As an example of LaTeX's Turing completeness and capabilities to do floating point arithmetic, this repository demonstrates how to use LaTeX to render a sphere using Phong shading. The images below are rendered using LaTeX.

See shading.pdf for more details about shading parameters.

• LaTeX compiler
• Linux system (for running Makefiles)
• Python 3.6+ with Pillow

Use the Makefile to generate the images.

• LaTeX cannot output binary file directly (see discussion here, LaTeX can output arbitrary bytes, but it will also output \x0A after each \write call)

  • To cope with this issue, we use LaTeX to output the byte in decimal format, and use Python to convert them into binary
  • Note that if LuaTeX is used, Lua can be used to write binary output

• LaTeX cannot include BMP files directly

  • For simplicity, the rendered pixels are saved using the BMP format
  • However, (most) LaTeX distributions cannot use BMP files directly
  • We use Python to convert BMP images into PNG so that they can be included in the PDF file

Because Python is used, -shell-escape option must be enabled during compiling.

• A pure LaTeX implementation for writing BMP image files
• A pure LaTeX implementation for Phong shading