Toroidal Helix Data Set

Simulation data in the shape of a 3D toroidal helix.

Usage

helix(n = 1000, rmajor = 2, rminor = 1, nwinds = 8)

Arguments

n

Number of points to create.

rmajor

Major radius.

rminor

Minor radius.

nwinds

Positive integer number of winds the helix makes.

Value

Data frame with x, y, z columns containing the coordinates of the points and color the RGB color.

Details

Creates a series of points sampled from a 3D helix with the ends joined to each other.

Unlike ball() and sphere(), this data set is not randomly sampled.

Points are colored based on their distances from the origin.

References

A dataset like this was used in: Lee, J. A., Peluffo-Ordo'nez, D. H., & Verleysen, M. (2015). Multi-scale similarities in stochastic neighbour embedding: Reducing dimensionality while preserving both local and global structure. Neurocomputing, 169, 246-261.

Examples

if (FALSE) { # \dontrun{
helix1000 <- helix(n = 1000)
# Coloring should be obvious with a 2D plot of the cross section:
plot(helix1000$x, helix1000$y, col = helix1000$color, pch = 20)
} # }