## The Hunting of the New Herschel Conduits

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

### Re: The Hunting of the New Herschel Conduits

gmc_nxtman wrote:
simeks wrote:EDIT: It can actually insert a glider at the minimum distance in front of another glider:

x = 40, y = 52, rule = LifeHistory12.A$11.A.A4.2A$11.A.A4.2A$10.2A.2A12.A$10.A14.3A$11.A.2A9.A$9.A.A.2A9.2A$9.2A3$20.2A$20.2A9$14.C$14.C.C$14.3C$16.C21.2A$38.A$36.A.A$36.2A$32.2A$32.A.A$33.2A4$31.2A.A$31.2A.3A$37.A$26.2A3.2A.3A$26.2A4.A.A$32.A.A$33.A10$.2A$A.A$2.A! Impressive! Unfortunately it's minimum insertion window is 87 ticks wide, so as far as low-period guns are concerned it's not so helpful, but still a great find. x = 40, y = 52, rule = LifeHistory12.A$11.A.A4.2A$11.A.A4.2A$10.2A.2A12.A$10.A14.3A$11.A.2A9.A$9.A.A.2A9.2A$9.2A3$20.2A$20.2A9$14.C$14.C.C$14.3C$16.C21.2A$38.A$36.A.A$36.2A$23.A8.2A$23.2A7.A.A$22.A.A8.2A4$31.2A.A$31.2A.3A$37.A$26.2A3.2A.3A$26.2A4.A.A$32.A.A$33.A10$.2A$A.A$2.A!
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### Re: The Hunting of the New Herschel Conduits

A long time ago, chris_c wrote:Using [Kazyan's] G->MWSS mechanism I can get a repeat time of 98 with fairly reasonable bounding box:

x = 127, y = 65, rule = LifeHistory80.2A11.A$79.B2AB9.A.A26.B$80.3B9.A.A24.2A2B$79.B.B9.2A.3A21.BABA2B$79.5B8.B4.A15.4B.2BA3B$79.6B6.2AB3A9.4B2.12B$79.8B4.2A.A11.5B.11B$80.13B12.18B$78.13B14.17B$77.15B13.19B$77.15B10.B2.20B$76.17B.B5.26B$76.51B$75.13B2A13B2A21B$74.14B2A13B2A21B$73.2AB3.46B$72.A2.A4.44B$71.A.2A5.6B3.B2.2B2.27B$71.A7.6B13.4B2.18B$70.2A6.9B17.9B.7B$42.A34.4B4.2A19.6B3.6B$42.3A31.4B5.A21.4B3.6B$38.A6.A29.4B7.3A17.4B5.6B$B36.A.A4.2A28.4B10.A16.4B5.6B$BC35.A.A4.5B24.4B27.4B7.6B$2BC32.3A.2A5.4B11.A10.4B27.4B7.6B$3CB30.A4.B5.5B9.3A9.4B27.4B9.6B$.4B23.A6.3AB2AB2.6B8.A11.4B27.4B9.6B$2.4B22.3A6.A.2AB2.6B.2B5.2A9.4B27.4B11.6B$3.4B24.A7.21B8.4B27.4B11.6B$4.4B10.A11.2A3.B5.17B9.4B17.2A8.4B13.6B$5.4B7.3A11.8B2.15B2A2B7.4B14.A.A2.A7.4B3.A9.6B$6.4B5.A16.22BA2BA2B5.4B13.3A.2A8.4B3.A.A9.6B$7.4B4.2A15.23B2A3B4.4B13.A4.B8.4B4.A.A8.6B$2A6.9B14.19B3.9B.4B11.A2.4AB2AB5.4B4.2A.2A8.6B$.A7.6B14.21B4.12B12.3A3.A.2AB.2B.4B6.B10.6B$.A.2A5.6B3.B2.2B2.25B4.10B16.A4.10B6.2AB2A3.2A3.6B$2.A2.A4.34B4.4B3.9B16.2AB4.9B6.2A.A.A.A.A2.6B$3.2AB3.27B.6B6.4B.9B17.5B.12B3.4B2.A.A5.6B$4.14B2A16B2.B.5B5.4B.7B20.23B.2A.2A3.6B$5.13B2A16B7.2A6.10B19.25B10.6B$6.29B8.A8.4B.2B7.A13.25B9.6B$6.17B.B.2B16.3A6.4B7.3A12.27B9.6B$7.15B4.3B17.A7.4B5.A15.27B8.6B$7.15B5.A2B.2A22.4B4.2A15.25B10.6B$8.13B5.A.A2B.A15.2A6.9B14.21B.4B.2B2.2A2.6B$10.13B2.A.AB2.A17.A7.6B14.20B5.3B2ABA2.A3.6B$9.8B4.2A.A.A3.A18.A.2A5.6B3.B2.2B2.20B10.ABAB3A3.6B$9.6B6.2ABA2.4A.A17.A2.A4.36B10.A.A8.6B$9.5B8.B2.A.A3.A.A17.2AB3.27B.9B8.3A.5A3.6B$9.B.B9.2A.2A2.A2.A.A18.14B2A16B2.7B8.A3.A4.A4.6B$10.3B9.A.A2.2A3.A20.13B2A16B3.5B9.2A2.A.A6.6B$9.B2AB9.A.A29.29B5.3B15.2A7.6B$10.2A11.A30.17B.B.2B10.7B21.6B$55.15B4.3B9.2A.B.2A22.6B$55.15B5.A2B.2A6.A3.A22.6B$56.13B5.A.A2B.A3.3A5.3A20.6B$58.13B2.A.AB2.A4.A9.A19.6B$57.8B4.2A.A.A3.A36.6B$57.6B6.2ABA2.4A.A33.6B$57.5B8.B2.A.A3.A.A33.6B$57.B.B9.2A.2A2.A2.A.A32.6B$58.3B9.A.A2.2A3.A34.6B$57.B2AB9.A.A41.6B$58.2A11.A43.6B!#C [[ STEP 5 STOP 575 ]]

