Infinitesimals Optimal Play
This page describes the optimal play when the only go infinitesimals around are *, ^, v, and Tinies and Minies. This page may not apply if there are kos or future kos on the board. It also describes optimal play in go numbers.
These kinds of endgames are common.
![[Diagram]](../../diagrams/48/fb230c0a818ef10b6a8add5dc248040a.png)
Miny-3
Minies and tinies should be played first, largest threat first.
![[Diagram]](../../diagrams/39/2d62be4651fbc0c34e64542361b085ac.png)
2.5 point gote
It is better to threaten an n point gote than to play on an n point gote.
![[Diagram]](../../diagrams/36/62d8966217ee2a011cd56a610cf5eaa2.png)
{Miny-1|0}
Next, attack longer corridors ending in minies, starting with corridors ending in smallest miny.
![[Diagram]](../../diagrams/27/2102b133d50d51890c4b474d40a2d2e1.png)
{Miny-1|0||0}
Longer corridors are attacked after shorter corridors if minies at the end are equal.
![[Diagram]](../../diagrams/12/3b561899c7d2f1f6e5074847f57db12b.png)
{Miny-2|0}
![[Diagram]](../../diagrams/48/ed842d9c8b8e29ea7e6b98206853d48c.png)
{Miny-2|0||0}
![[Diagram]](../../diagrams/25/28f8ec51fe5a60b4c2eb2fcfe63c82d3.png)
vvv
Attacks on corridors ending in STARs (simple 1 point gote by miai value) are all worth the same.
![[Diagram]](../../diagrams/11/5ebbb61577691d8e80b1327834b40609.png)
*
Stars are next. Even number of stars add to zero and should be ignored.
![[Diagram]](../../diagrams/23/05882f402f32a08d97fb77ecae210804.png)
{0||0|Tiny-1}
Next, block corridors ending in tinies or STARs.
![[Diagram]](../../diagrams/33/1e4a90a2f8d4d8e0818080f54e434b41.png)
1/8
Next are numbers. Start on numbers with largest denominator.
![[Diagram]](../../diagrams/6/47006deac04cd1fcfbe7d246dd27378e.png)
-1/4
Most of these results are proved on other pages.
See also: