Generate a Chain of Interlocked curvycycle in High-Dimensional Space

This function generates \(k\) interlocked circular clusters in a \(p\)-dimensional space. Unlike make_klink_curvycycle(), the curvycycle are arranged in a **chain-like structure**, where each curvycycle interlocks only with its immediate neighbor, resembling links in a chain.

Usage

make_chain_curvycycle(n = c(200, 100), p = 4, k = 2, offset = 0.5, angle = 90)

Arguments

n

An integer vector of length \(k\) giving the number of points in each curvycycle. Default is c(200, 100).

p

Integer, the dimensionality of the embedding space. Must be at least 3. Default is 4.

k

Integer, the number of curvycycle to generate. Default is 2.

offset

Numeric, the positional shift applied to each curvycycle along its linking axis to ensure interlocking instead of overlap. Default is 0.5.

angle

Numeric, the rotation angle (in degrees) used when placing each subsequent curvycycle into its respective plane. Default is 90.

Value

A data frame (or tibble, depending on gen_multicluster()) containing the generated points and cluster assignments.

Examples

# Generate two chain-linked curvycycle in 4-D
twochain_curvycycle <- make_chain_curvycycle()
#> ✔ Data generation completed successfully!!!
#> ✔ Data generation completed successfully!!!
#> ✔ Multiple clusters generation completed successfully!!!