A G-to-MWSS turned up today with four ticks longer conversion time, but a repeat time of 90, a smaller bounding box and much lower population (203 instead of 336):

x = 105, y = 73, rule = LifeHistory92.2A$91.B2A2B3.2A$92.4B2.B2AB$66.A21.B.6B3.2B$64.3A19.10B2.2B$46.2B15.A22.11B2A2B$45.4B14.2A20.12B2A3B.B$45.4B15.B20.18B2A$41.B2.6B14.3B19.15B.B2A$40.2AB.2B2A2B13.6B16.15B3.B$40.2A3BA2BA3B.B8.10B11.17B$41.2B.2B2A7B3.2B2.11B3.2B2.19B$44.18BD3B2A15BD15B$45.17B2D2B2A15BDBD4B.7B$45.18B2D18B3D4B2.6B$45.18BD21BD4B2.7B$44.18BD26B4.6B$42.B.13B2.B4.13B.4B10.6B$41.2A14B7.7B.B5.3B12.5B$41.2A4BD9B19.4B13.6B$42.2B.B3D7B20.2A15.6B$45.D2B2D6B21.A15.7B$45.10B19.3A16.7B$41.2A2.6B23.A17.8B$.A38.A.A9B40.8B$2BA37.A3.9B38.8B$3AB35.2A3.9B39.2B2A3B$.4B39.9B39.2B2A5B$2.4B38.9B35.13B$3.4B36.11B32.16B$4.4B10.A24.11B32.17B$5.4B7.3A24.12B31.16B$6.4B5.A21.B4.14B30.15B$7.4B4.2A19.3B3.10B.4B30.13B$2A6.9B17.6B2.16B30.11B$.A7.6B13.4B2.7B.17B27.13B$.A.2A5.6B3.B2.2B2.29B.4B25.14B$2.A2.A4.19BD25B2.4B24.16B.B.B$3.2AB3.20BDBD23B3.4B23.20B$4.14B2A9B3DB2A21B3.4B22.15B5D$5.13B2A11BDB2A21B4.4B22.13BD4BD$6.51B4.4B19.20BD$6.17B.B5.26B6.4B17.2A14BD3BDB$7.15B10.B2.20B8.4B16.ABA15BD.B$7.15B12.20B.B.B6.4B14.2BA9B2A4B$8.13B12.24B2A6.4B14.10BA2BA2B$10.13B10.24B2A7.4B14.3B.6B2A2B$9.8B4.2A.A6.2AB2.5B2.12B.2B9.4B20.6B$9.6B6.2AB3A3.A.AB2.4B3.13B12.4B20.6B$9.5B8.B4.A2.A14.11B.B11.4B19.6B$9.B.B9.2A.3A2.2A14.12B2A11.4B10.A6.6B$10.3B9.A.A20.10B.B2A12.4B7.3A5.9B$9.B2AB9.A.A18.2AB.6B4.B14.4B5.A7.4B4.2A$10.2A11.A18.A.AB.4B22.4B4.2A5.4B5.A$42.A5.5B21.9B4.4B7.3A$41.2A8.2A22.6B5.4B10.A$51.A23.8B2.4B$52.3A18.15B$54.A18.14B$73.13B$71.2AB.10B$70.A.AB3.B2A3B$70.A6.B2A3B$69.2A6.4B$78.3B$79.2B.BA$78.B2ABA.A$77.BABABA.A$75.A2.A.A.A.A.2A$75.4A.2A2.A2.A$79.A4.2A$77.A.A$77.2A!#C [[ STEP 5 STOP 579 ]]

This implies an Orthogonoid construction arm with a population in the low 300s; my best previous attempt was in the low 400s. Time to fire up slmake!

