User:Confocal/H

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The table is very incomplete. It includes a number of (both elementary and composite) H-to-H conduits.
x = 85, y = 61, rule = LifeHistory 14.F2$15.F2$4.F.F.F.F.F.F.F2$4.F10.F2$4.F9.F2$4.F2$4.F2$F3.F3.F5.5F 15.4F16.F19.4F$2.F3.F7.F19.F3.F15.F19.F3.F$4.F9.F19.F3.F15.F19.F3.F$ 14.3F17.4F16.F19.4F$14.F19.F2.F16.F19.F3.F$14.F19.F3.F15.F19.F3.F$14. F19.F3.F15.5F15.4F7$15.D19.3D17.3D17.D$15.D.D17.D20.D18.3D$15.DCD16. 3D17.3D18.D.D$17.D59.D14$14.5F15.4F16.F19.4F$14.F19.F3.F15.F19.F3.F$ 14.F5.F3.F9.F3.F.F3.F9.F5.F3.F9.F3.F.F3.F$14.3F4.F.F10.4F3.F.F10.F6.F .F10.4F3.F.F$14.F7.F11.F2.F4.F11.F7.F11.F3.F3.F$14.F6.F.F10.F3.F2.F.F 10.F6.F.F10.F3.F2.F.F$14.F5.F3.F9.F3.F.F3.F9.5F.F3.F9.4F2.F3.F7$17.D 16.3D17.3D20.D$15.3D18.D18.D19.D.D$15.D.D17.3D17.3D17.3D$15.D59.D! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 700 WIDTH 960 THUMBSIZE 2 ZOOM 10 THEME LifeHistory GRID OFF VIEWONLY ]]
Coordinates and orientations (see also {{conduit}})
(click above to open LifeViewer)

Table

Not counting composite Herschel conduits with an intermediate Herschel, most listed components can be found in the existing H-to-H collection (forum link).

Sort the table by "x-y", then sort by "m", then look through the conduits with output orientation "F", and you'll discover that F171, F117, F166, F114 are interchangeable in certain contexts: all these conduits have x − y = 46.

