
Hearing the shape of right triangle billiard tables
Author(s) -
Yang Shen,
Jiazhong Yang
Publication year - 2021
Publication title -
discrete and continuous dynamical systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.289
H-Index - 70
eISSN - 1553-5231
pISSN - 1078-0947
DOI - 10.3934/dcds.2021087
Subject(s) - dynamical billiards , table (database) , sequence (biology) , mathematics , computer science , combinatorics , geometry , data mining , biology , genetics
In this paper, we give a positive answer to the problem that whether one can identify the shape of a right triangle billiard table by a single bounce sequence. Moreover, a convenient method to calculate the shape of polygons is given in this paper, too.