Skip to content

Instantly share code, notes, and snippets.

Show Gist options
  • Save asahidari/0a4782827cb34412a7638395c46480d2 to your computer and use it in GitHub Desktop.
Save asahidari/0a4782827cb34412a7638395c46480d2 to your computer and use it in GitHub Desktop.
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Riemann Minimal Surface with sympy\n",
"### 1. Define variable parameters and functions\n",
"Creating mathematical functions to generate the surface, following this article:\n",
"\n",
"http://wpd.ugr.es/~jperez/wordpress/wp-content/uploads/14-.pdf"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import sympy as sp\n",
"from sympy import symbols, re, im, I\n",
"from sympy.functions.special.elliptic_integrals import elliptic_f, elliptic_e\n",
"\n",
"s_ = 2.0\n",
"e_ = 0.01 # <- Easy to connect with the rotated surface when exported in STL format\n",
"\n",
"# symbols\n",
"r, t = symbols('r t')\n",
"s, z, a, e = symbols('s z a e')\n",
"\n",
"# mobius transformation\n",
"f = (-a**2 * (1.+e**2) * (-1.+z) - 2*a * (-3.+e**2) * z - (1.+e**2) * (1.+z) \\\n",
" + sp.sqrt(4 * (-1.+a)**2 * e**2 + (1.+a)**2 * (-1.+e**2)**2) * (1.+a*(-1.+z)+z)) \\\n",
" * (2 * sp.sqrt(4 * (-1.+a)**2 * e**2 + (1.+a)**2 * (-1.+e**2)**2) \\\n",
" -2 * ( (1.+a) * (-1.+e**2) - 2 * (-1.+a) * z ))\n",
"\n",
"# three coordinate functions\n",
"x1 = (1./sp.sqrt(s)) * ((sp.sqrt((-1.+z)/z)) * (sp.sqrt(z+s)) \\\n",
" + (1./sp.sqrt(1.+s)) * (2 * ((-1.-s) * elliptic_e(sp.asin(sp.sqrt(1.+(z/s))), (s/(1.+s))) \\\n",
" + elliptic_f(sp.asin(sp.sqrt(1.+(z/s))), (s/(1.+s))))))\n",
"x2 = -(sp.sqrt( (-1.+z)/(-s*z) )) * (sp.sqrt(s+z))\n",
"x3 = (-2./sp.sqrt(s)) * elliptic_f(sp.asin(sp.sqrt(s)/sp.sqrt(s+z)), ((1.+s)/s))\n",
"\n",
"# origin\n",
"v0_1 = -2 * sp.im ((1./sp.sqrt(-(1+s)*s))\n",
" * ((-1.-s) * elliptic_e(sp.asin(sp.sqrt((1.+s)/s)), (s/(1.+s))) \\\n",
" + elliptic_f(sp.asin(sp.sqrt((1.+s)/s)), (s/(1.+s)))))\n",
"v0_2 = 0.0\n",
"v0_3 = -2 * sp.re((1./sp.sqrt(s)) * elliptic_f(sp.asin(sp.sqrt(s/(1.+s))), ((1.+s)/s)))\n",
"\n",
"# plotting functions\n",
"psi_x = sp.re(x1) - (v0_1)\n",
"psi_y = sp.re(x2) - (v0_2)\n",
"psi_z = sp.re(x3) - (v0_3)\n",
"f_z = f.subs([(z, (r * sp.exp(I * sp.pi * t))), (a, s_), (e, e_)])\n",
"z_line = sp.sqrt(2.) * I\n",
"\n",
"# XYZ values for surfaces\n",
"X = psi_x.subs([(s, s_), (z, f_z)])\n",
"Y = psi_y.subs([(s, s_), (z, f_z)])\n",
"Z = psi_z.subs([(s, s_), (z, f_z)])\n",
"\n",
"# XYZ values for rotation axis parallel to y-axis\n",
"Xl = psi_x.subs([(s, s_), (z, z_line)])\n",
"Yl = psi_y.subs([(s, s_), (z, z_line)]) + t*1\n",
"Zl = psi_z.subs([(s, s_), (z, z_line)])\n",
"\n",
"# *** workaround for displaying in a moderate size box ***\n",
"# draw cross, not a line paralel to z axis\n",
"# due to plot3d_parametric_line's problem to plot constant functions -> https://github.com/sympy/sympy/issues/10529\n",
"zl_ = float(Zl)\n",
