The content explores the mathematical concept of flat origami and its computational capabilities. It delves into the complexity of folding paper to simulate logical inputs and perform computations akin to a Turing machine. Various gadgets and logic gates are detailed to showcase how flat origami can emulate Rule 110, a universal cellular automaton.
The authors establish that flat origami, despite being non-rigidly foldable, can serve as a platform for performing complex computations discretely in a fully flat-folded state. They highlight the challenges and intricacies involved in using origami for computation purposes, emphasizing that it may not be practical but serves as an intriguing theoretical concept.
Key points include defining flat origami's structure, proving its Turing completeness through Rule 110 simulation, introducing logic gates and gadgets for computation, discussing the limitations of using flat origami practically for computation tasks, and exploring the discrete nature of computational information in fully folded states.
To Another Language
from source content
arxiv.org
Key Insights Distilled From
by Thomas C. Hu... at arxiv.org 03-05-2024
https://arxiv.org/pdf/2309.07932.pdfDeeper Inquiries