Returns the minimum rotated rectangular POLYGON which encloses the input geometry.

`gMinumumRotatedRectangle(spgeom, byid=FALSE, id = NULL)`

## Arguments

- spgeom
sp object as defined in package sp

- byid
Logical determining if the function should be applied across subgeometries (TRUE) or the entire object (FALSE)

- id
Character vector defining id labels for the resulting geometries, if unspecified returned geometries will be labeled based on their parent geometries' labels.

## Details

Returns the minimum rotated rectangular POLYGON which encloses the input geometry. The rectangle has width equal to the minimum diameter, and a longer length. If the convex hill of the input is degenerate (a line or point) a LINESTRING or POINT is returned. The minimum rotated rectangle can be used as an extremely generalized representation for the given geometry.

## Author

Roger Bivand & Colin Rundel

## Examples

```
if (version_GEOS0() >= "3.9.0") {
x = readWKT(paste("GEOMETRYCOLLECTION(POLYGON((0 0,10 1,10 11,0 10,0 0)),",
"POLYGON((15 0,25 12,35 3,15 0)))"))
# Minimum rotated rectangles of both the square and circle independently
c1 = gMinumumRotatedRectangle(x,byid=TRUE)
# Minimum rotated rectangle of square and circle together
c2 = gMinumumRotatedRectangle(x)
opar <- par(mfrow=c(2,1))
plot(c1, border='red', lwd=2, lty=2)
plot(x,add=TRUE)
plot(c2, border='blue', lwd=2, lty=3)
plot(x,add=TRUE)
par(opar)
}
```