Default value: none
If enhanced3d is none, surfaces are not colored in 3D plots.
In order to get a colored surface, a list must be assigned to option
enhanced3d, where the first element is an expression and the rest
are the names of the variables or parameters used in that expression. A list such
[f(x,y,z), x, y, z] means that point [x,y,z] of the surface
is assigned number f(x,y,z), which will be colored according to
the actual palette. For those 3D graphic objects defined in terms of
parameters, it is possible to define the color number in terms of
the parameters, as in [f(u), u], as in objects parametric and
tube, or [f(u,v), u, v], as in object parametric_surface.
While all 3D objects admit the model based on absolute coordinates,
[f(x,y,z), x, y, z], only two of them, namely explicit
and elevation_grid, accept also models defined on the [x,y] coordinates,
[f(x,y), x, y]. 3D graphic object implicit accepts only the
[f(x,y,z), x, y, z] model. Object points accepts also the
[f(x,y,z), x, y, z] model, but when points have a chronological nature,
model [f(k), k] is also valid, being k an ordering parameter.
When enhanced3d is assigned something different to none, options
color and surface_hide are ignored.
The names of the variables defined in the lists may be different to those
used in the definitions of the graphic objects.
In order to maintain back compatibility, enhanced3d = false is equivalent
to enhanced3d = none, and enhanced3d = true is equivalent to
enhanced3d = [z, x, y, z]. If an expression is given to enhanced3d,
its variables must be the same used in the surface definition. This is not
necessary when using lists.
See option palette to learn how palettes are specified.
Examples:
explicit object with coloring defined by the [f(x,y,z), x, y, z] model.
(%i1) draw3d(
enhanced3d = [x-z/10,x,y,z],
palette = gray,
explicit(20*exp(-x^2-y^2)-10,x,-3,3,y,-3,3))$
explicit object with coloring defined by the [f(x,y), x, y] model.
The names of the variables defined in the lists may be different to those
used in the definitions of the graphic objects; in this case, r corresponds
to x, and s to y.
(%i1) draw3d(
enhanced3d = [sin(r*s),r,s],
explicit(20*exp(-x^2-y^2)-10,x,-3,3,y,-3,3))$
parametric object with coloring defined by the [f(x,y,z), x, y, z] model.
(%i1) draw3d(
nticks = 100,
line_width = 2,
enhanced3d = [if y>= 0 then 1 else 0, x, y, z],
parametric(sin(u)^2,cos(u),u,u,0,4*%pi)) $
parametric object with coloring defined by the [f(u), u] model.
In this case, (u-1)^2 is a shortcut for [(u-1)^2,u].
(%i1) draw3d(
nticks = 60,
line_width = 3,
enhanced3d = (u-1)^2,
parametric(cos(5*u)^2,sin(7*u),u-2,u,0,2))$
elevation_grid object with coloring defined by the [f(x,y), x, y] model.
(%i1) m: apply(
matrix,
makelist(makelist(cos(i^2/80-k/30),k,1,30),i,1,20)) $
(%i2) draw3d(
enhanced3d = [cos(x*y*10),x,y],
elevation_grid(m,-1,-1,2,2),
xlabel = "x",
ylabel = "y");
tube object with coloring defined by the [f(x,y,z), x, y, z] model.
(%i1) draw3d(
enhanced3d = [cos(x-y),x,y,z],
palette = gray,
xu_grid = 50,
tube(cos(a), a, 0, 1, a, 0, 4*%pi) )$
tube object with coloring defined by the [f(u), u] model.
Here, enhanced3d = -a would be the shortcut for enhanced3d = [-foo,foo].
(%i1) draw3d(
capping = [true, false],
palette = [26,15,-2],
enhanced3d = [-foo, foo],
tube(a, a, a^2, 1, a, -2, 2) )$
implicit and points objects with coloring defined by the [f(x,y,z), x, y, z] model.
(%i1) draw3d(
enhanced3d = [x-y,x,y,z],
implicit((x^2+y^2+z^2-1)*(x^2+(y-1.5)^2+z^2-0.5)=0.015,
x,-1,1,y,-1.2,2.3,z,-1,1)) $
(%i2) m: makelist([random(1.0),random(1.0),random(1.0)],k,1,2000)$
(%i3) draw3d(
point_type = filled_circle,
point_size = 2,
enhanced3d = [u+v-w,u,v,w],
points(m) ) $
When points have a chronological nature, model [f(k), k] is also valid,
being k an ordering parameter.
(%i1) m:makelist([random(1.0), random(1.0), random(1.0)],k,1,5)$
(%i2) draw3d(
enhanced3d = [sin(j), j],
point_size = 3,
point_type = filled_circle,
points_joined = true,
points(m)) $