x = 135, y = 117, rule = LifeHistory11.2A$4.2A5.2A$4.2A127.2A$38.A94.2A$38.3A$6.2A33.A$6.2A32.2A$2A$2A$57.2A4.2A$56.A2.A3.2A$57.2A$37.2A$37.2A5$62.2A$62.2A$27.2A$27.A$28.3A$30.A31.2A$62.A.A$64.A$9.2A53.2A$9.2A$92.A27.2A3.2A$92.3A25.2A3.2A$95.A$94.2A$132.2A$132.A$130.A.A$130.2A2$91.2A$91.2A$70.2A$70.2A2$20.2A105.2A$19.A.A105.A$9.2A9.A77.2A28.3A$8.A2.A34.2A50.A31.A$9.2A35.2A51.3A$72.2A27.A$72.A.A$74.A$20.A25.2A26.2A$20.3A23.2A$6.2A15.A36.2A52.2A$7.A14.2A36.A.A51.2A$4.3A55.A59.2A$4.A47.2A8.2A58.A$53.A69.3A$50.3A72.A$50.A$124.A$32.2A89.A.A$25.2A5.A.A88.A.A$25.2A7.A87.2A.3A$34.2A92.A$122.2A.3A$21.A100.2A.A$20.A.A.2A$20.A.A.A.A87.2A$17.2A.A.A.A.A2.A75.2A7.2A$17.A2.A2.2A.4A76.A$19.2A4.A80.A.A$25.A.A79.2A$26.2A3$127.2A$127.2A5$112.A$111.A.A$111.A.A$112.A$87.2A20.3A$88.A20.A$86.A$86.5A14.2A$91.A13.A$88.3A12.A.A$87.A15.2A$87.4A$85.2A3.A3.2A$84.A2.3A4.2A$84.2A.A$87.A$87.2A3$95.2A$96.A$93.3A$93.A4$34.2A50.5A$31.3A.2A48.A4.A26.2A$31.5A54.A26.2A$32.3A50.A3.A$87.A$114.2A$114.A.A$112.A.A.3A$112.2A5.A$118.2A! It will take a couple of Fx77s and a little adjustment to make it Hashlife-friendly and easily buildable by slmake, but it will still be fairly compact compared to everything I've managed to build before this. dvgrn Moderator Posts: 5343 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI ### Re: The Hunting of the New Herschel Conduits dvgrn wrote:A G-to-MWSS turned up today with four ticks longer conversion time, but a repeat time of 90, a smaller bounding box and much lower population (203 instead of 336) Looks good. I had a play around with Hersrch and came up with the following Orthogonoid design. The offset is 256 cells in 3*2^10 generations. It takes out one Snark in favour of L156 and Lx138 and doesn't require any extra Fx77's to make the timing nice. How do you think it would compare? (I've peeked at slmake but not very seriously) x = 397, y = 305, rule = LifeHistory123.2A$122.B2A2B3.2A$123.4B2.B2AB$97.A21.B.6B3.2B$95.3A19.10B2.2B$77.2B15.A22.11B2A2B$76.4B14.2A20.12B2A3B.B$76.4B15.B20.18B2A$72.B2.6B14.3B19.15B.B2A$71.2AB.2B2A2B13.6B16.15B3.B$71.2A3BA2BA3B.B8.10B11.17B$72.2B.2B2A7B3.2B2.11B3.2B2.19B$75.22B2A31B$76.21B2A22B.7B$76.45B2.6B$76.45B2.7B$75.45B4.6B$73.B.13B2.B4.13B.4B10.6B$72.2AB.12B7.7B.B5.3B12.5B$72.2A14B19.4B13.6B$73.2B.11B20.2A15.6B$76.11B21.A15.7B$76.10B19.3A16.7B$72.2A2.6B23.A17.8B$71.A.A9B40.8B$71.A3.9B38.8B$70.2A3.9B39.2B2A3B$75.9B39.2B2A5B$28.A14.A31.9B35.13B$27.A.A11.3A30.11B32.16B$27.A.A10.A33.11B32.17B$25.3A.2A9.2A32.12B31.16B$24.A4.B11.B26.B4.14B30.15B$25.3AB2A2.B2A5.3B23.3B3.10B.4B30.13B$27.A.2A2.B2A4.6B19.6B2.16B30.11B$29.7B3.10B10.4B2.7B.17B27.13B$31.19B3.2B2.29B.4B25.14B$30.13B2A41B2.4B24.16B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B$31.12B2A41B3.4B23.198B$32.32B2A21B3.4B22.195B5D$25.2A5.32B2A21B4.4B22.193BD4BD$26.A5.56B4.4B19.200BD$26.A.AB2.8B.13B.B5.26B6.4B17.2A194BD3BD$27.2AB.9B.7B.B13.B2.20B8.4B16.ABA16B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.D$29.11B25.20B.B.B6.4B14.2BA9B2A4B$29.11B13.2A9.24B2A6.4B14.6B.3BA2BA2B$29.9B.B2A12.A9.24B2A7.4B14.3B3.4B2A2B$30.7B2.BA.A8.3A8.2AB2.5B2.12B.2B9.4B20.6B$29.8B5.A8.A9.A.AB2.4B3.13B12.4B20.6B$30.8B4.2A17.A14.11B.B11.4B19.6B$31.7B22.2A14.12B2A11.4B10.A6.6B$28.11B37.10B.B2A12.4B7.3A5.9B$27.11B36.2AB.6B4.B14.4B5.A7.4B4.2A$27.11B35.A.AB.4B22.4B4.2A5.4B5.A$27.11B35.A5.5B21.9B4.4B7.3A$27.8B2.B2A32.2A8.2A22.6B5.4B10.A$27.7B3.BA.A41.A23.8B2.4B$27.7B6.A42.3A18.15B$B26.6B7.2A43.A18.14B$2B24.7B71.13B$3B22.8B69.2AB.10B$4B20.8B69.A.AB3.B2A3B$.4B19.8B69.A6.B2A3B$2.4B16.2AB2.6B67.2A6.4B$3.4B14.A.AB.7B76.3B$4.4B13.A4.6B78.2B.BA$5.4B11.2A4.6B77.B2ABA.A$6.4B16.6B76.BABABA.A$7.4B14.8B73.A2.A.A.A.A.2A$8.4B14.8B72.4A.2A2.A2.A$9.4B12.9B76.A4.2A$10.4B11.9B74.A.A$11.4B10.10B73.2A$12.4B9.5B2A3B$13.4B8.5B2A4B3.2A$14.4B7.11B3.A$15.4B6.12BA.A$16.4B7.8B2.2A$17.4B6.7B$18.4B5.6B$19.4B4.6B$20.4B3.7B$21.12B$22.11B6.A46.A$23.10B4.3A44.3A$22.B.10B2.A11.A34.A$21.A2B.8B3.2A8.3A15.A18.2A7.2A3.2A$20.A.A15B7.A18.3A14.4B6.B2AB.B2AB$21.AB.12B5.B3.2A20.A12.3B5.B3.3B2.2B$24.13B2.8B19.2A11.4B3.4B.3B.3B$25.20B21.B11.13B.7B5.2A$25.20B19.3B9.23B5.A$23.2AB.19B16.6B4.8B.19B.BA.A$22.A.AB.21B11.10B2.29B.B2A$22.A4.24B2.2B3.44B$21.2A2.4B4.30B2A37B$25.2A7.6B.22B2A37B$26.A5.5B.B2.60B$23.3A6.2A7.58B$23.A9.A8.59B$30.3A16.4B.13B4.25B3.2A$30.A19.4B4.B.7B4.B4.20B3.A$51.4B15.2A7.15B6.3A$52.4B14.A12.11B8.A$53.4B14.3A8.13B$54.4B15.A7.15B$55.4B21.16B$56.4B19.17B$57.4B19.16B$58.4B19.13B$59.4B18.5B2A2B.3B$60.4B19.3B2A2B2.4B$61.4B18.8B3.2A$62.4B16.8B4.A$63.4B15.8B5.3A$64.4B14.7B8.A$65.4B13.7B$66.4B13.6B7.A$67.4B12.6B6.A.A$68.4B12.5B6.A.A$69.4B11.6B4.2A.3A$70.4B9.6B6.B4.A$71.4B8.7B3.B2AB3A$72.4B8.8B.B2A.A$73.3B8.10B$75.B2A5.3B2A6B$75.BA.A5.2B2A6B$78.A5.10B$78.A.AB2.11B167.2A$79.2AB.12B160.2A3.2B2AB$81.15B158.B2AB2.4B$81.16B158.2B3.6B.B21.A$81.16B.2B156.2B2.10B19.3A$81.18B2A154.2B2A11B22.A15.2B$80.17B.B2A151.B.3B2A12B20.2A14.4B$79.4B2.8B.4B.B151.2A18B20.B15.4B$78.4B4.7B158.2AB.15B19.3B14.6B2.B$77.4B5.6B160.B3.15B16.6B13.2B2A2B.B2A$76.4B6.4B166.17B11.10B8.B.3BA2BA3B2A$75.4B5.A3B169.19B2.2B3.11B2.2B3.7B2A2B.2B$74.4B5.A.AB170.31B2A22B$73.4B6.A.A172.7B.22B2A21B$72.4B8.A173.6B2.45B$71.4B6.3A173.7B2.45B$70.4B7.A175.6B4.45B$69.4B185.6B10.4B.13B4.B2.13B.B$68.4B186.5B12.3B5.B.7B7.12B.B2A$67.4B186.6B13.4B19.14B2A$66.4B187.6B15.2A20.11B.2B$65.4B187.7B15.A21.11B$64.4B188.7B16.3A19.10B$63.4B189.8B17.A23.6B2.2A$62.4B190.8B40.9BA.A$61.4B192.8B38.9B3.A$60.4B193.3B2A2B39.9B3.2A$59.4B192.5B2A2B39.9B$58.4B193.13B35.9B31.A14.A$57.4B193.16B32.11B30.3A11.A.A$56.4B193.17B32.11B33.A10.A.A$55.4B195.16B31.12B32.2A9.2A.3A$54.4B197.15B30.14B4.B26.B11.B4.A$53.4B199.13B30.4B.10B3.3B23.3B5.2AB2.2AB3A$52.4B201.11B30.16B2.6B19.6B4.2AB2.2A.A$51.4B202.13B27.17B.7B2.4B10.10B3.7B$50.4B203.14B25.4B.29B2.2B3.19B$49.5B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.16B24.4B2.41B2A13B$47.224B23.4B3.41B2A12B$44.B.225B22.4B3.21B2A32B$43.2A225B22.4B4.21B2A32B5.2A$43.2A227B19.4B4.56B5.A$44.B2.224B2A17.4B6.26B5.B.13B.8B2.BA.A$46.2B2.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.16BABA16.4B8.20B2.B13.B.7B.9B.B2A$46.2AB207.4B2A9BA2B14.4B6.B.B.20B25.11B$45.A.A209.2BA2BA3B.6B14.4B6.2A24B9.2A13.11B$43.3A.A.A208.2B2A4B3.3B14.4B7.2A24B9.A12.2AB.9B$42.A5.2A209.6B20.4B9.2B.12B2.5B2.B2A8.3A8.A.AB2.7B$42.2A214.6B20.4B12.13B3.4B2.BA.A9.A8.A5.8B38.B$258.6B19.4B11.B.11B14.A17.2A4.8B38.2B$259.6B6.A10.4B11.2A12B14.2A22.7B38.3B$257.9B5.3A7.4B12.2AB.10B37.11B34.4B$257.2A4.4B7.A5.4B14.B4.6B.B2A36.11B32.4B$258.A5.4B5.2A4.4B22.4B.BA.A35.11B31.4B$255.3A7.4B4.9B21.5B5.A35.11B30.4B$255.A10.4B5.6B22.2A8.2A32.2AB2.8B29.4B$267.4B2.8B23.A41.A.AB3.7B28.4B$268.15B18.3A42.A6.7B27.4B$269.14B18.A43.2A7.6B26.4B$270.13B71.7B24.4B$271.10B.B2A69.8B22.4B$273.3B2AB3.BA.A69.8B20.4B$273.3B2AB6.A69.8B19.4B$275.4B6.2A67.6B2.B2A16.4B$275.3B76.7B.BA.A14.4B$272.AB.2B78.6B4.A13.4B$271.A.AB2AB77.6B4.2A11.4B$271.A.ABABAB76.6B16.4B$268.2A.A.A.A.A2.A73.8B14.4B$268.A2.A2.2A.4A72.8B14.4B$270.2A4.A76.9B12.4B$276.A.A74.9B11.4B$277.2A73.10B10.4B$352.3B2A5B9.4B$346.2A3.4B2A5B8.4B$347.A3.11B7.4B$347.A.A12B6.4B$348.2A2.8B7.4B$353.7B6.4B$354.6B5.4B$354.6B4.4B$353.7B3.4B$354.12B$300.A46.A6.11B$300.3A44.3A4.10B$303.A34.A11.A2.10B.B$288.2A3.2A7.2A18.A15.3A8.2A3.8B.2BA$287.B2AB.B2AB6.4B14.3A18.A7.15BA.A$288.2B2.3B3.B5.3B12.A20.2A3.B5.12B.BA$289.3B.3B.4B3.4B11.2A19.8B2.13B$281.2A5.7B.13B11.B21.20B$282.A5.23B9.3B19.20B$282.A.AB.19B.8B4.6B16.19B.B2A$283.2AB.29B2.10B11.21B.BA.A$285.44B3.2B2.24B4.A$285.37B2A30B4.4B2.2A$285.37B2A22B.6B7.2A$286.60B2.B.5B5.A$288.58B7.2A6.3A$286.59B8.A9.A$286.2A3.25B4.13B.4B16.3A$287.A3.20B4.B4.7B.B4.4B19.A$284.3A6.15B7.2A15.4B$284.A8.11B12.A14.4B$292.13B8.3A14.4B$291.15B7.A15.4B$291.16B21.4B$291.17B19.4B$291.16B19.4B$293.13B19.4B$293.3B.2B2A5B18.4B$291.4B2.2B2A3B19.4B$291.2A3.8B18.4B$292.A4.8B16.4B$289.3A5.8B15.4B$289.A8.7B14.4B$298.7B13.4B$290.A7.6B13.4B$289.A.A6.6B12.4B$289.A.A6.5B12.4B$287.3A.2A4.6B11.4B$286.A4.B6.6B9.4B$287.3AB2AB3.7B8.4B$289.A.2AB.8B8.4B$293.10B8.3B$293.6B2A3B5.2AB$293.6B2A2B5.A.AB$293.10B5.A$292.11B2.BA.A$292.12B.B2A$291.15B$290.16B$287.2B.16B$286.2A18B$286.2AB.17B$287.B.4B.8B2.4B$294.7B4.4B$295.6B5.4B$297.4B6.4B$299.3BA5.4B$300.BA.A5.4B$301.A.A6.4B$302.A8.4B$303.3A6.4B$305.A7.4B$314.4B$315.4B$316.4B$317.4B$318.4B$319.4B$320.4B$321.4B$322.4B$323.4B$324.4B$325.4B$326.4B$327.4B$328.4B$329.4B$330.4B$331.4B$332.4B$333.4B$313.B.B.B.B.B.B.B.B.B.B.5B$311.29B$311.5A25B.B$310.A4BA26B2A$312.3BA26B2A$310.A.2BA25B2.B$312.A.B.B.B.B.B.B.B.B.B.B.B.B2.2B$338.B2A$339.A.A$337.A.A.3A$337.2A5.A$343.2A! chris_c Posts: 873 Joined: June 28th, 2014, 7:15 am ### Re: The Hunting of the New Herschel Conduits In other news, I found a more promising lead for the other other transparent block for the B-heptomino (the one involving a bookend): x = 24, y = 31, rule = LifeHistory7.A$6.A.A$6.A.A$5.2A.A.2A$4.A4.A.A$5.3A.A$7.A.2A11$20.A.2A$20.2A.A4$2C$2C3$5.C$4.3C$3.2C.C$12.2A$12.2A!

