When is a Disk Trapped by Four Lines?

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• 作者：Luis Montejano (1)
  Tudor Zamfirescu (2) (3) (4)
  
  1. Instituto de Matem谩ticas ; Unidad Juriquilla ; National University of M茅xico ; Queretaro ; Mexico
  2. Fakult盲t f眉r Mathematik ; Technische Universit盲t Dortmund ; Dortmund ; Germany
  3. 鈥淪imion Stoilow鈥?Institute of Mathematics ; Roumanian Academy ; Bucharest ; Roumania
  4. College of Mathematics and Information Science ; Hebei Normal University ; Shijiazhuang ; 050024 ; People鈥檚 Republic of China
  
• 关键词：Convex disk ; Trapped
• 刊名：Graphs and Combinatorics
• 出版年：2015
• 出版时间：March 2015
• 年：2015
• 卷：31
• 期：2
• 页码：467-476
• 全文大小：194 KB
• 参考文献：1. B谩r谩ny, I, Zamfirescu, T (2013) Holding circles and fixing frames. Discret. Comput. Geom. 50: pp. 1101-1111 CrossRef
  2. B谩r谩ny, I, Zamfirescu, T (2013) Circles holding typical convex bodies. Lib. Math. 33: pp. 21-25
  3. Bracho, J, Fetter, H, Mayer, D, Montejano, L (1995) Immobilization of solids and Mondriga quadratic forms. J. Lond. Math. Soc. 51: pp. 189-200 CrossRef
  4. Bracho, J, Montejano, L, Urrutia, J (1994) Immobilization of smooth convex figures. Geome. Dedicata 50: pp. 1-13 CrossRef
  5. Connelly, R., Montejano, L.: Straight Line Motion with Rigid Sets. arXiv:1401.4743v1 [math.MG] (2014)
  6. Zamfirescu, T (1995) How to hold a convex body?. Geom. Dedicata 54: pp. 313-316 CrossRef
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Combinatorics
  Engineering Design
  
• 出版者：Springer Japan
• ISSN：1435-5914

文摘

We use homological and geometrical methods to study the problem of determining when a convex disk is trapped by four lines.