t m x y Description x−y x+y
114 F 32 −14 F114[1] = dirty H?72JJ + JJ?42H 46 18
116 F 32 1 F116 31 33
117 F 40 −6 F117 = HFx58B + BFx59H 46 34
128 F 24 7 F128 17 31
131 F 32 4 F131 28 36
149 F 43 −12 F149[2] = HF95P + P?12JJ + JJ?42H 55 31
150 F 36 11 F150 25 47
154 F 50 0 2 × Fx77 50 50
166 F 49 3 F166 46 52
171 F 29 −17 F171 46 12
172 F 34 −34 2 × Lx86 68 0
172 F 43 3 F172 = HF124R + RF48H 40 46
176 F 45 −14 F176 = HF95P + PF35W + WFx46H 59 31
176 F 44 21 R64 + L112 23 65
176 F 21 −44 L112 + R64 65 −23
189 F 32 −22 F189 54 10
194 F 51 −11 F194_1 = dirty HFx107R + RF28B + BFx59H 62 40
194 F 59 −7 F194_2 = HF95P + PF40B + BFx59H 66 52
196 F 45 22 Fx119 + Fx77 23 67
196 F 45 −22 Fx77 + Fx119 67 23
202 F 58 6 F202[3] = HFx143B[4] BFx59H 52 64
209 F 62 −28 F209 = HFx58B + 2 × BRx46B + BFx59H 90 34
220 F 52 26 R64 + L156 26 78
220 F 26 −52 L156 + R64 78 −26
224 F 32 −51 Lx138 + Lx86 83 −19
224 F 51 −32 Lx86 + Lx138 83 19
226 F 45 45 2 × Rx113_1[5] 0 90
226 F 56 18 F226[3] = HR120B[4] BLx19R RF28B BFx59H 38 74
230 F 73 −4 Fx77 + Fx153 77 69
230 F 73 4 Fx153 + Fx77[6] 69 77
238 F 31 20 R126 + L112 11 51
238 F 20 −31 L112 + R126 51 −11
244 F 26 16 F244 10 42
244 F 62 15 Fx167[7] + Fx77 47 77
244 F 62 −15 Fx77 + Fx167[7] 77 47
246 F 54 −25 F246 79 29
250 F 33 −28 F250 61 5
256 F 44 −9 F256 53 35
258 F 55 −55 2 × Lx129[8] 110 0
271 F −4 −52 F271_1 48 −56
271 F 53 −30 F271_2 = HL75P + PT9B + BF187H[9] 83 23
272 F 68 −18 Fx153 + Fx119 86 50
272 F 68 18 Fx119 + Fx153 50 86
276 F 49 −49 2 × Lx138 98 0
281 F 66 −14 F281_1 = HF94B + BF187H[9] 80 52
281 F 19 −35 F281_2 54 −16
282 F 58 5 F282 = HFx58B + BL84I + IRx82R + (RF28B + BF20H, RF57R) 53 63
286 F 57 7 Fx119 + Fx167[7] 50 64
286 F 57 −7 Fx167[7] + Fx119 64 50
289 F 53 −32 F289 = HL156R + RF28B + BFx46B + BFx59H 85 21
293 F 46 −54 HLx111R RF28B BLx154H[10] 100 −8
301 F 84 −50 F301 = HFx58B + 4 × BRx46B + BFx59H 134 34
306 F 96 0 2 × Fx153 96 96
320 F 85 11 Fx167[7] + Fx153 74 96
320 F 85 −11 Fx153 + Fx167[7] 96 74
326 F 68 −68 2 × Lx163 136 0
334 F 74 0 2 × Fx167[7] 74 74
347 F 73 4 R64 L112 F171[6] 69 77
70 Fx 17 5 Fx70 Expression error: Unrecognized punctuation character "". Expression error: Unrecognized punctuation character "".
77 Fx 25 −8 Fx77 33 17
119 Fx 20 14 Fx119 6 34
153 Fx 48 −4 Fx153 = HF94B + BFx59H 52 44
158 Fx 27 −5 Fx158 32 22
167 Fx 37 7 Fx167[7] 30 44
169 Fx 51 −11 Fx169 = HF110B + BFx59H 62 40
176 Fx 45 0 Fx176 = HF95P + PF35W + WFx46H 45 45
191 Fx 45 −25 Fx191 = HF132B[12] + BFx59H 70 20
198 Fx 63 17 Fx198 46 80
203 Fx 53 −22 Fx203 = HLx69R + RF28B + BLx19R + RF28B + BFx59H 75 31
235 Fx 55 10 Fx235[13] = HF176B[14] + BFx59H 45 65
244 Fx 45 −20 Fx244 = HF157R + RF28B + BFx59H 65 25
245 Fx 51 −38 Fx245_1 89 13
245 Fx 70 18 Fx245_2 = HF94B + 2 × BRx46B + BFx59H 52 88
245 Fx 58 4 Fx245_3 = HFx58B + BF187H[9] 54 62
272 Fx 47 −22 HL*75P PL*197H[15] 69 25
273 Fx 59 −26 Fx273 = HF214B + BFx59H 85 33
286 Fx 41 18 Fx286 = HF94B + BRx46B + BR146H 23 59
289 Fx 51 −39 Fx289 = HL75P + PR*127R + RF28B + BFx59H 90 12
295 Fx 31 −44 Fx295 = HLx69R + RF28B + 2 × BRx46B + BLx19R + RF28B + BFx59H 75 −13
304 Fx 60 12 HFx117B[16] BF187H[9] 48 72
337 Fx 92 40 Fx337 = HF94B + 4 × BRx46B + BFx59H 52 132
387 Fx 9 −66 Fx387 = HLx69R + RF28B + 4 × BRx46B + BLx19R + RF28B + BFx59H 75 −57
49 R −1 22 R49 −23 21
64 R 11 9 R64 2 20
126 R −2 8 R126 −10 6
152 R 26 32 R152 −6 58
190 R 24 16 R190 8 40
190 R 18 44 R190 = Rx113_1[5] + Fx77 −26 62
197 R 19 24 R197 −5 43
199 R 33 33 R199 0 66
240 R 33 4 R240_1 29 37
240 R 47 −23 R240_2 70 24
246 R 50 −22 R246 72 28
284 R 52 −31 R284 83 21
291 R 59 −21 R291 80 38
421 R 17 60 R421[17] −43 77
113 Rx 26 19 Rx113_1 = HRx65R + RF48H[5] 7 45
113 Rx 11 27 Rx113_2 = HR54B + BFx59H[18] −16 38
179 Rx 20 37 Rx179[4][3] = HR120B BFx59H −17 57
202 Rx 7 32 Rx202 −25 39
249 Rx 39 42 Rx249[3] = HFx143B[4] BLx19R RF28B BFx59H −3 81
112 L 12 −33 L112 45 −21
156 L 17 −41 L156_1 58 −24
156 L 4 −41 L156_2 45 −37
190 L 51 −27 L190 = Fx77 + Rx113_1[5] 78 24
190 L 36 −35 L190 = Fx77 + Rx113_2[18] 71 1
224 L 3 −27 L224[19] 30 −24
273 L 57 −47 F117 L156_1[20] 104 10
288 L 57 −47 F176 L112[20] 104 10
292 L 26 −43 HF*95P PL*197H[15] 69 −17
86 Lx 19 −15 Lx86 34 4
129 Lx 16 −39 Lx129[8] = HL75P + P?12JJ + JJ?42H 55 −23
134 Lx 10 −31 Lx134[21] 41 −21
138 Lx 17 −32 Lx138 49 −15
200 Lx 17 −40 Lx200 57 −23
128 B 2 20 2 × R64 −18 22
170 B −15 0 B170[22] −15 −15
295 B 2 27 B295[3] = HFx143B[4] BLx19R (RF28B BRx46B)[23] BFx59H −25 29
125 Bx −9 −17 Bx125 8 −26
334 Bx −17 48 R64 Fx158 L112[24] −65 31
457 Bx −17 48 R190 R190 Fx77[24] −65 31

