Generation of foldable polyhedrons

Download

• Source code
• Git source code repository

Description

Scripts to convert equirectangular map projection to foldable polyhedrons:

• Cube
• Rhombicuboctahedron

This can be used for maps to create polyhedral models of the Earth and other celestial bodies, generate skybox or create a foldable panoram as shown by Philo. This scripts are implemented for the papercraft polyhedral celestial bodies in my blog.

Required tools

• Hugin - Panorama tool. nona console utility is used for extracting an individual face out of a equirectangular map or panorama image.
• ImageMagick - Console tool for stitching individual faces together.

Installation instructions for Ubuntu or Debian.

apt-get install imagemagick hugin

Usage

Cubemap

Script cubemap.sh generates a full cubemap file Image-Cubemap.png and individual cube faces Image-Up.png, etc.

./cubemap.sh Image.png

Polyhedron

Script polyhedron.sh generates a map Image-Philosphere.png and its two parts in Image-S1.png and Image-S2.png. The designations of parts and polyhedron faces are taken from Philo’s script.

./polyhedron.sh Image.png

This script uses files mask-512-up.png and mask-512-down.png for manipulating triangular faces. Don’t remove them.

Links

Scripts

• Rhombicuboctahedron by Philo - Script data for nona panorama tool.
• Irregular Truncated Icosahedron by Max and Fabian Hombsch - Bash scripts.
• How do I make cubemaps with Hugin? - a Stackexchange page regarding the question.

Software

• Map-Projections by Justin Kunimune - Java application that is capable of generating a plethora of projections.
• PTGui - Proprietary program capable of generating a polyhedron out of a map (designated as philosphere).

Todo

• Icosahedron, Fuller projection.
• BAT script for Windows.
• Python package.