Crate tiling

tiling

tiling is a library for constructing tilings of regular polygons and their dual tilings.

Resources

• Tilings by regular polygons
• List of Euclidian uniform tilings

Requirements

tiling uses cairo-rs for rendering and requires cairo to be installed.

Example

Create an empty tiling model.

let (width, height, scale) = (1024, 1024, 128.0);

let mut model = Model::new(width, height, scale);

Place a polygon at the origin. This adds a hexagon.

let stroke = Color::new(242, 60, 60)?;
let fill_hexagon = Color::new(242, 194, 106)?;

model.add(Shape::new(6, fill_hexagon, stroke)?);

At this point we can render the model.

let background = Color::new(242, 242, 242)?;
let margin = 0.1;
let show_labels = false;
let line_width = 0.1;

let render = model.render(background, margin, line_width, show_labels)?;
render.write_to_png("output.png")?;

Let’s continue by attaching a square to each of the hexagon’s sides.

let fill_square = Color::new(23, 216, 146)?;

let squares = model.add_multi(0..1, 0..6, Shape::new(4, fill_square, stroke)?)?;

The first parameter 0..1 is a range that indicates the shape(s) to attach to (by their index). In this example, the square is attached to the hexagon (index 0).

When show_labels is true, each shape is labeled with its index.

The second paramter 0..6 is a range that indicates the edge(s) to attach to (by their index). In this example, the square is attached to all six edges of the hexagon.

When show_labels is true, each edge is labeled with its index.

The final paramter defines the shape to add (a square).

The add_multi method returns a range containing the indexes of the added square shapes so they can be referenced later. We’ll see how to do that next.

Now, attach triangles to all of the squares using the previously returned range squares. Here, a triangle is attached to edge 1 of each square.

let fill_triangle = Color::new(242, 209, 48)?;

let _ = model.add_multi(squares.clone(), 1..2, Shape::new(3, fill_triangle, stroke)?)?;

Let’s wrap up by attaching a hexagon to the outer edge of each square. These hexagons will define the repeating positions of the tiling.

let hexagons = model.add_multi(squares.clone(), 2..3, Shape::new(6, fill_hexagon, stroke)?)?;

Now that the tiling’s repeating pattern is complete, use the repeat method to fill the rest of the surface with the pattern.

model.repeat(hexagons)?;

Once satisfied, disable the shape and edge labels and adjust the scale.

Dual tilings may be created using the render_dual method. A tiling’s dual is formed by drawing edges between the centers of adjacent polygons.

Re-exports

pub use color::Color;

pub use error::Error;

pub use error::Result;

pub use model::Model;

pub use shape::Dual;

pub use shape::Point;

pub use shape::Polygon;

pub use shape::Shape;

Modules

color

error

model

shape