Difference between revisions of "Size 6 e3 loses (Y)"
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(in the Y game.) |
(Converted to new hexboard diagrams, some editing.) |
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− | e3 and symmetrical moves (c5 e5) are losing moves even if the [[swap rule]] is disabled. Blue answers d5. | + | e3 and symmetrical moves (c5, e5) are losing moves even if the [[swap rule]] is disabled. Blue answers d5. |
− | < | + | <hexboard size="6x6" |
− | + | edges="none" | |
− | + | coords="bottom right" | |
− | + | visible="area(f1,a6,f6)" | |
− | + | contents="R e3 B d5" | |
− | + | /> | |
− | + | ||
− | + | ||
− | Blue | + | Blue threatens to win via b6 reduction (or e6). |
− | The | + | The threat's [[carrier]] is shown. |
− | < | + | <hexboard size="6x6" |
− | + | edges="none" | |
− | + | coords="bottom right" | |
− | + | visible="area(f1,a6,f6)" | |
− | + | contents="R e3 B d5 B *:b6 S area(b5,a6,f6,f3,d5)" | |
− | + | /> | |
− | + | ||
− | + | ||
− | Blue also | + | Blue also threatens to win via c5 reduction (or e5). |
− | + | ||
− | < | + | <hexboard size="6x6" |
− | + | edges="none" | |
− | + | coords="bottom right" | |
− | + | visible="area(f1,a6,f6)" | |
− | + | contents="R e3 B d5 B *:c5 S area(c4,a5,b6,f6,f3,d5)" | |
− | + | /> | |
− | + | ||
− | + | ||
− | + | So Red must play in one of the hexes that belong to the carriers of all four threats. | |
− | + | <hexboard size="6x6" | |
+ | edges="none" | ||
+ | coords="bottom right" | ||
+ | visible="area(f1,a6,f6)" | ||
+ | contents="R e3 B d5 S area(a5,b6,e6,f5)-d5" | ||
+ | /> | ||
− | + | == Solution to intrusion at b5, b6 or c5 == | |
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | If Red plays at b5, b6, or c5 (or all three), Blue plays d4. | |
− | < | + | <hexboard size="6x6" |
− | + | edges="none" | |
− | + | coords="bottom right" | |
− | + | visible="area(f1,a6,f6)" | |
− | + | contents="R e3 B d5 R 1:(b5 b6 c5) B 2:d4" | |
− | + | /> | |
− | + | ||
− | + | ||
− | + | On the left, 2 is connected to the edge. On the right, Blue now has the following 3 threats: | |
− | + | ||
− | 2 | + | |
− | 3: | + | |
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | <hexboard size="6x6" | |
+ | edges="none" | ||
+ | coords="bottom right" | ||
+ | visible="area(f1,a6,f6)" | ||
+ | contents="R e3 B d5 R 1:(b5 b6 c5) B 2:d4 B *:e4 S (e4 f3 f4 d5 c6 d6)" | ||
+ | /> | ||
− | == | + | <hexboard size="6x6" |
+ | edges="none" | ||
+ | coords="bottom right" | ||
+ | visible="area(f1,a6,f6)" | ||
+ | contents="R e3 B d5 R 1:(b5 b6 c5) B 2:d4 B *:e5 S (e5 f4 f5 d5 c6 e6)" | ||
+ | /> | ||
− | + | <hexboard size="6x6" | |
− | < | + | edges="none" |
− | + | coords="bottom right" | |
− | + | visible="area(f1,a6,f6)" | |
− | + | contents="R e3 B d5 R 1:(b5 b6 c5) B 2:d4 B *:e6 S (d5 d6 e5 e6 f5 f6)" | |
− | + | /> | |
− | + | Since the threats don't overlap, Blue wins. In other words, Blue had a [[corner template]]. | |
− | + | ||
− | + | ||
− | The solution is very similar. | + | == Solution to intrusion at c6 == |
+ | |||
+ | If Red intrudes at c6, Blue plays c5. | ||
+ | |||
+ | <hexboard size="6x6" | ||
+ | edges="none" | ||
+ | coords="bottom right" | ||
+ | visible="area(f1,a6,f6)" | ||
+ | contents="R e3 B d5 R 1:c6 B 2:c5" | ||
+ | /> | ||
+ | |||
+ | The rest of the solution is very similar. | ||
[[category:Y]] | [[category:Y]] |
Latest revision as of 00:18, 15 July 2021
e3 and symmetrical moves (c5, e5) are losing moves even if the swap rule is disabled. Blue answers d5.
Blue threatens to win via b6 reduction (or e6). The threat's carrier is shown.
Blue also threatens to win via c5 reduction (or e5).
So Red must play in one of the hexes that belong to the carriers of all four threats.
Solution to intrusion at b5, b6 or c5
If Red plays at b5, b6, or c5 (or all three), Blue plays d4.
On the left, 2 is connected to the edge. On the right, Blue now has the following 3 threats:
Since the threats don't overlap, Blue wins. In other words, Blue had a corner template.
Solution to intrusion at c6
If Red intrudes at c6, Blue plays c5.
The rest of the solution is very similar.