References

  1. https://conwaylife.com/forums/viewtopic.php?p=163335#p163335
  2. https://conwaylife.com/forums/viewtopic.php?p=148732#p148732
  3. 3.0 3.1 3.2 3.3 3.4 https://conwaylife.com/forums/viewtopic.php?p=167507#p167507
  4. 4.0 4.1 4.2 4.3 4.4 https://conwaylife.com/forums/viewtopic.php?p=167467#p167467
  5. 5.0 5.1 5.2 5.3 https://conwaylife.com/forums/viewtopic.php?p=157718#p157718
  6. 6.0 6.1 https://conwaylife.com/forums/viewtopic.php?p=166519#p166519
  7. 7.0 7.1 7.2 7.3 7.4 7.5 7.6 7.7 https://conwaylife.com/forums/viewtopic.php?p=166946#p166946
  8. 8.0 8.1 https://conwaylife.com/forums/viewtopic.php?p=148742#p148742
  9. 9.0 9.1 9.2 9.3 https://conwaylife.com/forums/viewtopic.php?p=19867#p19867
  10. https://conwaylife.com/forums/viewtopic.php?p=55244#p55244
  11. Haycat Durnak (October 14, 2023). Re: The Hunting of the New Herschel Conduits (discussion thread) at the ConwayLife.com forums
  12. https://conwaylife.com/forums/viewtopic.php?p=140397#p140398
  13. https://conwaylife.com/forums/viewtopic.php?p=167500#p167500
  14. https://conwaylife.com/forums/viewtopic.php?p=167490#p167490 https://conwaylife.com/forums/viewtopic.php?p=168213#p168213
  15. 15.0 15.1 https://conwaylife.com/forums/viewtopic.php?p=167749#p167749
  16. https://conwaylife.com/forums/viewtopic.php?p=167604#p167604
  17. https://conwaylife.com/forums/viewtopic.php?p=16382#p16382
  18. 18.0 18.1 https://conwaylife.com/forums/viewtopic.php?p=150815#p150815
  19. https://conwaylife.com/forums/viewtopic.php?p=150801#p150801
  20. 20.0 20.1 https://conwaylife.com/forums/viewtopic.php?p=50069#p50069
  21. https://conwaylife.com/forums/viewtopic.php?p=148676#p148676
  22. https://conwaylife.com/forums/viewtopic.php?p=162629#p162629
  23. https://conwaylife.com/forums/viewtopic.php?p=133612#p133612
  24. 24.0 24.1 https://conwaylife.com/ref/lifepage/patterns/p1/g945.html