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-.\"  This is the Unix manual page for rbox, written in nroff, the standard
-.\"  manual formatter for Unix systems.  To format it, type
-.\"
-.\"  nroff -man rbox.man
-.\"
-.\"  This will print a formatted copy to standard output.  If you want
-.\"  to ensure that the output is plain ascii, free of any control
-.\"  characters that nroff uses for underlining etc, pipe the output
-.\"  through "col -b":
-.\"
-.\"  nroff -man rbox.man | col -b
-.\"
-.TH rbox 1 "August 10, 1998" "Geometry Center"
-.SH NAME
-rbox \- generate point distributions for qhull
-.SH SYNOPSIS
-Command "rbox" (w/o arguments) lists the options.
-.SH DESCRIPTION
-.PP
-rbox generates random or regular points according to the options given, and 
-outputs
-the points to stdout. The points are generated in a cube, unless 's' or  'k' 
-option is
-given. The format of the output is the following: first line
-contains the dimension and a comment, 
-second line contains the number of points, and the 
-following lines contain the points, one point per line. Points are represented
-by their coordinate values.
-.SH EXAMPLES
-.TP
-rbox 10
-10 random points in the unit cube centered at the origin.
-.TP
-rbox 10 s D2
-10 random points on a 2\[hy]d circle.
-.TP
-rbox 100 W0
-100 random points on the surface of a cube.
-.TP
-rbox 1000 s D4
-1000 random points on a 4\[hy]d sphere.
-.TP
-rbox c D5 O0.5
-a 5\[hy]d hypercube with one corner at the origin.
-.TP
-rbox d D10
-a 10\[hy]d diamond.
-.TP 
-rbox x 1000 r W0
-100 random points on the surface of a fixed simplex 
-.TP
-rbox y D12
-a 12\[hy]d simplex.
-.TP
-rbox l 10
-10 random points along a spiral
-.TP
-rbox l 10 r
-10 regular points along a spiral plus two end points
-.TP
-rbox 1000 L10000 D4 s
-1000 random points on the surface of a narrow lens.
-.TP
-rbox c G2 d G3
-a cube with coordinates +2/\-2 and a diamond with coordinates +3/\-3.
-.TP
-rbox 64 M3,4 z
-a rotated, {0,1,2,3} x {0,1,2,3} x {0,1,2,3} lattice (Mesh) of integer
-points. 'rbox 64 M1,0' is orthogonal.
-.TP
-rbox P0 P0 P0 P0 P0
-5 copies of the origin in 3\-d.  Try 'rbox P0 P0 P0 P0 P0 | qhull QJ'.
-.TP
-r 100 s Z1 G0.1
-two cospherical 100\-gons plus another cospherical point.
-.TP
-100 s Z1
-a cone of points.
-.TP 
-100 s Z1e\-7
-a narrow cone of points with many precision errors.
-.SH OPTIONS
-.TP
-n
-number of points
-.TP
-Dn
-dimension n\[hy]d (default 3\[hy]d)
-.TP
-Bn
-bounding box coordinates (default 0.5)
-.TP
-l
-spiral distribution, available only in 3\[hy]d
-.TP
-Ln
-lens distribution of radius n.  May be used with 's', 'r', 'G', and 'W'.
-.TP
-Mn,m,r
-lattice (Mesh) rotated by {[n,\-m,0], [m,n,0], [0,0,r], ...}.  
-Use 'Mm,n' for a rigid rotation with r = sqrt(n^2+m^2).  'M1,0' is an 
-orthogonal lattice.  For example, '27 M1,0' is {0,1,2} x {0,1,2} x 
-{0,1,2}. '27 M3,4 z' is a rotated integer lattice.
-.TP
-s
-cospherical points randomly generated in a cube and projected to the unit sphere
-.TP
-x
-simplicial distribution.  It is fixed for option 'r'.  May be used with 'W'.
-.TP
-y
-simplicial distribution plus a simplex.  Both 'x' and 'y' generate the same points.
-.TP
-Wn
-restrict points to distance n of the surface of a sphere or a cube
-.TP
-c
-add a unit cube to the output
-.TP
-c Gm
-add a cube with all combinations of +m and \-m to the output
-.TP
-d
-add a unit diamond to the output.
-.TP
-d Gm
-add a diamond made of 0, +m and \-m to the output
-.TP
-Cn,r,m  
-add n nearly coincident points within radius r of m points
-.TP
-Pn,m,r
-add point [n,m,r] to the output first.  Pad coordinates with 0.0.
-.TP
-n
-Remove the command line from the first line of output.
-.TP
-On
-offset the data by adding n to each coordinate.
-.TP
-t
-use time in seconds as the random number seed (default is command line).
-.TP
-tn
-set the random number seed to n.
-.TP
-z
-generate integer coordinates.  Use 'Bn' to change the range.  
-The default is 'B1e6' for six\[hy]digit coordinates.  In R^4, seven\[hy]digit
-coordinates will overflow hyperplane normalization.
-.TP
-Zn s
-restrict points to a disk about the z+ axis and the sphere (default Z1.0). 
-Includes the opposite pole.  'Z1e\-6' generates degenerate points under
-single precision.
-.TP
-Zn Gm s
-same as Zn with an empty center (default G0.5). 
-.TP
-r s D2
-generate a regular polygon
-.TP
-r s Z1 G0.1
-generate a regular cone
-.SH BUGS
-Some combinations of arguments generate odd results.
-
-Report bugs to qhull_bug@qhull.org, other correspondence to qhull@qhull.org 
-.SH SEE ALSO
-qhull(1)
-.SH AUTHOR
-.nf
-C. Bradford Barber
-bradb@shore.net
-.fi
-