The reaction takes care of the two other blocks, yet leaves the transparent block (and the main catalyst) untouched for a surprisingly long time. (The catalysis on the right does not have to be the one that I showed; most things around that general area would work.)
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1740
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: The Hunting of the New Herschel Conduits

chris_c wrote:I had a play around with Hersrch and came up with the following Orthogonoid design. The offset is 256 cells in 3*2^10 generations. It takes out one Snark in favour of L156 and Lx138 and doesn't require any extra Fx77's to make the timing nice. How do you think it would compare? (I've peeked at slmake but not very seriously)

Hm, 400 cells exactly -- that's certainly better than any of my efforts before today. Probably it's quite competitive. Luckily it's so easy to run slmake that we can just try every likely option we think of, and see which one happens to come out shortest.

That factor of three in your Orthogonoid timing isn't really there, of course -- in practice we'll just widen the spacing to whatever the next power of two is, and see if Golly can run away with the resulting spaceship.

I haven't looked in the database to see if slmake knows how to build edgy integrals, come to think of it. But really Orthogonoid405 might end up being just about as cheap as Orthogonoid400 anyway.

I suspect that Orthogonoid325 will squeak in ahead of Orthogonoid400, just because Snarks aren't really all that expensive, and distance _is_ kind of expensive -- the extra block moves implied by a 256-cell offset instead of a 128-cell one are going to add up. But I could easily be wrong. Will see how these two variants compile, maybe tomorrow, if no one beats me to it. Further bulletins as events warrant, on the Orthogonoid thread...

dvgrn
Moderator

Posts: 5343
Joined: May 17th, 2009, 11:00 pm

### Re: The Hunting of the New Herschel Conduits

Ouch, these Orthogonoids are actually too difficult for the existing version of slmake. The best it manages is chris_c's Orthogonoid400, which it reduces to the following:

x = 98833, y = 98819, rule = 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Can anyone find a way to slow-salvo construct the following constellation (in such a way that it doesn't interfere with the eater)?

x = 12, y = 7, rule = B3/S237bo$6bobo$6bobo$5b2ob3o$11bo$2o3b2ob3o$2o3b2obo!

