def show3d(self, size=0.85):
r"""
Return the solution as a 3D Graphic object.
OUTPUT:
3D Graphic Object
EXAMPLES::
sage: from sage.games.quantumino import QuantuminoSolver
sage: s = next(QuantuminoSolver(0).solve()) # not tested (1.5s)
sage: G = s.show3d() # not tested (<1s)
sage: type(G) # not tested
<class 'sage.plot.plot3d.base.Graphics3dGroup'>
To remove the frame::
sage: G.show(frame=False) # not tested
To see the solution with Tachyon viewer::
sage: G.show(viewer='tachyon', frame=False) # not tested
"""
G = Graphics()
for p in self:
G += p.show3d(size=size)
aside_pento = self._aside.canonical() + (2, -4, 0)
G += aside_pento.show3d(size=size)
# the box to fill
half_box = tuple(a / 2 for a in self._box)
b = cube(color='gray',
opacity=0.2).scale(self._box).translate(half_box)
b = b.translate((0, -.5, -.5))
G += b
# hack to set the aspect ratio to 1
a, b = G.bounding_box()
a, b = map(vector, (a, b))
G.frame_aspect_ratio(tuple(b - a))
return G
def show3d(self, size=0.85):
r"""
Return the solution as a 3D Graphic object.
OUTPUT:
3D Graphic Object
EXAMPLES::
sage: from sage.games.quantumino import QuantuminoSolver
sage: s = next(QuantuminoSolver(0).solve()) # not tested (1.5s)
sage: G = s.show3d() # not tested (<1s)
sage: type(G) # not tested
<class 'sage.plot.plot3d.base.Graphics3dGroup'>
To remove the frame::
sage: G.show(frame=False) # not tested
To see the solution with Tachyon viewer::
sage: G.show(viewer='tachyon', frame=False) # not tested
"""
G = Graphics()
for p in self:
G += p.show3d(size=size)
aside_pento = self._aside.canonical() + (2,-4,0)
G += aside_pento.show3d(size=size)
# the box to fill
half_box = tuple(a/2 for a in self._box)
b = cube(color='gray',opacity=0.2).scale(self._box).translate(half_box)
b = b.translate((0, -.5, -.5))
G += b
# hack to set the aspect ratio to 1
a,b = G.bounding_box()
a,b = map(vector, (a,b))
G.frame_aspect_ratio(tuple(b-a))
return G
def plot3d(self, colors=None):
r"""
Return a 3D-plot of ``self``.
INPUT:
- ``colors`` -- (default: ``["white", "lightgray", "darkgray"]``)
list ``[A, B, C]`` of 3 strings representing colors
EXAMPLES::
sage: PP = PlanePartition([[4,3,3,1],[2,1,1],[1,1]])
sage: PP.plot3d()
Graphics3d Object
"""
if colors is None:
colors = ["white", "lightgray", "darkgray"]
return sum(cube(c, color=colors, frame_thickness=2,
frame_color='black', frame=False)
for c in self.cells())
def show_pentaminos(box=(5, 8, 2)):
r"""
Show the 17 3-D pentaminos included in the game and the `5 \times 8
\times 2` box where 16 of them must fit.
INPUT:
- ``box`` - tuple of size three (optional, default: ``(5,8,2)``),
size of the box
OUTPUT:
3D Graphic object
EXAMPLES::
sage: from sage.games.quantumino import show_pentaminos
sage: show_pentaminos() # not tested (1s)
To remove the frame do::
sage: show_pentaminos().show(frame=False) # not tested (1s)
"""
G = Graphics()
for i, p in enumerate(pentaminos):
x = 4 * (i % 4)
y = 4 * (i / 4)
q = p + (x, y, 0)
G += q.show3d()
G += text3d(str(i), (x, y, 2))
G += cube(color='gray', opacity=0.5).scale(box).translate((17, 6, 0))
# hack to set the aspect ratio to 1
a, b = G.bounding_box()
a, b = map(vector, (a, b))
G.frame_aspect_ratio(tuple(b - a))
return G
def show_pentaminos(box=(5,8,2)):
r"""
Show the 17 3-D pentaminos included in the game and the `5 \times 8
\times 2` box where 16 of them must fit.
INPUT:
- ``box`` -- tuple of size three (optional, default: ``(5,8,2)``),
size of the box
OUTPUT:
3D Graphic object
EXAMPLES::
sage: from sage.games.quantumino import show_pentaminos
sage: show_pentaminos() # not tested (1s)
To remove the frame do::
sage: show_pentaminos().show(frame=False) # not tested (1s)
"""
G = Graphics()
for i, p in enumerate(pentaminos):
x = 4 * (i % 4)
y = 4 * (i // 4)
q = p + (x, y, 0)
G += q.show3d()
G += text3d(str(i), (x, y, 2))
G += cube(color='gray',opacity=0.5).scale(box).translate((17, 6, 0))
# hack to set the aspect ratio to 1
a, b = G.bounding_box()
a, b = map(vector, (a, b))
G.frame_aspect_ratio(tuple(b - a))
return G
