Does triangle overlap convex hull of points?

`TriangleInHull(triangles, coordinates, buffer)`

- triangles
Three-row matrix as produced by

`TriangleCentres()`

.- coordinates
A matrix with two or three rows specifying the coordinates of points in

*x, y*or*a, b, c*format.- buffer
Include triangles whose centres lie within

`buffer`

triangles widths (i.e. edge lengths) of the convex hull.

`TriangleInHull()`

returns a list with the elements:

`$inside`

: vector specifying whether each of a set of triangles produced by`TriangleCentres()`

overlaps the convex hull of points specified by`coordinates`

.`$hull`

: Coordinates of convex hull of`coordinates`

, after expansion to cover overlapping triangles.

Other tiling functions:
`Polygon-Geometry`

,
`TriangleCentres()`

```
set.seed(0)
nPts <- 50
a <- runif(nPts, 0.3, 0.7)
b <- 0.15 + runif(nPts, 0, 0.7 - a)
c <- 1 - a - b
coordinates <- rbind(a, b, c)
TernaryPlot(grid.lines = 5)
TernaryPoints(coordinates, pch = 3, col = 4)
triangles <- TriangleCentres(resolution = 5)
inHull <- TriangleInHull(triangles, coordinates)
polygon(inHull$hull, border = 4)
values <- rbind(triangles,
z = ifelse(inHull$inside, "#33cc3333", "#cc333333"))
points(triangles["x", ], triangles["y", ],
pch = ifelse(triangles["triDown", ], 6, 2),
col = ifelse(inHull$inside, "#33cc33", "#cc3333"))
ColourTernary(values)
```