"Zl1_ = zl_ + t*0.5\n",
"Zl2_ = zl_ - t*0.5\n",
"\n",
"\n",
"# rotated around y-axis (, and later, need to shift to the rotation center point)\n",
"# when add 2*Xl or 2*Zl here, plotting will probably not work properly\n",
"Xr = -psi_x.subs([(s, s_), (z, f_z)]) # + 2.*Xl\n",
"Yr = psi_y.subs([(s, s_), (z, f_z)])\n",
"Zr = -psi_z.subs([(s, s_), (z, f_z)]) # + 2.*Zl\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 2. Plot 3d surfaces\n",
"Plot the surface with the rotation axis"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"from sympy.plotting import plot3d_parametric_surface, plot3d_parametric_line\n",
"\n",
"# plot 3d surface\n",
"p1 = plot3d_parametric_surface(X, Y, Z, (r, e_, 1.), (t, 0., 1.), \\\n",
" xlim=(-10, 10), ylim=(-10, 10), show=False)\n",
"p2 = plot3d_parametric_line((Xl, Yl, Zl, (t, -8., 8.)), \\\n",
" (Xl, Yl, Zl1_, (t, -8., 8.)), \\\n",
" (Xl, Yl, Zl2_, (t, -8., 8.)), \\\n",
" xlim=(-10, 10), ylim=(-10, 10), show=False)\n",
"p3 = plot3d_parametric_surface((Xr+2.*Xl, Yr, Zr+2*Zl, (r, e_, 1.), (t, 0., 1.)), \\\n",
" xlim=(-10, 10), ylim=(-10, 10), show=False)\n",
"p4 = plot3d_parametric_surface((X, -Y, Z, (r, e_, 1.), (t, 0., 1.)), \\\n",
" (Xr+2.*Xl, -Yr, Zr+2*Zl, (r, e_, 1.), (t, 0., 1.)), \\\n",
" xlim=(-10, 10), ylim=(-10, 10), show=False)\n",
"\n",
"p2.append(p1[0])\n",
"\n",
"# this may requires huge time\n",
"p2.append(p3[0])\n",
"p2.append(p4[0])\n",
"p2.append(p4[1])\n",
"\n",
"p2.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 3. Export the surface to stl format file\n",
"Generating numpy arrays from sympy symbols"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"from sympy.utilities.lambdify import lambdify\n",
"\n",
"# parameters\n",
"r0 = np.linspace(e_, 1.0, 30)\n",
"t0 = np.linspace(0.0, 1.0, 30)\n",
"r_, t_ = np.meshgrid(r0, t0)\n",
"r_, t_ = r_.flatten(), t_.flatten()\n",
"\n",
"X_ = lambdify((r, t), X, \"mpmath\")\n",
"Y_ = lambdify((r, t), Y, \"mpmath\")\n",
"Z_ = lambdify((r, t), Z, \"mpmath\")\n",
"\n",
"X_npf = np.frompyfunc(X_, 2, 1)\n",
"Y_npf = np.frompyfunc(Y_, 2, 1)\n",
"Z_npf = np.frompyfunc(Z_, 2, 1)\n",
"\n",
"X_np = X_npf(r_, t_).astype(float)\n",
"Y_np = Y_npf(r_, t_).astype(float)\n",
"Z_np = Z_npf(r_, t_).astype(float)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 4.Check the projection on XY plane\n",
"Confirming the projection on XY plane with adjusting the 'e' parameter"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x11b66f438>]"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"plt.plot(X_np, Y_np)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 5. Exporting the surface to a STL file\n",
"Generating a 3d mesh surface in STL format to use it in other 3d softwares."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"from scipy.spatial import Delaunay\n",
"import surf2stl_python.surf2stl as s2s\n",
"\n",
"delaunay_tri = Delaunay(np.array([r_, t_]).T)\n",
