Content area

Abstract

Folding a discrete geometry from a flat sheet of material is one way to construct a 3D object. A typical creation pipeline first designs the 3D object, unfolds it, prints and cuts the unfold pattern from a 2D material, and then refolds the object. Within this work we focus on the unfold part of this pipeline. Most current unfolding approaches segment the input, which has structural downsides for the refolded result. Therefore, we are aiming to unfold the input into a single-patched pattern. Our algorithm applies tabu search to the topic of unfolding. We show empirically that our algorithm is faster and more reliable than other methods unfolding into single-patched unfold patterns. Moreover, our algorithm can handle any sort of flat polygon as faces, while comparable methods are bound to triangles.

Details

Title
Unfolding polyhedra via tabu search
Publication title
Volume
41
Issue
2
Pages
1141-1154
Publication year
2025
Publication date
Jan 2025
Publisher
Springer Nature B.V.
Place of publication
Heidelberg
Country of publication
Netherlands
Publication subject
ISSN
01782789
e-ISSN
14322315
Source type
Scholarly Journal
Language of publication
English
Document type
Journal Article
Publication history
 
 
Online publication date
2024-05-17
Milestone dates
2024-03-29 (Registration); 2024-03-28 (Accepted)
Publication history
 
 
   First posting date
17 May 2024
ProQuest document ID
3163041719
Document URL
https://www.proquest.com/scholarly-journals/unfolding-polyhedra-via-tabu-search/docview/3163041719/se-2?accountid=208611
Copyright
Copyright Springer Nature B.V. Jan 2025
Last updated
2025-02-04
Database
ProQuest One Academic