{"title":"Parking triangles on a continuous ladder","authors":"Stjepan Šebek","doi":"10.1016/j.amc.2025.129431","DOIUrl":null,"url":null,"abstract":"<div><div>In this article we study a variant of the famous Rényi's car-parking problem in which we are parking isosceles triangles on a strip of height 1, and where the base of the triangle can be on either side of that strip. We find the exact value of the parking constant for this model.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"500 ","pages":"Article 129431"},"PeriodicalIF":3.5000,"publicationDate":"2025-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics and Computation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0096300325001584","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
In this article we study a variant of the famous Rényi's car-parking problem in which we are parking isosceles triangles on a strip of height 1, and where the base of the triangle can be on either side of that strip. We find the exact value of the parking constant for this model.
期刊介绍:
Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results.
In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.