Cyclic Driven IFS
3-Cycle Addresses
The point with address (321)infinity is the fixed point of
T3T2T1.
To see this, say (x, y) is the point with
address (321)infinity. Then
| T1(x, y) has address 1(321)infinity,
|
| T2T1(x, y) has address 21(321)infinity, and
|
| T3T2T1(x, y) has address
321(321)infinity = (321)infinity
|
Because (x, y) and T3T2T1(x, y) have the
same (infinite) addresses, they are the same point.
Similarly,
the point with address (132)infinityis the
fixed point of
T1T3T2, and
the point with address (213)infinityis the fixed point of
T2T1T3.
Return to 3-Cycles.