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"""
.. _parametric_example:
Parametric Geometric Objects
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Creating parametric objects from :ref:`parametric_api`.
"""
from __future__ import annotations
from math import pi
# sphinx_gallery_thumbnail_number = 12
import pyvista as pv
# %%
# This example demonstrates how to plot parametric objects using pyvista
#
# Supertoroid
# +++++++++++
supertoroid = pv.ParametricSuperToroid(n1=0.5)
supertoroid.plot(color='lightblue', smooth_shading=True)
# %%
# Parametric Ellipsoid
# ++++++++++++++++++++
# Ellipsoid with a long x axis
ellipsoid = pv.ParametricEllipsoid(10, 5, 5)
ellipsoid.plot(color='lightblue')
# %%
# Partial Parametric Ellipsoid
# ++++++++++++++++++++++++++++
# cool plotting direction
cpos = [
(21.9930, 21.1810, -30.3780),
(-1.1640, -1.3098, -0.1061),
(0.8498, -0.2515, 0.4631),
]
# half ellipsoid
part_ellipsoid = pv.ParametricEllipsoid(10, 5, 5, max_v=pi / 2)
part_ellipsoid.plot(color='lightblue', smooth_shading=True, cpos=cpos)
# %%
# Pseudosphere
# ++++++++++++
pseudosphere = pv.ParametricPseudosphere()
pseudosphere.plot(color='lightblue', smooth_shading=True)
# %%
# Bohemian Dome
# +++++++++++++
bohemiandome = pv.ParametricBohemianDome()
bohemiandome.plot(color='lightblue')
# %%
# Bour
# ++++
bour = pv.ParametricBour()
bour.plot(color='lightblue')
# %%
# Boy's Surface
# +++++++++++++
boy = pv.ParametricBoy()
boy.plot(color='lightblue')
# %%
# Catalan Minimal
# +++++++++++++++
catalanminimal = pv.ParametricCatalanMinimal()
catalanminimal.plot(color='lightblue')
# %%
# Conic Spiral
# ++++++++++++
conicspiral = pv.ParametricConicSpiral()
conicspiral.plot(color='lightblue')
# %%
# Cross Cap
# +++++++++
crosscap = pv.ParametricCrossCap()
crosscap.plot(color='lightblue')
# %%
# Dini
# ++++
dini = pv.ParametricDini()
dini.plot(color='lightblue')
# %%
# Enneper
# +++++++
enneper = pv.ParametricEnneper()
enneper.plot(cpos="yz")
# %%
# Figure-8 Klein
# ++++++++++++++
figure8klein = pv.ParametricFigure8Klein()
figure8klein.plot()
# %%
# Henneberg
# +++++++++
henneberg = pv.ParametricHenneberg()
henneberg.plot(color='lightblue')
# %%
# Klein
# +++++
klein = pv.ParametricKlein()
klein.plot(color='lightblue')
# %%
# Kuen
# ++++
kuen = pv.ParametricKuen()
kuen.plot(color='lightblue')
# %%
# Mobius
# ++++++
mobius = pv.ParametricMobius()
mobius.plot(color='lightblue')
# %%
# Plucker Conoid
# ++++++++++++++
pluckerconoid = pv.ParametricPluckerConoid()
pluckerconoid.plot(color='lightblue')
# %%
# Random Hills
# ++++++++++++
randomhills = pv.ParametricRandomHills()
randomhills.plot(color='lightblue')
# %%
# Roman
# +++++
roman = pv.ParametricRoman()
roman.plot(color='lightblue')
# %%
# Super Ellipsoid
# +++++++++++++++
superellipsoid = pv.ParametricSuperEllipsoid(n1=0.1, n2=2)
superellipsoid.plot(color='lightblue')
# %%
# Torus
# +++++
torus = pv.ParametricTorus()
torus.plot(color='lightblue')
# %%
# Circular Arc
# ++++++++++++
pointa = [-1, 0, 0]
pointb = [0, 1, 0]
center = [0, 0, 0]
resolution = 100
arc = pv.CircularArc(pointa, pointb, center, resolution)
pl = pv.Plotter()
pl.add_mesh(arc, color='k', line_width=4)
pl.show_bounds()
pl.view_xy()
pl.show()
# %%
# Extruded Half Arc
# +++++++++++++++++
pointa = [-1, 0, 0]
pointb = [1, 0, 0]
center = [0, 0, 0]
resolution = 100
arc = pv.CircularArc(pointa, pointb, center, resolution)
poly = arc.extrude([0, 0, 1])
poly.plot(color='lightblue', cpos='iso', show_edges=True)
|
