- Title
- Fractal bodies invisible in 2 and 3 directions
- Creator
- Plakhov, Alexander; Roshchina, Vera
- Date
- 2013
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/38905
- Identifier
- vital:4869
- Identifier
-
https://doi.org/10.3934/dcds.2013.33.1615
- Identifier
- ISSN:1078-0947
- Abstract
- We study the problem of invisibility for bodies with a mirror surface in the framework of geometrical optics. We show that for any two given directions it is possible to construct a two-dimensional fractal body invisible in these directions. Moreover, there exists a three-dimensional fractal body invisible in three orthogonal directions. The work continues the previous study in [1, 12], where two-dimensional bodies invisible in one direction and threedimensional bodies invisible in one and two orthogonal directions were constructed.
- Relation
- Discrete and Continuous Dynamical Systems - Series A Vol. 33, no. 4 (2013), p. 1615-1631
- Rights
- Copyright - American Institute of Mathematical Sciences
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0101 Pure Mathematics; 0102 Applied Mathematics; Billiards; Invisibility in geometrical optics; Problems of minimal resistance
- Full Text
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