Perfectly Packing an Equilateral Triangle by Equilateral Triangles of Sidelengths n-1/2-ϵ.
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| Title: | Perfectly Packing an Equilateral Triangle by Equilateral Triangles of Sidelengths n-1/2-ϵ. |
|---|---|
| Authors: | Januszewski, Janusz1 (AUTHOR) januszew@pbs.edu.pl, Zielonka, Łukasz1 (AUTHOR) lukasz.zielonka@pbs.edu.pl |
| Source: | Discrete & Computational Geometry. Sep2025, Vol. 74 Issue 2, p286-301. 16p. |
| Subjects: | Packing problem (Mathematics), Triangles, Geometry, Mathematics, Geometric shapes |
| Abstract: | Equilateral triangles of sidelengths 1, 2 - t , 3 - t , 4 - t , ... can be packed perfectly into an equilateral triangle, provided that 1 / 2 < t ≤ 37 / 72 . Moreover, for t slightly greater than 1/2, squares of sidelengths 1, 2 - t , 3 - t , 4 - t , ... can be packed perfectly into a square S t in such a way that some squares have a side parallel to a diagonal of S t and the remaining squares have a side parallel to a side of S t . [ABSTRACT FROM AUTHOR] |
| Copyright of Discrete & Computational Geometry is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 188126542 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Perfectly Packing an Equilateral Triangle by Equilateral Triangles of Sidelengths n-1/2-ϵ. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Januszewski%2C+Janusz%22">Januszewski, Janusz</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> januszew@pbs.edu.pl</i><br /><searchLink fieldCode="AR" term="%22Zielonka%2C+Łukasz%22">Zielonka, Łukasz</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> lukasz.zielonka@pbs.edu.pl</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Discrete+%26+Computational+Geometry%22">Discrete & Computational Geometry</searchLink>. Sep2025, Vol. 74 Issue 2, p286-301. 16p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Packing+problem+%28Mathematics%29%22">Packing problem (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Triangles%22">Triangles</searchLink><br /><searchLink fieldCode="DE" term="%22Geometry%22">Geometry</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics%22">Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Geometric+shapes%22">Geometric shapes</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Equilateral triangles of sidelengths 1, 2 - t , 3 - t , 4 - t , ... can be packed perfectly into an equilateral triangle, provided that 1 / 2 < t ≤ 37 / 72 . Moreover, for t slightly greater than 1/2, squares of sidelengths 1, 2 - t , 3 - t , 4 - t , ... can be packed perfectly into a square S t in such a way that some squares have a side parallel to a diagonal of S t and the remaining squares have a side parallel to a side of S t . [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Discrete & Computational Geometry is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=188126542 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s00454-024-00654-w Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 16 StartPage: 286 Subjects: – SubjectFull: Packing problem (Mathematics) Type: general – SubjectFull: Triangles Type: general – SubjectFull: Geometry Type: general – SubjectFull: Mathematics Type: general – SubjectFull: Geometric shapes Type: general Titles: – TitleFull: Perfectly Packing an Equilateral Triangle by Equilateral Triangles of Sidelengths n-1/2-ϵ. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Januszewski, Janusz – PersonEntity: Name: NameFull: Zielonka, Łukasz IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 09 Text: Sep2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 01795376 Numbering: – Type: volume Value: 74 – Type: issue Value: 2 Titles: – TitleFull: Discrete & Computational Geometry Type: main |
| ResultId | 1 |