"s2s.tri_write('output_sp.stl', X_np, Y_np, Z_np, delaunay_tri)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Exporting the rotated surface (, if you need)"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Wrote 1682 facets\n"
]
}
],
"source": [
"Xr_ = lambdify((r, t), Xr+2*Xl, \"mpmath\")\n",
"Yr_ = lambdify((r, t), Yr, \"mpmath\")\n",
"Zr_ = lambdify((r, t), Zr+2*Zl, \"mpmath\")\n",
"\n",
"Xr_npf = np.frompyfunc(Xr_, 2, 1)\n",
"Yr_npf = np.frompyfunc(Yr_, 2, 1)\n",
"Zr_npf = np.frompyfunc(Zr_, 2, 1)\n",
"\n",
"Xr_np = Xr_npf(r_, t_).astype(float)\n",
"Yr_np = Yr_npf(r_, t_).astype(float)\n",
"Zr_np = Zr_npf(r_, t_).astype(float)\n",
"\n",
"delaunay_tri = Delaunay(np.array([r_, t_]).T)\n",
"s2s.tri_write('output_sp_inv.stl', Xr_np, Yr_np, Zr_np, delaunay_tri)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Appendix 1. Plotting with the rotated and mirrored pieces\n",
"Viewing the pieces without the rotation axis"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"from sympy.plotting import plot3d_parametric_surface, plot3d_parametric_line\n",
"\n",
"# plot 3d surface\n",
"p = plot3d_parametric_surface((X, Y, Z, (r, e_, 1.), (t, 0., 1.)), \\\n",
" (Xr+2.*Xl, Yr, Zr+2*Zl, (r, e_, 1.), (t, 0., 1.)), \\\n",
" (X, -Y, Z, (r, e_, 1.), (t, 0., 1.)), \\\n",
" (Xr+2.*Xl, -Yr, Zr+2*Zl, (r, e_, 1.), (t, 0., 1.)), \\\n",
" xlim=(-10, 10), ylim=(-10, 10), show=False)\n",
"p.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Appendix 2. Plotting the original piece\n",
"Displaying the original piece only"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"from sympy.plotting import plot3d_parametric_surface, plot3d_parametric_line\n",
"\n",
"# plot 3d surface\n",
"p_ = plot3d_parametric_surface((X, Y, Z, (r, e_, 1.), (t, 0., 1.)), \\\n",
"# (Xr+2.*Xl, Yr, Zr+2*Zl, (r, e_, 1.), (t, 0., 1.)), \\\n",
"# (X, -Y, Z, (r, e_, 1.), (t, 0., 1.)), \\\n",
"# (Xr+2.*Xl, -Yr, Zr+2*Zl, (r, e_, 1.), (t, 0., 1.)), \\\n",
" xlim=(-10, 10), ylim=(-10, 10), show=False)\n",
"p_.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.6"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
@fewerjunk
Copy link

fewerjunk commented Dec 23, 2020

I'm confused. Here's an example of "Riemann" from the application MathMod. Seems simpler. Missing something?

Riemann_MathMod_JPG

@asahidari
Copy link
Author

asahidari commented Jan 2, 2021

Sorry for my late reply.

I can not say exactly what Mathmod draws as 'Riemann' surface, but probably the 'Riemann' surface (not minimal?) and 'Riemann's minimal surface' are essentially different.
My code is based on the following paper, images of which are created with mathematica.
https://arxiv.org/pdf/1609.05660.pdf

@fewerjunk
Copy link

fewerjunk commented Jan 2, 2021 via email

@asahidari
Copy link
Author

Thank you too, for the quick reply and the insightful question 😄!

Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment