tiling

Draw a hyperbolic tiling of the Poincaré disk.

Hyperbolic geometry in the Minkowski model and the Poincaré
model. The methods are based on the gyrovector space theory developed
by A. A. Ungar that can be found in the book 'Analytic Hyperbolic
Geometry: Mathematical Foundations And Applications'
<doi:10.1142/5914>. The package provides functions to plot
three-dimensional hyperbolic polyhedra and to plot hyperbolic tilings
of the Poincaré disk.

Stc3<a9>phane Laurent

gyro

Hyperbolic Geometry

tiling function

<dl><dt>n, p</dt>
<dd>two positive integers satisfying <code>1/n + 1/p &lt; 1/2</code></dd>
<dt>depth</dt>
<dd>positive integer, the number of recursions</dd>
<dt>colors</dt>
<dd>two colors to fill the hyperbolic tiling</dd>
<dt>circle</dt>
<dd>Boolean, whether to draw the unit circle</dd>
<dt>...</dt>
<dd>additional arguments passed to <code>draw.circle</code></dd></dl>

Arguments

Hyperbolic tiling — tiling

<dl>

<dt>n, p</dt>
<dd>two positive integers satisfying <code>1/n + 1/p &lt; 1/2</code></dd>


<dt>depth</dt>
<dd>positive integer, the number of recursions</dd>


<dt>colors</dt>
<dd>two colors to fill the hyperbolic tiling</dd>


<dt>circle</dt>
<dd>Boolean, whether to draw the unit circle</dd>


<dt>...</dt>
<dd>additional arguments passed to <code>draw.circle</code></dd>

</dl>

tiling: Hyperbolic tiling

Description

Usage

Value

Arguments

Examples