girih

6 motifs. Import them from geomotif.motifs, or build one by name with registry.create("girih.hex-star").

girih.hex-star

Six-pointed stars on a triangular lattice, rhombi filling the gaps.

PythonCommand lineSpec

from geomotif import save_svg
from geomotif.core import registry

# This motif's example takes values that are themselves objects, so it
# reads better through the registry than as a constructor call.
motif = registry.create("girih.hex-star", **registry.describe("girih.hex-star").example)
save_svg(motif.build(), "girih.hex-star.svg", width=320, height=320)

geomotif render girih.hex-star --out girih.hex-star.svg

{
  "geomotif": "1.3.1",
  "motif": "girih.hex-star",
  "params": {
    "region": {
      "$type": "geomotif.core.types.Bounds",
      "min_x": -150.0,
      "min_y": -150.0,
      "max_x": 150.0,
      "max_y": 150.0
    },
    "clip": true,
    "size": 30.0
  }
}

Parameters

Name	Type	Default
size	float	30.0
region	Bounds	required
clip	bool	True

girih.interlocking-decagons

The pattern the tenfold tiling carries: ten-pointed stars, interlocked.

PythonCommand lineSpec

from geomotif import save_svg
from geomotif.core import registry

# This motif's example takes values that are themselves objects, so it
# reads better through the registry than as a constructor call.
motif = registry.create("girih.interlocking-decagons", **registry.describe("girih.interlocking-decagons").example)
save_svg(motif.build(), "girih.interlocking-decagons.svg", width=320, height=320)

geomotif render girih.interlocking-decagons --out girih.interlocking-decagons.svg

{
  "geomotif": "1.3.1",
  "motif": "girih.interlocking-decagons",
  "params": {
    "region": {
      "$type": "geomotif.core.types.Bounds",
      "min_x": -150.0,
      "min_y": -150.0,
      "max_x": 150.0,
      "max_y": 150.0
    },
    "clip": true,
    "size": 26.0,
    "contact": 1.2566370614359172
  }
}

Parameters

Name	Type	Default
size	float	26.0
contact	float	1.2566370614359172
region	Bounds	required
clip	bool	True

girih.rosette

The shamsa: a star, a blunter star inside it, and so on inward.

PythonCommand lineSpec

from geomotif import save_svg
from geomotif.motifs import Rosette

motif = Rosette()
save_svg(motif.build(), "girih.rosette.svg", width=320, height=320)

geomotif render girih.rosette --out girih.rosette.svg

{
  "geomotif": "1.3.1",
  "motif": "girih.rosette",
  "params": {
    "points": 12,
    "sharpness": 3,
    "layers": 3,
    "radius": 140.0,
    "rotation": 1.5707963267948966,
    "center": [
      0.0,
      0.0
    ]
  }
}

Parameters

Name	Type	Default
points	int	12
sharpness	int	3
layers	int	3
radius	float	140.0
rotation	float	1.5707963267948966
center	Point	(0.0, 0.0)

girih.rosette-tiling

A field of rosettes, touching point to point.

PythonCommand lineSpec

from geomotif import save_svg
from geomotif.core import registry

# This motif's example takes values that are themselves objects, so it
# reads better through the registry than as a constructor call.
motif = registry.create("girih.rosette-tiling", **registry.describe("girih.rosette-tiling").example)
save_svg(motif.build(), "girih.rosette-tiling.svg", width=320, height=320)

geomotif render girih.rosette-tiling --out girih.rosette-tiling.svg

{
  "geomotif": "1.3.1",
  "motif": "girih.rosette-tiling",
  "params": {
    "region": {
      "$type": "geomotif.core.types.Bounds",
      "min_x": -150.0,
      "min_y": -150.0,
      "max_x": 150.0,
      "max_y": 150.0
    },
    "clip": true,
    "points": 6,
    "sharpness": 2,
    "layers": 2,
    "radius": 45.0,
    "lattice": "hex"
  }
}

Parameters

Name	Type	Default
points	int	6
sharpness	int	2
layers	int	2
radius	float	45.0
lattice	Literal['hex', 'square']	'hex'
region	Bounds	required
clip	bool	True

girih.tenfold

Regular decagons laid edge to edge, with a bowtie in every gap.

PythonCommand lineSpec

from geomotif import save_svg
from geomotif.core import registry

# This motif's example takes values that are themselves objects, so it
# reads better through the registry than as a constructor call.
motif = registry.create("girih.tenfold", **registry.describe("girih.tenfold").example)
save_svg(motif.build(), "girih.tenfold.svg", width=320, height=320)

geomotif render girih.tenfold --out girih.tenfold.svg

{
  "geomotif": "1.3.1",
  "motif": "girih.tenfold",
  "params": {
    "region": {
      "$type": "geomotif.core.types.Bounds",
      "min_x": -150.0,
      "min_y": -150.0,
      "max_x": 150.0,
      "max_y": 150.0
    },
    "clip": true,
    "size": 26.0
  }
}

Parameters

Name	Type	Default
size	float	26.0
region	Bounds	required
clip	bool	True

girih.tile

One of the five girih tiles, with the strapwork it carries.

PythonCommand lineSpec

from geomotif import save_svg
from geomotif.motifs import GirihTile

motif = GirihTile(size=90.0)
save_svg(motif.build(), "girih.tile.svg", width=320, height=320)

geomotif render girih.tile --out girih.tile.svg

{
  "geomotif": "1.3.1",
  "motif": "girih.tile",
  "params": {
    "shape": "decagon",
    "size": 90.0,
    "contact": 1.2566370614359172,
    "strapwork": true,
    "outline": true,
    "rotation": 0.0,
    "center": [
      0.0,
      0.0
    ]
  }
}

Parameters

Name	Type	Default
shape	GirihShape	'decagon'
size	float	60.0
contact	float	1.2566370614359172
strapwork	bool	True
outline	bool	True
rotation	float	0.0
center	Point	(0.0, 0.0)