LearnGeom (version 1.5)

Tessellation: Creates a tessellation from a starting set of geometric objects

Description

Tessellation creates a geometric pattern by the repetitive translation of an initial geometric object

Usage

Tessellation(objects_list, colors, direction, separation, it)

Arguments

objects_list

A list composed by several geometric objects (mainly polygons created with CreatePolygon or CreateRegularPolygon)

colors

Vector containing the colors for each of the objects of the initial geometric object

direction

Vector containing the xy-coordinates of the direction in which tessellation is being generated

separation

Number indicating the distance that separates any of the geometric objects in the repetitive pattern. This distance must be understood in the sense of a translation of the initial object. Indeed, this distance is only preserved in the direction of the chosen vector direction when generating the pattern. Moreover, the choice of separation = 0 implies no pattern is generated

it

Number of iterations to be performed for the construction of the tessellation

Value

None. It produces the plot of a repetitive pattern, usually known as a tessellation

References

http://mathworld.wolfram.com/Tessellation.html

Examples

# NOT RUN {
x_min <- -6
x_max <- 6
y_min <- -2
y_max <- 10
CoordinatePlane(x_min, x_max, y_min, y_max)
Hexa <- CreateRegularPolygon(6, c(-3,0), 1)
Draw(Hexa, "purple")
Tri <- CreatePolygon(c(-3,-1), c(Hexa[4,1],-2), c(Hexa[1,1],-2))
Draw(Tri,"pink")
objects_list <- list(Tri, Hexa)
cols <- c("pink", "purple")
direction <- c(1,0)
separation <- 1.732051 
it <- 3
Tessellation(objects_list, cols, direction, separation, it)
direction <- c(0,1)
separation <- 3
it <- 4
Tessellation(objects_list, cols, direction, separation, it)
# }