Maze-like vegetation bands that mimic a Turing pattern.
Arguments
- frequency
Numeric. Spatial scale of the noise pattern. Lower values produce broad, smooth bands; higher values produce finer, more maze-like structures (default: 3).
- veg_threshold
Numeric. Threshold separating vegetated and bare cells (0-1, default: 0.5). Values above it become vegetation. Lower thresholds increase vegetation cover; higher thresholds reduce it.
- band_fuzziness
Numeric. Probability that an edge cell is eroded after thresholding (0-1, default: 0.08). This changes edge roughness without changing the underlying noise field. Zero gives deterministic boundaries; values around 0.05 to 0.1 add slight irregularities while largely preserving topology. Higher values may fragment bands, and values above roughly 0.3 can appear increasingly random rather than maze-like.
- octaves
Integer. Number of noise layers combined into the continuous field (at least 1, default: 2). One octave emphasizes smooth, large-scale structure. Two to three add fine-scale variation while preserving a dominant wavelength. Higher values add fractal-like detail that can obscure the bands.
Valid values and batch sampling
A single value fixes a parameter. A length-2 vector is a range, sampled
once per landscape by create_landscapes and rejected by
create_landscape. The table below shows for each parameter:
valid values that create_landscape accepts, and
sampled ranges that create_landscapes draws from
once per landscape for any parameter left unset. The defaults shown in
Usage therefore apply to create_landscape only. Ranges that
scale with landscape size are shown for the default 100 by 100.
| Parameter | Valid | Sampled |
frequency | greater than 0 | 2.5 to 3.5 |
veg_threshold | 0 to 1 | 0.45 to 0.55 |
band_fuzziness | 0 to 1 | 0.06 to 0.25 |
octaves | 1 or more | 2 to 4 |
Examples
# A single landscape, with fixed values
create_landscape(
"labyrinth",
params = pattern_labyrinth(frequency = 3.5, octaves = 3)
)
#> Landscape: <unnamed> [pattern: labyrinth]
#> -----------------------------------------
#> Dimensions: 100x100 (10000 cells)
#> Resolution: 1.0x1.0
#> Extent : xmin=0.0, xmax=100.0, ymin=0.0, ymax=100.0
#> Values : min=0.0, max=1.0
#> Parameters: width = 100, height = 100, frequency = 3.5, veg_threshold = 0.5, band_fuzziness = 0.08, octaves = 3
# A batch, with parameters drawn from ranges once per landscape.
# Parameters left unset vary too, over their default ranges
create_landscapes(
n = 4,
patterns = "labyrinth",
params_list = list(
labyrinth = pattern_labyrinth(
frequency = c(2.5, 4),
octaves = c(2, 4)
)
)
)
#> ✔ Successfully generated all 4 training landscapes
#> $labyrinth_1
#> Landscape: "labyrinth_1" [pattern: labyrinth]
#> -----------------------------------------
#> Dimensions: 100x100 (10000 cells)
#> Resolution: 1.0x1.0
#> Extent : xmin=0.0, xmax=100.0, ymin=0.0, ymax=100.0
#> Values : min=0.0, max=1.0
#> Parameters: width = 100, height = 100, frequency = 3.96111232577823, veg_threshold = 0.539127231482416, band_fuzziness = 0.12784308383707, octaves = 4
#>
#> $labyrinth_2
#> Landscape: "labyrinth_2" [pattern: labyrinth]
#> -----------------------------------------
#> Dimensions: 100x100 (10000 cells)
#> Resolution: 1.0x1.0
#> Extent : xmin=0.0, xmax=100.0, ymin=0.0, ymax=100.0
#> Values : min=0.0, max=1.0
#> Parameters: width = 100, height = 100, frequency = 3.31825935002416, veg_threshold = 0.49874360668473, band_fuzziness = 0.237971883695573, octaves = 2
#>
#> $labyrinth_3
#> Landscape: "labyrinth_3" [pattern: labyrinth]
#> -----------------------------------------
#> Dimensions: 100x100 (10000 cells)
#> Resolution: 1.0x1.0
#> Extent : xmin=0.0, xmax=100.0, ymin=0.0, ymax=100.0
#> Values : min=0.0, max=1.0
#> Parameters: width = 100, height = 100, frequency = 2.53940396627877, veg_threshold = 0.542101821652614, band_fuzziness = 0.14045161819784, octaves = 3
#>
#> $labyrinth_4
#> Landscape: "labyrinth_4" [pattern: labyrinth]
#> -----------------------------------------
#> Dimensions: 100x100 (10000 cells)
#> Resolution: 1.0x1.0
#> Extent : xmin=0.0, xmax=100.0, ymin=0.0, ymax=100.0
#> Values : min=0.0, max=1.0
#> Parameters: width = 100, height = 100, frequency = 2.90126859536394, veg_threshold = 0.452147987834178, band_fuzziness = 0.240882745850831, octaves = 2
#>
# A batch, mixing a fixed value with a range
create_landscapes(
n = 4,
patterns = "labyrinth",
params_list = list(
labyrinth = pattern_labyrinth(
frequency = 3,
octaves = c(2, 4)
)
)
)
#> ✔ Successfully generated all 4 training landscapes
#> $labyrinth_1
#> Landscape: "labyrinth_1" [pattern: labyrinth]
#> -----------------------------------------
#> Dimensions: 100x100 (10000 cells)
#> Resolution: 1.0x1.0
#> Extent : xmin=0.0, xmax=100.0, ymin=0.0, ymax=100.0
#> Values : min=0.0, max=1.0
#> Parameters: width = 100, height = 100, frequency = 3, veg_threshold = 0.478663486149162, band_fuzziness = 0.122412023027427, octaves = 2
#>
#> $labyrinth_2
#> Landscape: "labyrinth_2" [pattern: labyrinth]
#> -----------------------------------------
#> Dimensions: 100x100 (10000 cells)
#> Resolution: 1.0x1.0
#> Extent : xmin=0.0, xmax=100.0, ymin=0.0, ymax=100.0
#> Values : min=0.0, max=1.0
#> Parameters: width = 100, height = 100, frequency = 3, veg_threshold = 0.488082625088282, band_fuzziness = 0.209662749522831, octaves = 2
#>
#> $labyrinth_3
#> Landscape: "labyrinth_3" [pattern: labyrinth]
#> -----------------------------------------
#> Dimensions: 100x100 (10000 cells)
#> Resolution: 1.0x1.0
#> Extent : xmin=0.0, xmax=100.0, ymin=0.0, ymax=100.0
#> Values : min=0.0, max=1.0
#> Parameters: width = 100, height = 100, frequency = 3, veg_threshold = 0.505458245659247, band_fuzziness = 0.0917158329067752, octaves = 2
#>
#> $labyrinth_4
#> Landscape: "labyrinth_4" [pattern: labyrinth]
#> -----------------------------------------
#> Dimensions: 100x100 (10000 cells)
#> Resolution: 1.0x1.0
#> Extent : xmin=0.0, xmax=100.0, ymin=0.0, ymax=100.0
#> Values : min=0.0, max=1.0
#> Parameters: width = 100, height = 100, frequency = 3, veg_threshold = 0.462240721937269, band_fuzziness = 0.220382585627958, octaves = 2
#>