Question

I want to draw a Minkowski diagram. It includes two different axis, one for each system, they are, however, not all orthogonal. Is there a way to plot a pair of axis for one system non-orthogonal?

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Solution

Here's an example using AxisArtist and GridHelperCurveLinear, which is modified from here.

enter image description here

import numpy as np
import matplotlib.pyplot as plt
from  mpl_toolkits.axisartist.grid_helper_curvelinear import GridHelperCurveLinear
from mpl_toolkits.axisartist import Subplot

def curvelinear_test1(fig):
    def tr(x, y):
        x, y = np.asarray(x), np.asarray(y)
        return .8*x+.2*y, .2*x + .8*y
    def inv_tr(x,y):
        x, y = np.asarray(x), np.asarray(y)
        return 1.333*x + -.333*y, -.333*x + 1.333*y

    grid_helper = GridHelperCurveLinear((tr, inv_tr))
    ax1 = Subplot(fig, 1, 1, 1, grid_helper=grid_helper)
    fig.add_subplot(ax1)

    xx, yy = tr([3, 6], [5.0, 10.])
    ax1.plot(xx, yy)

    ax1.set_aspect(1.)
    ax1.set_xlim(-10, 10.)
    ax1.set_ylim(-10, 10.)

    ax1.axis["t"]=ax1.new_floating_axis(0, 0.)
    ax1.axis["t2"]=ax1.new_floating_axis(1, 0.)
    ax1.grid(True)

fig = plt.figure()
curvelinear_test1(fig)
plt.show()
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