sfc_reduce: Reduce a curve

In sfcurve: 2x2, 3x3 and Nxn Space-Filling Curves

Reduce a curve

Description

Reduce a curve

Usage

## S4 method for signature 'sfc_nxn'
sfc_reduce(p, to = sfc_level(p) - 1)

## S4 method for signature 'matrix'
sfc_reduce(p, to = level - 1, mode = NULL)

add_base_structure(gb, level = 1)

Arguments

p	An 'sfc_nxn' object.
to	Which level to reduce to? Value should be between 1 and 'sfc_level(p) - 1'.
mode	Mode of the curve.
gb	A 'grob' object returned by ['sfc_grob()'] or a 'sfc_nxn' object then ['sfc_grob()'] is internally applied.
level	The level of the unit.

Details

The reduction is applied on the coordinates of points.

'add_base_structure()' adds a base structure on a certain level to the curve.

Value

A two-column matrix of coordinates of the reduced curve.

Examples

p = sfc_3x3_peano("I", level = 3)
draw_multiple_curves(
    p, 
    sfc_reduce(p, 2), 
    sfc_reduce(p, 1), 
    nrow = 1)
p = hilbert_curve(level = 4)
draw_multiple_curves(
    p, 
    sfc_reduce(p, 3), 
    sfc_reduce(p, 2), 
    nrow = 1)
p = hilbert_curve(3)
draw_multiple_curves(
    add_base_structure(p, level = 1),
    add_base_structure(p, level = 2),
    nrow = 1
)

sfcurve documentation built on April 10, 2026, 5:06 p.m.