Macro Library plot3d

Basic 3D graph display, HTML Canvas or Flash fallback. Also includes functions to embed or link to CalcPlot3D.

• plot3d
• spacecurve
• replace3dalttext
• CalcPlot3Dembed
• CalcPlot3Dlink

plot3d

spacecurve

replace3dalttext

CalcPlot3Dembed

CalcPlot3Dembed(functions, [width, height, xmin, xmax, ymin, ymax, zmin, zmax, xscale, yscale, zscale, zclipmin, zclipmax, showbox])

Embeds a dynamic figure using CalcPlot3D to draw the graph. The dynamic figure does not show the CalcPlot3D control panel, so if you want that, use the CalcPlot3Dlink function instead.

• functions: a single string or array of strings in one of these formats:
  • Standard function: z=x^2+y^2,[xmin,xmax,ymin,ymax,gridlines]
    xmin,xmax,ymin,ymax default to the graphing window. gridlines defaults to 30.
  • Implicit function: x^2+y^2=z^2,[xmin,xmax,ymin,ymax,zmin,zmax,cubes]
    xmin,xmax,ymin,ymax,zmin,zmax default to the graphing window. cubes defaults to 16.
  • Spacecurve: curve,x(t),y(t),z(t),[tmin,tmax,tsteps,width,color,dashed]
    Example: "curve,sin(t),cos(t),t,-2pi,2pi"
    Defaults: tmin=-10, tmax=10, tsteps=100, width=2, color=rainbow, dashed=false
  • Parametric Surface: psurf,x(u,v),y(u,v),z(u,v),[umin,umax,vmin,vmax,usteps,vsteps]
    Example: "psurf,cos(u),sin(u),v"
    Defaults: umin=0, umax=2pi, vmin=0, vmax=pi, usteps=30, vsteps=15
  • Region 1: region,y=f(x) bottom func,y=g(x) top func,z top function,[xmin,xmax]
    Example: "region,y=1,y=2-x^2,z=x^2+y^2"
    Defaults: xmin=-1, xmax=1
  • Region 2: region,x=f(y) left func,x=g(y) right func,z top function,[ymin,ymax]
    Example: "region,x=1,x=4-y^2,z=x^2+y^2,-2,2"
    Defaults: ymin=-1, ymax=1
  • Vector Field: vectorfield, M(x,y,z), N(x,y,z), P(x,y,z), [scale, Nx, Ny, Nz, fixedlen]
    Example: "vectorfield,x,x-y,z,8,4,4,4,true"
    Defaults: scale defaults to dividing by 8
    Nx, Ny, Nz is number of vectors along each axis; defaults to 6
    fixedlen defaults to false (fixed length for vectors)
  • Vector: vector, vx, vy, vz, [color, width, x0, y0, z0]
    Example: "vector,1,3,-2,ff0000"
    Defaults: color: hex color string like "FF0000", default "000000" (black)
    width: default 2
    x0,y0,z0: base point of vector, default 0,0,0
  • Point: point, x, y, z, [color, size]
    Example: "point,1,3,-2,ff0000"
    Defaults: color: hex color string like "FF0000", default "000000" (black)
    size: default 4
  • Text Label: text, label text, x, y, z, [color,fontsize,bold,italic,math-xyz,align]
    Example: "text,P,1,2,3"
  
  If the label text contains commas, use semicolons instead, and they will be converted to commas.
  Defaults: color=black, fontsize=14, bold=true, italic=false, math-xyz=true, align=Upper-right
  math-xyz italicizes only the letters x,y,z.
  align can be: Center, Center-left, Center-right, Lower-left, Lower-right, Upper-left, Upper-right.
• width, height: the size for the embed. Defaults to 500 by 500
• xmin, xmax, ymin, ymax, zmin, zmax: the graphing window. Defaults to -2 to 2 for each.
• xscale, yscale, zscale: spacing for axis labels. Defaults to 1.
• zclipmin, zclipmax: z-values to chop the graph off at. Defaults to zmin-.5(zmax-zmin) and zmax+.5(zmax-zmin)

CalcPlot3Dlink

CalcPlot3Dlink(functions, linktext, [xmin, xmax, ymin, ymax, zmin, zmax, xscale, yscale, zscale, zclipmin, zclipmax, showbox])

Creates a custom link to CalcPlot3D to draw the graph. This view will include the CalcPlot3D control panel for exploring the graph.

• functions: a single string or array of strings for the equation to graph. See above for the formats
• linktext: the text of the link itself
• xmin, xmax, ymin, ymax, zmin, zmax: the graphing window. Defaults to -2 to 2 for each.
• xscale, yscale, zscale: spacing for axis labels. Defaults to 1.
• zclipmin, zclipmax: z-values to chop the graph off at. Defaults to zmin-.5(zmax-zmin) and zmax+.5(zmax-zmin)