FractalSegment: Plots a fractal curve starting from a segment

In LearnGeom: Learning Plane Geometry

Description

FractalSegment plots the first iterations of a fractal curve, starting from a segment in the plane

Usage

FractalSegment(P1, P2, angle, cut1, cut2, f, it)

Arguments

P1	Vector containing the xy-coordinates of point 1. This point is the left extreme of the segment that corresponds to the first iteration (it = 1)
P2	Vector containing the xy-coordinates of point 2. This point is the right extreme of the segment that corresponds to the first iteration (it = 1)
angle	Angle (0-360) that determines the angle with which the new segments are drawn at the cut points
cut1	Number bigger than 0 and smaller than 1 that indicates the proportional part of the segment at which the first cut occurs. This parameter determines the position of the first cut point
cut2	Number bigger than 0 and smaller than 1 that indicates the proportional part of the segment at which the second cut occurs. This parameter determines the position of the second cut point
f	Positive number that produces an enlargement or a reduction for the new drawn segment in each iteration
it	Number of iterations to be performed for the construction of the fractal curve. It is not recommended to choose a number higher than 7 in order to avoid an excess of computation

Value

None. It produces the plot of the first n iterations of a fractal curve in the current coordinate plane. The choice of parameters cut1 = 1/3, cut2 = 2/3, angle = 60 and f = 1 produces the Koch curve

References

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

Examples

x_min <- -6
x_max <- 6
y_min <- -4
y_max <- 8
CoordinatePlane(x_min, x_max, y_min, y_max)
P1 <- c(-5,0)
P2 <- c(5,0)
angle <- 90
cut1 <- 1/3
cut2 <- 2/3
f <- 1
it <- 4
FractalSegment(P1, P2, angle, cut1, cut2, f, it)

LearnGeom documentation built on July 14, 2020, 5:06 p.m.