If so, you can drop the resulting synthesis (as a 2-state .mc) straight into data/bespoke, update data/bespoke/filelist.txt accordingly, and slmake should be able to complete the construction.
What do you do with ill crystallographers? Take them to the mono-clinic!

calcyman

Posts: 1953
Joined: June 1st, 2009, 4:32 pm

### Re: The Hunting of the New Herschel Conduits

calcyman wrote:Ouch, these Orthogonoids are actually too difficult for the existing version of slmake. The best it manages is chris_c's Orthogonoid400, which it reduces to the following...

Hm, interesting. I suspect there's nothing actually wrong with Orthogonoid325 -- I posted it at its minimum offset of EDIT:68 cells, but it should really be built with 128-cell spacing to make Hashlife happiest:

x = 140, y = 177, rule = LifeHistory11.2A$4.2A5.2A$4.2A$38.A$38.3A$6.2A33.A$6.2A32.2A$2A$2A132.2A$57.2A4.2A69.2A$56.A2.A3.2A$57.2A$37.2A$37.2A5$62.2A$62.2A$27.2A$27.A$28.3A$30.A31.2A$62.A.A$64.A$9.2A53.2A$9.2A$92.A27.2A3.2A$92.3A25.2A3.2A$95.A$94.2A$132.2A$132.A$130.A.A$130.2A2$91.2A$91.2A$70.2A$70.2A2$20.2A105.2A$19.A.A105.A$9.2A9.A77.2A28.3A$8.A2.A34.2A50.A31.A$9.2A35.2A51.3A$72.2A27.A$72.A.A$74.A$20.A25.2A26.2A$20.3A23.2A$6.2A15.A36.2A52.2A$7.A14.2A36.A.A51.2A$4.3A55.A59.2A$4.A47.2A8.2A58.A$53.A69.3A$50.3A72.A$50.A$124.A$32.2A89.A.A$25.2A5.A.A88.A.A$25.2A7.A87.2A.3A$34.2A92.A$122.2A.3A$21.A100.2A.A$20.A.A.2A$20.A.A.A.A87.2A$17.2A.A.A.A.A2.A75.2A7.2A$17.A2.A2.2A.4A76.A$19.2A4.A80.A.A$25.A.A79.2A$26.2A3$127.2A$127.2A5$112.A$111.A.A$111.A.A$112.A$109.3A$109.A19$67.2A$68.A$66.A$66.5A14.2A$71.A13.A$68.3A12.A.A$67.A15.2A$67.4A$65.2A3.A3.2A$64.A2.3A4.2A$64.2A.A$67.A$67.2A3$75.2A$76.A$73.3A$73.A44$54.2A50.5A$51.3A.2A48.A4.A26.2A$51.5A54.A26.2A$52.3A50.A3.A$107.A$134.2A$134.A.A$132.A.A.3A$132.2A5.A$138.2A! -- Or possibly 96 cells, to make the recipe shorter and keep Hashlife reasonably content. Anyway, either of those puts the lower Snark safely out in the open where slmake should be able to handle it -- and the partial Orthogonoid400 recipe has already proven that the upper Snark is no problem. calcyman wrote:Can anyone find a way to slow-salvo construct the following constellation (in such a way that it doesn't interfere with the eater)? I won't have time until tonight to toss anything into data/bespoke, but I bet that altering the constellation like this will make it trivially slow-constructible, eater2 last: x = 24, y = 14, rule = B3/S2312bo$4bo6bobo5bo$4b3o4b2o5bobo$7bo10bobo$6b2o9b2ob3o$23bo$17b2ob3o$b2o14b2obo$obo$bo2$6b2o$6bobo$6bo! There must be lots of other ways to push that block into place from below, also. If nothing else, a 4-5sL seed constellation will allow this glider collision: x = 20, y = 12, rule = LifeHistoryA14.A$3A11.A.A$3.A10.A.A$2.2A9.2A.3A$19.A$13.2A.3A$7.3A3.2A.A$9.A$8.A$10.3A$10.A$11.A!

I'm a little surprised that there aren't any known block moves with enough clearance to bring that block in from out of the way, or that there aren't any eater2 recipes that can add the eater2 with the block in place. Maybe those recipes were all for variant eater2s, and didn't get collected for slmake's library?

dvgrn
Moderator

Posts: 5343
Joined: May 17th, 2009, 11:00 pm

### Re: The Hunting of the New Herschel Conduits

dvgrn wrote:
calcyman wrote:Ouch, these Orthogonoids are actually too difficult for the existing version of slmake. The best it manages is chris_c's Orthogonoid400, which it reduces to the following...

Hm, interesting. I suspect there's nothing actually wrong with Orthogonoid325 -- I posted it at its minimum offset of EDIT:68 cells, but it should really be built with 128-cell spacing to make Hashlife happiest:

Indeed it compiles smoothly with 128-cell spacing, and is cheaper than the partial result for Orthogonoid400:

