Hi folk,
I may be missing something here, but when I tried to plot 0 = x^2 +
y^2 - z^2 I received an error:
*** begin Sage session ***
sage: var("x,y,z");
sage: f = x^2 + y^2 - z^2
sage: plot3d(f == 0, (x,-4,4), (y,-4,4), (z,-4,4));
ERROR: An unexpected error occurred while tokenizing input
The following traceback may be corrupted or invalid
The error message is: ('EOF in multi-line statement', (4, 0))
---------------------------------------------------------------------------
TypeError Traceback (most recent call last)
/home/mvngu/.sage/temp/sage.math.washington.edu/32198/_home_mvngu__sage_init_sage_0.py
in <module>()
/usr/local/sage/local/lib/python2.5/site-packages/sage/plot/plot3d/plot3d.pyc
in plot3d(f, urange, vrange, adaptive, **kwds)
191
192 if adaptive:
--> 193 P = plot3d_adaptive(f, urange, vrange, **kwds)
194 else:
195 P = parametric_plot3d.parametric_plot3d(w, urange,
vrange, **kwds)
/usr/local/sage/local/lib/python2.5/site-packages/sage/plot/plot3d/plot3d.pyc
in plot3d_adaptive(f, x_range, y_range, color, grad_f, max_bend,
max_depth, initial_depth, num_colors, **kwds)
284 plot = TrianglePlot(factory, g, (xmin, xmax), (ymin,
ymax), g = grad_f,
285 min_depth=initial_depth, max_depth=max_depth,
--> 286 max_bend=max_bend, num_colors = None)
287
288 P = IndexFaceSet(plot._objects)
/usr/local/sage/local/lib/python2.5/site-packages/sage/plot/tri_plot.pyc
in __init__(self, triangle_factory, f, (min_x, max_x), (min_y, max_y),
g, min_depth, max_depth, num_colors, max_bend)
133 mid_x = (min_x + max_x)/2
134 mid_y = (min_y + max_y)/2
--> 135 sw_z = fcn(min_x,min_y)
136 nw_z = fcn(min_x,max_y)
137 se_z = fcn(max_x,min_y)
/usr/local/sage/local/lib/python2.5/site-packages/sage/plot/tri_plot.pyc
in fcn(x, y)
122 if g is None:
123 def fcn(x,y):
--> 124 return [self._f(x,y)]
125 else:
126 def fcn(x,y):
/usr/local/sage/local/lib/python2.5/site-packages/sage/plot/plot3d/plot3d.pyc
in g(xx, yy)
247 y, ymin, ymax = y_range
248 def g(xx,yy):
--> 249 return float(f.subs({x:xx, y:yy}))
250
251 else:
TypeError: float() argument must be a string or a number
*** end Sage session ***
What I'm trying to do is generate various 3-D plots of some affine
varieties. As a start, I have no idea how to plot the equation:
x^2 + y^2 - z^2 = 0
But for the equation
z^3 - zx^2 + y^2 = 0
I know that it describes three cones meeting at a common point.
--
Regards
Minh Van Nguyen
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