3D Plotting

For an example, open Derivita - Authoring Examples > 3D Plotting.

The basics

plot_3d(renderer1, [renderer2, ...])

Plots one or more 3D renderers

Named Arguments:

x_min

x_max

y_min

y_max

z_min

z_max

width

height

angle

altitude

x_label

y_label

z_label

plot_settings()

Sets default values for plotting

Named Arguments:

width

height

foreground

background

foreground_alpha

background_alpha

plot_line_width

tick_size

font_size

font_face

font_family

legend_anchor

legend_box_alpha

bounds_cube

x_axis

y_axis

x_far_axis

y_far_axis

x_origin_axis

y_origin_axis

z_axis

x_tick_labels

y_tick_labels

x_far_tick_labels

y_far_tick_labels

x_tick_label_angle

y_tick_label_angle

x_far_tick_label_angle

y_far_tick_label_angle

x_tick_label_anchor

y_tick_label_anchor

x_far_tick_label_anchor

y_far_tick_label_anchor

decorations

samples

angle

altitude

ambient_light

diffuse_light

specular_light

allow_pan

allow_zoom

allow_rotate

title

x_label

y_label

z_label

x_far_label

y_far_label

line_samples

line_color

line_width

line_style

line_alpha

interval_color

interval_style

interval_line1_color

interval_line1_width

interval_line1_style

interval_line2_color

interval_line2_width

interval_line2_style

interval_alpha

point_color

point_size

point_line_width

point_alpha

vector_field_samples

vector_field_color

vector_field_line_style

vector_field_scale

vector_field3d_samples

contour_samples

contour_levels

contour_colors

contour_widths

contour_styles

contour_alphas

contour_interval_colors

contour_interval_styles

contour_interval_alphas

x_axis_ticks

y_axis_ticks

x_axis_labels

y_axis_labels

x_axis_alpha

y_axis_alpha

polar_axes_number

polar_axes_ticks

polar_axes_labels

polar_axes_alpha

label_anchor

label_angle

label_alpha

label_point_size

surface_color

surface_style

surface_line_color

surface_line_style

contour_interval_line_colors

contour_interval_line_styles

Surfaces

surface_3d(expr, [x_min, x_max, y_min, y_max])

Plots z = expr

expr  an expression in x and y: for example, sin(x) + cos(y)

x_min  lower bounds for x axis

x_max  upper bounds for x axis

y_min  lower bounds for y axis

y_max  upper bounds for y axis

Named Arguments:

z_min  lower bounds for z axis

z_max  upper bounds for z axis

samples  Number of samples taken, per axis. Integer >= 2

color  See https://docs.racket-lang.org/plot/intro.html#%28part._.Colors_and_.Styles%29

line_style

contour_intervals_3d(expr, [x_min, x_max, y_min, y_max])

Plots z = expr with isolines and shades each interval

expr  an expression in x and y: for example, sin(x) + cos(y)

x_min  lower bounds for x axis

x_max  upper bounds for x axis

y_min  lower bounds for y axis

y_max  upper bounds for y axis

Named Arguments:

z_min  lower bounds for z axis

z_max  upper bounds for z axis

samples  Number of samples taken, per axis. Integer >= 2

levels  Either "auto", an integer number of contour levels, or a list of z values to use as contour levels.

surface_colors  List of colors to use for the contour intervals. Extra levels will interpolate between these colors if necessary.

surface_line_styles  List of styles to use for the lines on the surface, e.g. ["transparent"]. Extra levels will cycle through the list if necessary.

contour_colors  List of colors to use for the contour level lines. Extra levels will interpolate between these colors if necessary.

contour_line_widths  List of line widths to use for the contour level lines. Extra levels will cycle through the list if necessary.

contour_line_styles  List of styles to use for the contour level lines. Extra levels will cycle through the list if necessary.

implicit_surface_3d(expr, [x_min, x_max, y_min, y_max, z_min, z_max])

Returns a renderer that plots the surface of 0 output value of the function f.

Plots expr = 0

expr  an expression in x, y, and z: for example, x^2 + y^2 + z^2

x_min  lower bounds for x axis

x_max  upper bounds for x axis

y_min  lower bounds for y axis

y_max  upper bounds for y axis

z_min  lower bounds for z axis

z_max  upper bounds for z axis

Named Arguments:

samples  Number of samples taken, per axis. Integer >= 2

color  See https://docs.racket-lang.org/plot/intro.html#%28part._.Colors_and_.Styles%29

line_style

parametric_surface_3d(expressions, s_min, s_max, t_min, t_max, [x_min, x_max, y_min, y_max])

Plots a parametrized surface f(s, t) = expressions

expressions  a list of three expressions in s and t, representing [x(s, t), y(s, t), z(s, t)]: for example, [sin(s)*(5 + sin(t)), cos(s)*(5 + sin(t)), s + cos(t))]

s_min  lower bounds for s

s_max  upper bounds for s

t_min  lower bounds for t

t_max  upper bounds for t

x_min  lower bounds for x axis

x_max  upper bounds for x axis

y_min  lower bounds for y axis

y_max  upper bounds for y axis

Named Arguments:

z_min  lower bounds for z axis

z_max  upper bounds for z axis

s_samples  Number of samples taken for s. Integer >= 2

t_samples  Number of samples taken for t. Integer >= 2

color  See https://docs.racket-lang.org/plot/intro.html#%28part._.Colors_and_.Styles%29

line_style 

Curves

parametric_3d(expressions, t_min, t_max, [x_min, x_max, y_min, y_max])

Plots a parametrized curve f(t) = expressions

expressions  a list of three expressions in t, representing [x(t), y(t), z(t)]: for example, [cos(t), sin(2t), sin(3t)]

t_min  lower bounds for t

t_max  upper bounds for t

x_min  lower bounds for x axis

x_max  upper bounds for x axis

y_min  lower bounds for y axis

y_max  upper bounds for y axis

Named Arguments:

z_min  lower bounds for z axis

z_max  upper bounds for z axis

samples  Number of samples taken, per axis. Integer >= 2

color  See https://docs.racket-lang.org/plot/intro.html#%28part._.Colors_and_.Styles%29

line_style

Vectors

vector_3d(vector)

Plots a single vector

vector  vector to plot: for example, list<1,1,1>

Named Arguments:

origin  origin of the vector

color  See https://docs.racket-lang.org/plot/intro.html#%28part._.Colors_and_.Styles%29

width

vector_field_3d(vector_expr, [x_min, x_max, y_min, y_max, z_min, z_max])

Plots a vector field f(x, y, z) = vector_expr

vector_expr  a formula for the vector to plot at each point: for example, list<x, z, y>

x_min  lower bounds for x axis

x_max  upper bounds for x axis

y_min  lower bounds for y axis

y_max  upper bounds for y axis

z_min  lower bounds for z axis

z_max  upper bounds for z axis

Named Arguments:

samples  Number of samples taken, per axis. Integer >= 2

scale  If scale is a real number, arrow lengths are multiplied by scale. If "auto", the scale is calculated in a way that keeps arrows from overlapping. If "normalized", each arrow is made the same length.

color  See https://docs.racket-lang.org/plot/intro.html#%28part._.Colors_and_.Styles%29

line_width