def triangulation_render_2d(triangulation, **kwds):
r"""
Return a graphical representation of a 2-d triangulation.
INPUT:
- ``triangulation`` -- a :class:`Triangulation`.
- ``**kwds`` -- keywords that are passed on to the graphics primitives.
OUTPUT:
A 2-d graphics object.
EXAMPLES::
sage: points = PointConfiguration([[0,0],[0,1],[1,0],[1,1],[-1,-1]])
sage: triang = points.triangulate()
sage: triang.plot(axes=False, aspect_ratio=1) # indirect doctest
Graphics object consisting of 12 graphics primitives
"""
from sage.plot.all import point2d, line2d, arrow, polygon2d
points = [point.reduced_affine() for point in triangulation.point_configuration()]
coord = [[p[0], p[1]] for p in points]
plot_points = sum([point2d(p, zorder=2, pointsize=10, **kwds) for p in coord])
tmp_lines = []
for t in triangulation:
if len(t) >= 2:
tmp_lines.append([t[0], t[1]])
if len(t) >= 3:
tmp_lines.append([t[0], t[2]])
tmp_lines.append([t[1], t[2]])
all_lines = []
interior_lines = []
for l in tmp_lines:
if l not in all_lines:
all_lines.append(l)
else:
interior_lines.append(l)
exterior_lines = [l for l in all_lines if not l in interior_lines]
plot_interior_lines = sum(
[line2d([coord[l[0]], coord[l[1]]], zorder=1, rgbcolor=(0, 1, 0), **kwds) for l in interior_lines]
)
plot_exterior_lines = sum(
[line2d([coord[l[0]], coord[l[1]]], zorder=1, rgbcolor=(0, 0, 1), **kwds) for l in exterior_lines]
)
plot_triangs = sum(
[
polygon2d([coord[t[0]], coord[t[1]], coord[t[2]]], zorder=0, rgbcolor=(0.8, 1, 0.8), **kwds)
for t in triangulation
if len(t) >= 3
]
)
return plot_points + plot_interior_lines + plot_exterior_lines + plot_triangs
def triangulation_render_2d(triangulation, **kwds):
r"""
Return a graphical representation of a 2-d triangulation.
INPUT:
- ``triangulation`` -- a :class:`Triangulation`.
- ``**kwds`` -- keywords that are passed on to the graphics primitives.
OUTPUT:
A 2-d graphics object.
EXAMPLES::
sage: points = PointConfiguration([[0,0],[0,1],[1,0],[1,1],[-1,-1]])
sage: triang = points.triangulate()
sage: triang.plot(axes=False, aspect_ratio=1) # indirect doctest
Graphics object consisting of 12 graphics primitives
"""
from sage.plot.all import point2d, line2d, arrow, polygon2d
points = [ point.reduced_affine() for point in triangulation.point_configuration() ]
coord = [ [p[0], p[1]] for p in points ]
plot_points = sum([ point2d(p,
zorder=2, pointsize=10, **kwds)
for p in coord ])
tmp_lines = []
for t in triangulation:
if len(t)>=2:
tmp_lines.append([t[0], t[1]])
if len(t)>=3:
tmp_lines.append([t[0], t[2]])
tmp_lines.append([t[1], t[2]])
all_lines = []
interior_lines = []
for l in tmp_lines:
if l not in all_lines:
all_lines.append(l)
else:
interior_lines.append(l)
exterior_lines = [ l for l in all_lines if not l in interior_lines ]
plot_interior_lines = sum([ line2d([ coord[l[0]], coord[l[1]] ],
zorder=1, rgbcolor=(0,1,0), **kwds)
for l in interior_lines ])
plot_exterior_lines = sum([ line2d([ coord[l[0]], coord[l[1]] ],
zorder=1, rgbcolor=(0,0,1), **kwds)
for l in exterior_lines ])
plot_triangs = sum([ polygon2d([coord[t[0]], coord[t[1]], coord[t[2]]],
zorder=0, rgbcolor=(0.8, 1, 0.8), **kwds)
for t in triangulation if len(t)>=3 ])
return \
plot_points + \
plot_interior_lines + plot_exterior_lines + \
plot_triangs
def render_outline_2d(self, **kwds):
"""
Return the outline (edges) of a polyhedron in 2d.
EXAMPLES::
sage: penta = polytopes.regular_polygon(5)
sage: outline = penta.projection().render_outline_2d()
sage: outline._objects[0]
Line defined by 2 points
"""
wireframe = []
for l in self.lines:
l_coords = self.coordinates_of(l)
wireframe.append(line2d(l_coords, **kwds))
for a in self.arrows:
a_coords = self.coordinates_of(a)
wireframe.append(arrow(a_coords[0], a_coords[1], **kwds))
return sum(wireframe)
def render_outline_2d(self, **kwds):
"""
Return the outline (edges) of a polyhedron in 2d.
EXAMPLES::
sage: penta = polytopes.regular_polygon(5)
sage: outline = penta.projection().render_outline_2d()
sage: outline._objects[0]
Line defined by 2 points
"""
wireframe = [];
for l in self.lines:
l_coords = self.coordinates_of(l)
wireframe.append( line2d(l_coords, **kwds) )
for a in self.arrows:
a_coords = self.coordinates_of(a)
wireframe.append( arrow(a_coords[0], a_coords[1], **kwds) )
return sum(wireframe)
