# PPFCRectLat3: Generator of 3D face-centered rectangular lattices of... In pgs: Precision of Geometric Sampling

## Description

Create a `FigLat-class` object representing a 3D face-centered rectangular lattice of horizontal point patterns lying in a rectangle.

## Usage

 `1` ```PPFCRectLat3(d=1,dx=sqrt(2)*d,dz=d,n=1,xp=dx/5,yp=xp,h3=TRUE) ```

## Arguments

 `d` the distance between two neighbour diagonal locations on the horizontal plane. Default: 1. `dx` the distance between two neighbour locations along the x-axis on the horizontal plane. Default: sqrt(2)*d. `dz` the vertical spacing between two neigbour horizontal planes. Default: d. `n` the number of points in each point pattern. Valid values for `n`: 1, 4, 5, 6, 7, 8 or 9 (see `PP3` or `PP2` documentations). Default: 1 (lattice of points). `xp` the side length of the bounding rectangle, parallel to the x-axis. Default: dx/5. `yp` the side length of the bounding rectangle, parallel to the y-axis. Default: xp (square bounding box for each point pattern). `h3` determines the orientation of the point pattern when `n`=6, 7 or 8, see `PP3` or `PP2` documentations.

## Value

A `FigLat-class` object.

Generators `FigLat`, `PointPattern`, `PP3`, `FCRectLat3`, generators of other 3D lattices of point patterns `PPBCRectLat3`, `PPRectLat3`.
 ```1 2``` ```PPFCRectLat3()# 3D unit face-centered rectangular vector lattice print(PPFCRectLat3(dx=1,n=7)) ```