Matches in SemOpenAlex for { <https://semopenalex.org/work/W2588730553> ?p ?o ?g. }
Showing items 1 to 75 of
75
with 100 items per page.
- W2588730553 abstract "We investigate enumeration of distinct flat-foldable crease patterns with natural assumptions. Precisely, for a given positive integer n, potential set of n crease lines are incident to the center of a sheet of disk paper at regular angles. That is, every angle between adjacent lines is equal to (2pi /n). Then each line is assigned one of “mountain,” “valley,” and “flat (or consequently unfolded).” That is, we enumerate all flat-foldable crease patterns with up to n crease lines of unit angle (2pi /n). We note that two crease patterns are equivalent if they are equal up to rotation and reflection. In computational origami, there are two well-known theorems for flat-foldability: the Kawasaki Theorem and the Maekawa Theorem. The first one is a necessary and sufficient condition of crease layout, however, it does not give us valid mountain/valley assignments. The second one is a necessary condition between the number of “mountain” and that of “valley.” However, sufficient condition(s) is(are) not known. Therefore, we have to enumerate and check flat-foldability one by one using other algorithm. In this research, we develop the first algorithm for the above stated problem by combining these results in a nontrivial way, and show its analysis of efficiency. We also give experimental results, which give us a new series of integer sequence." @default.
- W2588730553 created "2017-02-24" @default.
- W2588730553 creator A5012862092 @default.
- W2588730553 creator A5054829031 @default.
- W2588730553 date "2019-03-01" @default.
- W2588730553 modified "2023-10-16" @default.
- W2588730553 title "Efficient Enumeration of Flat-Foldable Single Vertex Crease Patterns" @default.
- W2588730553 cites W1572844260 @default.
- W2588730553 cites W1995300673 @default.
- W2588730553 cites W2016995838 @default.
- W2588730553 cites W2030766291 @default.
- W2588730553 cites W2030996579 @default.
- W2588730553 cites W2060034273 @default.
- W2588730553 cites W2082272935 @default.
- W2588730553 cites W2121269215 @default.
- W2588730553 cites W2153472243 @default.
- W2588730553 cites W2337480916 @default.
- W2588730553 cites W2963308370 @default.
- W2588730553 doi "https://doi.org/10.1587/transinf.2018fcp0004" @default.
- W2588730553 hasPublicationYear "2019" @default.
- W2588730553 type Work @default.
- W2588730553 sameAs 2588730553 @default.
- W2588730553 citedByCount "2" @default.
- W2588730553 countsByYear W25887305532020 @default.
- W2588730553 crossrefType "journal-article" @default.
- W2588730553 hasAuthorship W2588730553A5012862092 @default.
- W2588730553 hasAuthorship W2588730553A5054829031 @default.
- W2588730553 hasBestOaLocation W25887305531 @default.
- W2588730553 hasConcept C114614502 @default.
- W2588730553 hasConcept C132525143 @default.
- W2588730553 hasConcept C156340839 @default.
- W2588730553 hasConcept C198352243 @default.
- W2588730553 hasConcept C199360897 @default.
- W2588730553 hasConcept C2524010 @default.
- W2588730553 hasConcept C2778112365 @default.
- W2588730553 hasConcept C33923547 @default.
- W2588730553 hasConcept C41008148 @default.
- W2588730553 hasConcept C54355233 @default.
- W2588730553 hasConcept C65682993 @default.
- W2588730553 hasConcept C74050887 @default.
- W2588730553 hasConcept C80899671 @default.
- W2588730553 hasConcept C86803240 @default.
- W2588730553 hasConcept C97137487 @default.
- W2588730553 hasConceptScore W2588730553C114614502 @default.
- W2588730553 hasConceptScore W2588730553C132525143 @default.
- W2588730553 hasConceptScore W2588730553C156340839 @default.
- W2588730553 hasConceptScore W2588730553C198352243 @default.
- W2588730553 hasConceptScore W2588730553C199360897 @default.
- W2588730553 hasConceptScore W2588730553C2524010 @default.
- W2588730553 hasConceptScore W2588730553C2778112365 @default.
- W2588730553 hasConceptScore W2588730553C33923547 @default.
- W2588730553 hasConceptScore W2588730553C41008148 @default.
- W2588730553 hasConceptScore W2588730553C54355233 @default.
- W2588730553 hasConceptScore W2588730553C65682993 @default.
- W2588730553 hasConceptScore W2588730553C74050887 @default.
- W2588730553 hasConceptScore W2588730553C80899671 @default.
- W2588730553 hasConceptScore W2588730553C86803240 @default.
- W2588730553 hasConceptScore W2588730553C97137487 @default.
- W2588730553 hasLocation W25887305531 @default.
- W2588730553 hasOpenAccess W2588730553 @default.
- W2588730553 hasPrimaryLocation W25887305531 @default.
- W2588730553 hasRelatedWork W1850102257 @default.
- W2588730553 hasRelatedWork W1964289883 @default.
- W2588730553 hasRelatedWork W1977041115 @default.
- W2588730553 hasRelatedWork W1986949047 @default.
- W2588730553 hasRelatedWork W1998487385 @default.
- W2588730553 hasRelatedWork W2001733770 @default.
- W2588730553 hasRelatedWork W2949711698 @default.
- W2588730553 hasRelatedWork W2964165395 @default.
- W2588730553 hasRelatedWork W2964273561 @default.
- W2588730553 hasRelatedWork W3020913705 @default.
- W2588730553 isParatext "false" @default.
- W2588730553 isRetracted "false" @default.
- W2588730553 magId "2588730553" @default.
- W2588730553 workType "article" @default.