Johannesmann Spatial Tessellation

Python implementation of the Johannesmann Spatial Tessellation method.

This method was developed for the occasion of Sarah Johannesmann's doctoral thesis defence and is inspired by the way she cuts a cake. For a two-dimensional, bounded plane this is realised by subdividing the plane by a line, which intersects a random point on the plane at a random slope, resulting in two tiles. The process is repeated an arbitrary number of times, with each new line subdividing only the tile the random origin point is located.

Features

• Implementation of two-dimensions.
• Single point and grid sampling methods.

Example

Import the package by:

import johannesmann

Create a tessellation object with size 4 by 4 with 30 cuts:

tsl = johannesmann.Tessellation(4, 4, 30)

Sample the tile ID number at the centre of the tessellated plane:

center_id = tsl.tile_id(0, 0)

Sample the whole bounded plane (from -2 to 2 in both dimension) with a grid of 1000 by 1000 samples to get an image of the tessellation. Set squash_ids=True to decrease the range of tile ID numbers by renumbering and removing unused ID numbers:

image = tsl.tile_id_grid(1000, 1000, squash_ids=True)