x = 92623, y = 92675, rule = 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155bo126$91273b3o$91273bo$91274bo126$91402b2o$91401b2o$91403bo126$91520b2o$91519b2o$91521bo126$91655b2o$91654b2o$91656bo126$91772b3o$91772bo$91773bo126$91908b3o$91908bo$91909bo126$92041b2o$92040b2o$92042bo126$92168b2o$92167b2o$92169bo126$92295b3o$92295bo$92296bo126$92400b3o$92400bo$92401bo126$92529b3o$92529bo$92530bo126$92620b3o$92620bo$92621bo! I was pleasantly surprised that the tight Snark recipe runs without interference from the nearby eater, beehive, or boat. It's almost as though the recipe was designed with this use-case in mind... What do you do with ill crystallographers? Take them to the mono-clinic! calcyman Posts: 1953 Joined: June 1st, 2009, 4:32 pm ### Re: The Hunting of the New Herschel Conduits calcyman wrote:Indeed it compiles smoothly with 128-cell spacing, and is cheaper than the partial result for Orthogonoid400... I was pleasantly surprised that the tight Snark recipe runs without interference from the nearby eater, beehive, or boat. Yes, I really expected to have to come up with a custom recipe for the H-to-MWSS, with the Snark having to be that close to everything else. No guarantees about other orientations, I guess -- it might be interesting to compile an appropriate oscillator: x = 202, y = 229, rule = LifeHistory63.2A$56.2A5.2A$56.2A$90.A$90.3A$58.2A33.A$58.2A32.2A$52.2A$52.2A$109.2A4.2A$108.A2.A3.2A$109.2A$89.2A$89.2A$168.2A$161.2A4.A.A$161.2A4.A$166.2A$114.2A49.A$114.2A49.3A$79.2A87.A$79.A87.2A$80.3A$82.A31.2A$114.A.A$116.A$61.2A53.2A$61.2A3$138.A$138.3A$14.2A125.A$14.A5.2A118.2A$15.3A.A.A133.2A$17.A.A135.A$18.2A132.2A.A$151.A2.A$152.2A$15.2A105.2A13.2A$15.2A105.2A13.2A2$72.2A$71.A.A$61.2A9.A$34.A25.A2.A34.2A$34.3A24.2A35.2A$37.A86.2A6.A.2A$36.A.A85.A.A3.3A.2A$36.A.A87.A2.A$37.A34.A25.2A26.2A2.3A.2A$72.3A23.2A32.A.A$58.2A15.A36.2A18.A.A10.2A46.2A$59.A14.2A36.A.A18.A11.2A46.2A$56.3A55.A$52.2A2.A47.2A8.2A$52.2A51.A40.2A51.2A$102.3A42.A51.2A$102.A44.A.A45.2A$148.2A45.2A$32.2A50.2A70.A$31.A.A43.2A5.A.A68.A.A16.2A$31.A45.2A7.A68.A.A16.2A$30.2A7.2A45.2A68.A43.2A$39.2A159.2A$73.A$47.2A.A21.A.A.2A$47.2A.3A19.A.A.A.A$53.A15.2A.A.A.A.A2.A$47.2A.3A16.A2.A2.2A.4A50.2A$48.A.A20.2A4.A55.A$48.A.A26.A.A51.A26.A$49.A28.2A51.5A14.2A5.A.A$136.A13.A7.2A$50.A82.3A12.A.A$48.3A81.A15.2A$47.A84.4A$47.2A81.2A3.A3.2A$39.2A88.A2.3A4.2A$39.2A88.2A.A47.2A$132.A46.A.A$132.2A45.A$178.2A2$26.A113.2A$9.2A13.3A114.A$9.2A7.2A3.A31.A82.3A$18.2A3.2A28.3A82.A$52.A$52.2A134.2A$10.A177.2A7.2A$9.A.A185.A$9.A.A183.A.A$10.A184.2A3$55.2A$55.A.A$57.A92.2A3.2A$57.2A91.2A3.2A3$45.2A3.2A91.2A$45.2A3.2A92.A$144.A.A$145.2A3$5.2A184.A$4.A.A183.A.A$4.A185.A.A$3.2A7.2A177.A$12.2A134.2A$149.A$63.A82.3A28.2A3.2A$61.3A82.A31.A3.2A7.2A$60.A114.3A13.2A$60.2A113.A2$22.2A$22.A45.2A$20.A.A46.A$20.2A47.A.2A88.2A$61.2A4.3A2.A88.2A$61.2A3.A3.2A81.2A$66.4A84.A$52.2A15.A81.3A$51.A.A12.3A82.A$42.2A7.A13.A$42.A.A5.2A14.5A51.2A28.A$43.A26.A51.A.A26.A.A$68.A55.A4.2A20.A.A$68.2A50.4A.2A2.A2.A16.3A.2A$120.A2.A.A.A.A.2A15.A$123.A.A.A.A19.3A.2A$124.2A.A.A21.A.2A$128.A$2A159.2A$2A43.A68.2A45.2A7.2A$26.2A16.A.A68.A7.2A45.A$26.2A16.A.A68.A.A5.2A43.A.A$45.A70.2A50.2A$5.2A45.2A$5.2A45.A.A44.A$.2A51.A42.3A$.2A51.2A40.A51.2A$86.2A8.2A47.A2.2A$87.A55.3A$7.2A46.2A11.A18.A.A36.2A14.A$7.2A46.2A10.A.A18.2A36.A15.2A$67.A.A32.2A23.3A$66.2A.3A2.2A26.2A25.A34.A$72.A2.A87.A.A$66.2A.3A3.A.A85.A.A$66.2A.A6.2A86.A$102.2A35.2A24.3A$102.2A34.A2.A25.A$129.A9.2A$128.A.A$128.2A2$63.2A13.2A105.2A$63.2A13.2A105.2A$48.2A$47.A2.A$46.A.2A132.2A$46.A135.A.A$45.2A133.A.A.3A$60.2A118.2A5.A$60.A125.2A$61.3A$41.2A20.A$40.A.A$41.A$139.2A$84.2A53.2A$85.A$85.A.A$86.2A31.A$119.3A$33.2A87.A$33.A87.2A$34.3A49.2A$36.A49.2A$34.2A$34.A4.2A$32.A.A4.2A$32.2A$111.2A$111.2A$91.2A$85.2A3.A2.A$85.2A4.2A$148.2A$148.2A$108.2A32.2A$108.A33.2A$109.3A$111.A$144.2A$137.2A5.2A$137.2A25$96.3A$96.A$97.A!#C [[ STEP 9 ]] Anyway... I'll probably add the two Fx77s and recompile, possibly with an additional exact-timing self-destruct mechanism like the one in the Demonoid, mostly generated by GoL-destroy. Without the self-destruct junk, it's Orthogonoid375: x = 186, y = 177, rule = LifeHistory11.2A$4.2A5.2A$4.2A$38.A$38.3A$6.2A33.A$6.2A32.2A$2A$2A182.2A$57.2A4.2A119.2A$56.A2.A3.2A$57.2A$37.2A$37.2A5$62.2A$62.2A$27.2A$27.A54.2A$28.3A52.A25.A$30.A31.2A19.A.A21.3A$62.A.A19.2A20.A$64.A41.2A$9.2A53.2A$9.2A115.A$124.3A15.A27.2A3.2A$123.A18.3A25.2A3.2A$110.2A11.2A20.A$110.2A32.2A$182.2A$182.A$180.A.A$180.2A2$141.2A$141.2A$70.2A13.2A$70.2A13.2A11.2A$98.A$20.2A77.3A75.2A$19.A.A79.A75.A$9.2A9.A127.2A28.3A$8.A2.A34.2A83.2A15.A31.A$9.2A35.2A61.2A20.A17.3A$72.2A34.A.A21.3A16.A$72.A.A33.A25.A$74.A32.2A$20.A25.2A26.2A$20.3A23.2A$6.2A15.A36.2A102.2A$7.A14.2A36.A.A101.2A$4.3A55.A109.2A$4.A47.2A8.2A108.A$53.A119.3A$50.3A122.A$50.A$174.A$32.2A139.A.A$25.2A5.A.A138.A.A$25.2A7.A137.2A.3A$34.2A142.A$172.2A.3A$21.A150.2A.A$20.A.A.2A$20.A.A.A.A137.2A$17.2A.A.A.A.A2.A125.2A7.2A$17.A2.A2.2A.4A126.A$19.2A4.A130.A.A$25.A.A129.2A$26.2A3$177.2A$177.2A5$162.A$161.A.A$161.A.A$162.A$159.3A$159.A44$92.2A$93.A$91.A$91.5A14.2A$96.A13.A$93.3A12.A.A$92.A15.2A$92.4A$90.2A3.A3.2A$89.A2.3A4.2A$89.2A.A$92.A$92.2A3$100.2A$101.A$98.3A$98.A19$54.2A50.5A$51.3A.2A48.A4.A26.2A$51.5A54.A26.2A$52.3A50.A3.A$107.A$134.2A$134.A.A$132.A.A.3A$132.2A5.A$138.2A! For the simple short wide version of the spaceship, there's actually another reasonable way to do the destruction now. We could add another Snark on the construction lane, and start out by using the bent construction arm to shoot down the parent constructor: x = 220, y = 438, rule = LifeHistory178.2A$178.A.A$180.A4.2A$176.4A.2A2.A2.A$176.A2.A.A.A.A.2A$11.2A166.A.A.A.A$4.2A5.2A167.2A.A.A$4.2A178.A$38.A$38.3A129.2A$6.2A33.A129.A7.2A$6.2A32.2A129.A.A5.2A$2A170.2A$2A$57.2A4.2A$56.A2.A3.2A$57.2A$37.2A$37.2A$182.2A$182.A$183.3A$185.A$62.2A$62.2A$27.2A$27.A54.2A$28.3A52.A25.A$30.A31.2A19.A.A21.3A$62.A.A19.2A20.A$64.A41.2A$9.2A53.2A$9.2A115.A$124.3A15.A27.2A3.2A$123.A18.3A25.2A3.2A$110.2A11.2A20.A$110.2A32.2A$182.2A$182.A$180.A.A$180.2A2$141.2A$141.2A$70.2A13.2A$70.2A13.2A11.2A$98.A$20.2A77.3A75.2A$19.A.A79.A75.A$9.2A9.A127.2A28.3A$8.A2.A34.2A83.2A15.A31.A37.2A$9.2A35.2A61.2A20.A17.3A66.2A$72.2A34.A.A21.3A16.A$72.A.A33.A25.A$74.A32.2A$20.A25.2A26.2A$20.3A23.2A$6.2A15.A36.2A102.2A$7.A14.2A36.A.A101.2A$4.3A55.A109.2A$4.A47.2A8.2A108.A$53.A119.3A$50.3A122.A$50.A$174.A$32.2A139.A.A$25.2A5.A.A138.A.A$25.2A7.A137.2A.3A$34.2A142.A$172.2A.3A$21.A150.2A.A$20.A.A.2A$20.A.A.A.A137.2A$17.2A.A.A.A.A2.A125.2A7.2A$17.A2.A2.2A.4A126.A$19.2A4.A130.A.A$25.A.A129.2A$26.2A3$177.2A$177.2A5$162.A$161.A.A$161.A.A$162.A$159.3A$159.A44$92.2A$93.A$91.A$91.5A14.2A$96.A13.A$93.3A12.A.A$92.A15.2A$92.4A$90.2A3.A3.2A$89.A2.3A4.2A$89.2A.A$92.A$92.2A3$100.2A$101.A$98.3A$98.A19$54.2C50.5C$51.3C.2C48.C4.C26.2A$51.5C54.C26.2A$52.3C50.C3.C$107.C$134.2A$134.A.A$132.A.A.3A$132.2A5.A$138.2A80$11.2D$4.2D5.2D$4.2D$38.D$38.3D$6.2D33.D$6.2D32.2D$2D$2D$57.2D4.2D$56.D2.D3.2D$57.2D$37.2D$37.2D5$62.2D$62.2D$27.2D$27.D54.2D$28.3D52.D25.D$30.D31.2D19.D.D21.3D$62.D.D19.2D20.D$64.D41.2D$9.2D53.2D$9.2D115.D$124.3D15.D27.2D3.2D$123.D18.3D25.2D3.2D$110.2D11.2D20.D$110.2D32.2D$182.2D$182.D$180.D.D$180.2D2$141.2D$141.2D$70.2D13.2D$70.2D13.2D11.2D$98.D$20.2D77.3D75.2D$19.D.D79.D75.D$9.2D9.D127.2D28.3D$8.D2.D34.2D83.2D15.D31.D$9.2D35.2D61.2D20.D17.3D$72.2D34.D.D21.3D16.D$72.D.D33.D25.D$74.D32.2D$20.D25.2D26.2D$20.3D23.2D$6.2D15.D36.2D102.2D$7.D14.2D36.D.D101.2D$4.3D55.D109.2D$4.D47.2D8.2D108.D$53.D119.3D$50.3D122.D$50.D$174.D$32.2D139.D.D$25.2D5.D.D138.D.D$25.2D7.D137.2D.3D$34.2D142.D$172.2D.3D$21.D150.2D.D$20.D.D.2D$20.D.D.D.D137.2D$17.2D.D.D.D.D2.D125.2D7.2D$17.D2.D2.2D.4D126.D$19.2D4.D130.D.D$25.D.D129.2D$26.2D3$177.2D$177.2D5$162.D$161.D.D$161.D.D$162.D$159.3D$159.D44$92.2D$93.D$91.D$91.5D14.2D$96.D13.D$93.3D12.D.D$92.D15.2D$92.4D$90.2D3.D3.2D$89.D2.3D4.2D$89.2D.D$92.D$92.2D3$100.2D$101.D$98.3D$98.D20$137.2D$137.2D3$134.2D$134.D.D$132.D.D.3D$132.2D5.D$138.2D!

