Interactive Pythagoras theorem

A simple demo of a an interactive triangle with the Pythagorean squares.

• Features

  • Graphics-driven assignments

  • Inverse assignment

  • Binary operators

• Try me

  • Try adjusting the legs of the triangle or any of the vertices of the squares.

from pyquibbler import iquib, initialize_quibbler, quiby, reset_random_quibs
initialize_quibbler()

import matplotlib.pyplot as plt
import numpy as np
%matplotlib osx

# Prepare figure
plt.figure(0, figsize=(7, 7))
plt.clf()
plt.axis([-6, 10, -6, 10])
plt.axis('square')
plt.xticks(np.arange(-6, 12, 2))
plt.yticks(np.arange(-6, 12, 2))
plt.axvline(0, linewidth=0.5, color='k')
plt.axhline(0, linewidth=0.5, color='k');

# Define triangle legs:
ab = iquib([3., 4.])
a, b = ab

# Draw triangle:
plt.plot([0, a, 0, 0], [0, 0, b, 0], color='black')

# Draw squares:
plt.plot([0, 0, a, a], [0, -a, -a, 0], color='red')
plt.plot([0, -b, -b, 0], [0, 0, b, b], color='green')
plt.plot([0, b, a+b, a], [b, b+a, a, 0], color='blue')

# Add area text:
props = dict(ha='center', va='center', fontsize=16)
plt.text(a/2, -a/2, round(a**2, 1), **props)
plt.text(-b/2, b/2, round(b**2, 1), **props)
plt.text((a+b)/2, (a+b)/2, round(a**2 + b**2, 1), **props);