Outer billiards outside a regular dodecagon
The existence of an aperiodic orbit for an outer billiard outside a regular dodecagon is proved. It is shown that almost all orbits of such an outer billiard are periodic, and all possible periods are explicitly listed. The proofs of the theorems make use of computer calculations.
1977 ◽
Vol 35
◽
pp. 590-591
Keyword(s):
1983 ◽
Vol 41
◽
pp. 70-71
1977 ◽
Vol 35
◽
pp. 68-69
Keyword(s):
1976 ◽
Vol 34
◽
pp. 218-219
Keyword(s):
1985 ◽
Vol 43
◽
pp. 348-349
1990 ◽
Vol 48
(3)
◽
pp. 14-15