Difference between revisions of "Edge template VII1a"

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(A page for template VII-1a)
 
(Added bobson's hexprover proof, added two possible lines)
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This template has width 17, and its [[carrier]] has size 84, including the red stone. It was one of three templates that were discovered and verified by a collaborations of several users on the [[Hex forums|Hex Discord]] in October and November 2023. See [[Seventh row template problem]] for more information on the discovery of this template.
 
This template has width 17, and its [[carrier]] has size 84, including the red stone. It was one of three templates that were discovered and verified by a collaborations of several users on the [[Hex forums|Hex Discord]] in October and November 2023. See [[Seventh row template problem]] for more information on the discovery of this template.
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The template has also been verified by [[User:Bobson8|Bobson8]] in the [[HexProver]] tool. The proof can be downloaded at [https://web.archive.org/save/https://cdn.discordapp.com/attachments/964029738161176630/1247583327829885059/VIItest2_1.hpf?ex=66608e04&is=665f3c84&hm=de7c1c1f9a64bd770c88c1bcd5cde9309c82c6e8280e67ca8159db6d73733f19& VIItest2_1.hpf] (shared by Bobson8 on the Hex Discord at Jun 4, 2024) and viewed in HexProver.
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This template is too complex to be described in full, however, some of the possible lines include:
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Blue's [[Blocking|adjacent block]] may continue as follows ([https://hexworld.org/board/#17,:pa16:pb15:pc14:pd14:pe13:pf12:pg12:ph11:pi11:pj10:pk10:pq14:pq13:pq12:pp12:pp11:po11:po10:pn10:pm10l11l12j12k12k11i14h13g14h14g16j13j14n12m12h15h16i15i16j15j16k15k16m15l15m13m14o13 HexWorld]):
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<hexboard size="7x17"
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  coords="none"
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  edges="bottom"
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  visible="area(a7,q7,q5,p3,n1,j1,f3,c5)"
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  contents="R l1 B 1:l2 R 2:j2 B 3:k2 R 4:k1 B 5:i4 R 6:h3 B 7:g4 R 8:h4 B 9:g6 R 10:j3 B 11:j4 R 12:n2 B 13:m2 R 14:h5 B 15:h6 R 16:i5 B 17:i6 R 18:j5 B 19:j6 R 20:k5 B 21:k6 R 22:m5 B 23:l5 R 24:m3 B 25:m4 R 26:o3"
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  />
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Another continuation of the adjacent block, involving the [[Tom's move#Tall variant|tall variant]] of Tom's move ([https://hexworld.org/board/#17,:pa16:pb15:pc14:pd14:pe13:pf12:pg12:ph11:pi11:pj10:pk10:pq14:pq13:pq12:pp12:pp11:po11:po10:pn10:pm10l11l12j12k12k11i14h13g14h14g16j13j14n12m13l13k15m12n13h15h16j15i17j16j17k16k17n15m16l16l17o13n16p15 HexWorld]):
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<hexboard size="7x17"
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  coords="none"
 +
  edges="bottom"
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  visible="area(a7,q7,q5,p3,n1,j1,f3,c5)"
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  contents="R l1 B 1:l2 R 2:j2 B 3:k2 R 4:k1 B 5:i4 R 6:h3 B 7:g4 R 8:h4 B 9:g6 R 10:j3 B 11:j4 R 12:n2 B 13:m3 R 14:l3 B 15:k5 R 16:m2 B 17:n3 R 18:h5 B 19:h6 R 20:j5 B 21:i7 R 22:j6 B 23:j7 R 24:k6 B 25:k7 R 26:n5 B 27:m6 R 28:l6 B 29:l7 R 30:o3 B 31:n6 R 32:p5"
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  />
  
 
[[category:edge templates]]
 
[[category:edge templates]]

Revision as of 17:32, 4 June 2024

Template VII-1a is a 7th row edge template with one stone.

This template has width 17, and its carrier has size 84, including the red stone. It was one of three templates that were discovered and verified by a collaborations of several users on the Hex Discord in October and November 2023. See Seventh row template problem for more information on the discovery of this template.

The template has also been verified by Bobson8 in the HexProver tool. The proof can be downloaded at VIItest2_1.hpf (shared by Bobson8 on the Hex Discord at Jun 4, 2024) and viewed in HexProver.

This template is too complex to be described in full, however, some of the possible lines include:

Blue's adjacent block may continue as follows (HexWorld):

4231131261024267851125141618202322915171921

Another continuation of the adjacent block, involving the tall variant of Tom's move (HexWorld):

4231161261014131730785111820152632919222428273121232529