Unfortunately, with the extra Fx77s pushing the H-to-MWSS farther west, some of the circuitry is around the corner from the new elbow. That's just a minor annoyance, though -- it could be cleaned up by pushing the elbow a little farther and doing the cleanup with *WSSes, for example.

Then it's just a matter of finding any elbow-destroying return glider recipe that breaks the Snark in a way that allows a single-channel recipe to clean up the remaining debris and make a new elbow.

It will be possible to pack the Orthogonoid a little smaller if the parent is cleaned up at the end of the recipe instead of the beginning -- which just means using 0-degree recipes to build that Snark after the child construction is done. The destruction elbow can be just sitting there waiting for for the Snark to be built to point at it.

However, I'm not sure I really like either of these ideas, because they create a lot more signal crossings for a rectangular Orthogonoid. Once the basic model is done I'd like to try stacking a thousand constructor arms on top of each other, feed in gliders a pair at a time, and see if I can get the whole stack constructing great^998 grandchildren simultaneously. For that design it's a lot better to have an autonomous exact-timing destruct signal following along behind the recipe.

dvgrn
Moderator

Posts: 5343
Joined: May 17th, 2009, 11:00 pm

### Re: The Hunting of the New Herschel Conduits

dvgrn wrote:Yes, I really expected to have to come up with a custom recipe the H-to-MWSS, with the Snark having to be that close to everything else. No guarantees about other orientations, I guess -- it might be interesting to compile an appropriate oscillator:

Coincidentally, I'm already compiling the same oscillator (except with longer spacings between the reflectors, so a larger period). So far, slmake has optimised it down from 889 to 269 cells (including 3 bespoke objects left to construct, out of the original 12). It suffers from apgmeraitis of not having a method for saving partial progress, so the only option is to wait for it to complete (by either reaching a final block or surrendering at the maximum bailout of 4096).
What do you do with ill crystallographers? Take them to the mono-clinic!

