')

from matplotlib.patches import Ellipse
sweet_spot = Ellipse((20, 6), 30, 4, fill=False, edgecolor='#22c55e', 
                      linewidth=2, linestyle='-', alpha=0.8)
ax.add_patch(sweet_spot)
ax.text(20, 6, 'Sweet Spot', fontsize=10, color='#22c55e', ha='center', fontweight='600')

cbar = plt.colorbar(hb, ax=ax, pad=0.02, shrink=0.85)
cbar.set_label('Post Count', fontsize=11, color='#581c87', labelpad=10)
cbar.ax.yaxis.set_tick_params(color='#7e22ce')
cbar.outline.set_edgecolor('#e9d5ff')
plt.setp(plt.getp(cbar.ax.axes, 'yticklabels'), color='#7e22ce', fontsize=9)

ax.set_xlabel('Reach (thousands)', fontsize=12, color='#581c87', fontweight='600', labelpad=12)
ax.set_ylabel('Engagement Rate (%)', fontsize=12, color='#581c87', fontweight='600', labelpad=12)
ax.set_title('Social Media Engagement Analysis', fontsize=16, color='#3b0764', 
             fontweight='700', pad=20)

ax.tick_params(colors='#7e22ce', labelsize=10, length=0)
ax.spines['top'].set_visible(False)
ax.spines['right'].set_visible(False)
ax.spines['left'].set_color('#e9d5ff')
ax.spines['bottom'].set_color('#e9d5ff')

ax.legend(loc='upper right', fontsize=10, frameon=True, facecolor='white', 
          edgecolor='#e9d5ff', labelcolor='#581c87')
ax.grid(True, alpha=0.3, color='#e9d5ff', linestyle='-', linewidth=0.5)
ax.set_axisbelow(True)

plt.tight_layout()
plt.show()