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Python

Here is some Python code for GA environment setup:

from clifford.g2c import *

point = up(2 * e1 + e2)
line = up(3 * e1 + 2 * e2) ^ up(3 * e1 - 2 * e2) ^ einf
circle = up(e1) ^ up(-e1 + 2 * e2) ^ up(-e1 - 2 * e2)

# point and line reflected in the circle

point_refl = circle * point.gradeInvol() * ~circle
line_refl = circle * line.gradeInvol() * ~circle

# pyganja
from pyganja import GanjaScene, draw
import pyganja; pyganja.__version__

# GanjaScene: build scenes out of geometric objects, with attached labels and RGB colors:

sc = GanjaScene()
sc.add_object(point, color=(255, 0, 0), label='point')
sc.add_object(line, color=(0, 255, 0), label='line')
sc.add_object(circle, color=(0, 0, 255), label='circle')

sc_refl = GanjaScene()
sc_refl.add_object(point_refl, color=(128, 0, 0), label='point_refl')
sc_refl.add_object(line_refl, color=(0, 128, 0), label='line_refl')

draw(sc, sig=layout.sig, scale=0.5)
draw(sc + sc_refl, sig=layout.sig, scale=0.5) # A cool feature of GanjaScene is the ability to use "+" to draw both scenes together:

# mpl_toolkits.clifford

from matplotlib import pyplot as plt
plt.ioff()  # we'll ask for plotting when we want it

# if you're editing this locally, you'll get an interactive UI if you uncomment the following
#
#    %matplotlib notebook

from mpl_toolkits.clifford import plot
import mpl_toolkits.clifford; mpl_toolkits.clifford.__version__

# standard matplotlib stuff - construct empty plots side-by-side, and set the scaling
fig, (ax_before, ax_both) = plt.subplots(1, 2, sharex=True, sharey=True)
ax_before.set(xlim=[-4, 4], ylim=[-4, 4], aspect='equal')
ax_both.set(xlim=[-4, 4], ylim=[-4, 4], aspect='equal')

# plot the objects before reflection on both plots
for ax in (ax_before, ax_both):
    plot(ax, [point], color='tab:blue', label='point', marker='x', linestyle=' ')
    plot(ax, [line], color='tab:green', label='line')
    plot(ax, [circle], color='tab:red', label='circle')

# plot the objects after reflection, with thicker lines
plot(ax_both, [point_refl], color='tab:blue', label='point_refl',  marker='x', linestyle=' ', markeredgewidth=2)
plot(ax_both, [line_refl], color='tab:green', label='line_refl', linewidth=2)

fig.tight_layout()
ax_both.legend()

# show the figure
fig

And here is some C# code:

private static string GetMessageFromException(Exception ex)
{
    if (ex == null) return "";
    if (ex.InnerException != null)
    {
        return GetMessageFromException(ex.InnerException);
    }
    return ex.Message;
}

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