The point with address (321)∞ is the fixed point of
T3T2T1. |
To see this, say (x, y) is the point with
address (321)∞. Then |
T1(x, y) has address 1(321)∞,
|
T2T1(x, y) has address 21(321)∞, and
|
T3T2T1(x, y) has address
321(321)infinity = (321)∞
| |
Because (x, y) and T3T2T1(x, y) have the
same (infinite) addresses, they are the same point. |
Similarly, |
the point with address (132)∞is the
fixed point of
T1T3T2, and |
the point with address (213)∞is the fixed point of
T2T1T3. |
|