Once you have opened a Maxima session, load package draw and then set global variable draw_renderer to vtk:
load("draw") $ draw_renderer: 'vtk $
Plotting four scenes. It's possible to drag the pointer and move each scene independently in the interacting window. The function to be called is draw, each argument gr3d defines a 3D scene. Option columns is used to arange scenes in two columns:
draw( columns = 2, gr3d( nticks = 100, line_type = tube, parametric(t*cos(t^2),t*sin(t^2),t^2,t,0,%pi), enhanced3d = true, transform = [x+5, y+5, z+5, x, y, z], parametric(t*cos(t^2),t*sin(t^2),t^2,t,0,%pi) ), gr3d( background_color = green, enhanced3d = [y,x,y,z], point_size = 2/3, point_type = cube, palette = [5,12,-3], points_joined = true, points([[0,0,-5], [1,1,1], [2,2,2]]) ), gr3d( background_color = navy, color=yellow, explicit(x^2+y^2,x,-1,1,y,-1,1) ), gr3d( background_color = cyan, xu_grid = 100, yv_grid = 25, color = white, view = [100,20], parametric_surface(0.5*u*cos(u)*(cos(v)+1), 0.5*u*sin(u)*(cos(v)+1), u*sin(v) - ((u+3)/8*%pi)^2 - 20, u, 0, 13*%pi, v, -%pi, %pi)) )$
With option allocation scenes can be arbitrary placed on the window. If allocation is not used, automatic allocation is controlled by option columns:
draw( gr3d( allocation = [[0,0.75],[1,0.25]], background_color = green, color = cyan, head_angle = 10, line_width = 0.1, vector([0,1,0],[-10,0,0])), gr3d( allocation = [[0,0],[1,0.75]], background_color = white, color = "#abc80e", cone([0,0,0],1,1,[0,2,1]), color = red, opacity = 1/3, cone([0,0,0],1,1,[0,-2,-1])) ) $
The first scene is placed automatically filling the whole window. The second scene is placed with option allocation above the first one:
draw( gr3d( enhanced3d = sin(u)+cos(v), background_color = yellow, palette = [8,4,3], parametric_surface( sin(u)+.5*sin(u)*cos(v), .5*sin(v), cos(u)+.5*cos(u)*cos(v), u, -%pi, %pi, v, -%pi, %pi)), gr3d( allocation = [[0.6,0.6],[0.4,0.4]], background_color = cyan, points_joined = true, point_type = dot, enhanced3d = true, line_width = 0.05, line_type = tube, points([[0,0,0], [1,1,1]]) ) ) $
2D scenes are defined with gr2d:
draw( dimensions = [250,500], columns = 1, gr2d( background_color = yellow, explicit(x^2, x, -1, 1)), gr3d( cone([0,0,0],1,1,[0,2,1]))) $
Two and three dimensions overlapping scenes:
draw( gr3d( cone([0,0,0],1,1,[0,2,1])), gr2d( allocation = [[0.6,0.6], [0.4,0.4]], background_color = yellow, explicit(x^2, x, -1, 1)) ) $
Two 2D scenes:
draw( gr2d( background_color = red, line_width = 3, line_type = dashes, explicit(x^3,x,-1,1)), gr2d( background_color = yellow, color = salmon, line_width = 5, line_type = solid, explicit(x^2,x,-1,1), color = black, line_width = 1, explicit(sin(x), x, 0, 10)) ) $
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