GitHub - looeee/hyperbolic-tiling: EscherSketch: an experiment …
First created in 2015 (last updated 2021), this is a prototype of an automatic hyperbolic art generator and educational tool. It creates a regular edge to edge tiling of the hyperbolic plane represented as a Poincaré disk, also known as a hyperbolic tesselation.
Make Hyperbolic Tilings of Images - Malin Christersson
2015年4月19日 · Choose an image-file from your computer. Choose a hyperbolic polygon with p vertices, click on a p. Choose the number of hyperbolic polygons adjacent to each vertex, click on a q. Move the image by dragging if you wish. Click on "generate tiling".
Interactive Hyperbolic Tiling in the Poincaré Disc
In hyperbolic geometry, the angle sum of a triangle is less than \(\pi\) and the angle sum of a regular polygon with \(p\) sides is less than \((p-2)\cdot\pi\). Let \(\alpha\) be the inner angle of a hyperbolic polygon in a pq-tiling, then: \[ \frac{(p-2)\cdot \pi}{p}\cdot q > \alpha\cdot q = 2\pi \]
Poincare Hyperbolic Disk Tiling - OpenProcessing
The Poincare disk is a model of hyperbolic geometry. The pattern is defined by reflections in the circles shown. For each point we check weather it is inside any of the circles.
Folding Animated Hyperbolic & Spherical Tilings · Roy's blog
2017年4月12日 · It’s called hyperbolic by analogy to the spherical geometry: you can draw lines as parts of hyperbolas, on one sheet of a hyperboloid. In this geometry, there are even more tilings (an infinite number, in fact). You can fit as many identical right triangles around a vertex as you like, and the resulting polygon can tile the plane.
GitHub - m-bartlett/hyperbolic-tiling: Python script to generate ...
This is a Python script to generate pictures of regular (and a few uniform) hyperbolic tilings, using also source images. Install with. You might need to run that as superuser. You might also need to install Cython; if it complains just do.
Hyperbolic Tiling {3,7} - Marcel Padilla
Make Hyperbolic Tilings of Images; Interactive Hyperbolic Tiling in the Poincaré Disc
Uniting spherical and hyperbolic tilings · Roy's blog
2018年1月6日 · To tell if (p,q,r) (p,q,r) describes a spherical, planar, or hyperbolic triangle, we compare the sum of the interior angles to \pi π: if it’s less, it’s hyperbolic; if greater, it’s spherical. Since they all divide \pi π, you can simply compare \frac {1} {p} + …
Hyperbolic Floors - Medium
2020年7月27日 · Hyperbolic Floors is an interactive visualization that maps hundreds of floors across the world to tessellations in Hyperbolic space. The result is a novel way to look at floor tilings and...
Peter Fumich - Hyperbolic Tiling
Check out this page by Malin Christersson to generate hyperbolic tilings. The size of the renderings is dependent on your own local hardware and browser support. Marlin has other interesting interactive mathematical widgets you should check out.