calcyman

Posts: 1953
Joined: June 1st, 2009, 4:32 pm

### Re: The Hunting of the New Herschel Conduits

A bit of a ridiculous new semi-compound H-to-H:
x = 61, y = 74, rule = LifeHistory11.B2.2B2.2B$10.11BD$6.B2.12BDBD$5.2CB.B2C9B3DB$5.2C3B2C11BD$6.B.14B$8.7B.4B$7.7B.4B$6.12B$6.11B$3.3B.9B$3.12B$2.2C11B.2B$2.2C13B2C$3.B.10B.B2C$5.10B2.B$6.9B$6.10B$6.11B$7.11B$6.13B$5.15B$2.19B$.2C19B$.2C15B.4B$2.17B.4B$6.19B$7.19B$7.20B$8.20B$5.24B$5.20B.4B$4.20B3.4B$3.22B3.4B$3.24B2.4B11.C$4.30B2.B5.3C$2.10B.25B3.C$2.2C4.2B2.7B.13B2D4B2.2C$3.C4.B4.B.3B2.12B2D9B$3C4.2C3.2C2B4.13B2D6B$C6.C4.C2.CB4.13BD7B11.2C$5.C.C5.3C12.4B.11B9.C$5.2C22.4B3.10B4.BC.C$12.C.2C14.4B3.12B.B2C$12.2C.C5.C9.4B.15B$21.3C8.19B4.2C$24.C8.17B5.C$23.2C9.14B4.BC.C$23.5B6.9B.7B.B2C$25.5B.2B2.8B2.4B2C2B$24.19B5.BC.CB$23.5B.18B3.2C3.2C$23.24B9.C$23.26B7.C.2C$22.27B5.3C.C$18.CB.29B2.BCB3.C$17.C.C31B.B5C.2C$17.2C.33B.B2.C.C$21.32B2CBC3.C$21.31B.CB2.3C$18.2B.30B3.2C.C$17.2C31B5.C$17.2C29B7.C.C$18.2B.6B4.16B9.2C$23.B7.12B.B$31.12B$32.11B$30.4B.4B3CB$30.2C4.4BC2B$31.C4.2B3C2B$28.3C6.6B$28.C8.7B$39.B.4B$42.4B! EDIT: Possible but unlikely L-to-P: x = 16, y = 14, rule = LifeHistory11.2A$4.2A4.A.A$3.B2AB3.A$3.3B3.2A.A$4.B3.AB2.3A$.7B2ABA3.A$.3B2C2B.B2.A.A$.2B2CB.B5A.2A$2B2C4BAB3.A$6B3.3A.A$.6B4.A.2A$.5B5.A$2.D2BD6.3A$2.3D9.A!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

A for awesome

Posts: 1731
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: The Hunting of the New Herschel Conduits

F131(98):
x = 45, y = 35, rule = LifeHistory24.CB$23.C.CB.B$7.2C13.B.2C2B2C$8.C11.6B.B2C$8.C.CB7.6B3.B$9.2CB.3B3.7B$11.16B$11.16B$12.15B$11.16B$9.18B$7.19B$7.2BE16B$6.3BEBE4B.9B$7.2B3E4B.10B$6.5BE4B.11B.2B3.2B2.2B$5.22B.13BD$4.4B6.27BDBD$3.4B7.16B2C9B3DB$2.4B9.15B2C11BD$.4B10.11B.15B$4B12.10B3.2B.3B.B$3B14.7B$2B15.7B$B17.5B11.2A$19.3B13.A$20.4B8.3A$19.2C.2C8.A$18.CBCBCBC$16.3C.B.C.C2.C$15.C4.C.C.4C$15.2C.2C.2C$19.C3.3C$19.C.2C2.C$20.C.C!

p96 also works, but p97 doesn't.
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
AbhpzTa

Posts: 457
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

### Re: The Hunting of the New Herschel Conduits

AbhpzTa wrote:F131(98):
x = 45, y = 35, rule = LifeHistory24.CB$23.C.CB.B$7.2C13.B.2C2B2C$8.C11.6B.B2C$8.C.CB7.6B3.B$9.2CB.3B3.7B$11.16B$11.16B$12.15B$11.16B$9.18B$7.19B$7.2BE16B$6.3BEBE4B.9B$7.2B3E4B.10B$6.5BE4B.11B.2B3.2B2.2B$5.22B.13BD$4.4B6.27BDBD$3.4B7.16B2C9B3DB$2.4B9.15B2C11BD$.4B10.11B.15B$4B12.10B3.2B.3B.B$3B14.7B$2B15.7B$B17.5B11.2A$19.3B13.A$20.4B8.3A$19.2C.2C8.A$18.CBCBCBC$16.3C.B.C.C2.C$15.C4.C.C.4C$15.2C.2C.2C$19.C3.3C$19.C.2C2.C$20.C.C!

Very nice -- that's definitely one for the H-to-H stamp collection.

It also turns A for awesome's unsure discovery into a sure discovery, faster than I expected.

This is another of those odd cases where the transparent block is catalyzing something other than the usual B-heptomino, or dove (e.g., in the Fx176). So no snake or eater is needed to support the extraction of the Herschel signal. Without the block there, you get a clean traffic light, though it's in the middle of the reaction envelope so it might not be too useful. How did you find this?

dvgrn
Moderator

Posts: 5343
Joined: May 17th, 2009, 11:00 pm

### Re: The Hunting of the New Herschel Conduits

AbhpzTa wrote:F131(98):
...

p96 also works, but p97 doesn't.

Wow! This is a very nice new component, although non-spartan, very fast and usable at under 100 ticks!

This, along with a few other new conduits, may warrant an update to the
H-to-H conduit collection, although I don't think there are quite enough conduits (2 or 3?) to warrant a complete update.

gmc_nxtman

Posts: 1147
Joined: May 26th, 2015, 7:20 pm

### Re: The Hunting of the New Herschel Conduits

dvgrn wrote:
AbhpzTa wrote:F131(98):
x = 45, y = 35, rule = LifeHistory24.CB$23.C.CB.B$7.2C13.B.2C2B2C$8.C11.6B.B2C$8.C.CB7.6B3.B$9.2CB.3B3.7B$11.16B$11.16B$12.15B$11.16B$9.18B$7.19B$7.2BE16B$6.3BEBE4B.9B$7.2B3E4B.10B$6.5BE4B.11B.2B3.2B2.2B$5.22B.13BD$4.4B6.27BDBD$3.4B7.16B2C9B3DB$2.4B9.15B2C11BD$.4B10.11B.15B$4B12.10B3.2B.3B.B$3B14.7B$2B15.7B$B17.5B11.2A$19.3B13.A$20.4B8.3A$19.2C.2C8.A$18.CBCBCBC$16.3C.B.C.C2.C$15.C4.C.C.4C$15.2C.2C.2C$19.C3.3C$19.C.2C2.C$20.C.C!

Very nice -- that's definitely one for the H-to-H stamp collection.

It also turns A for awesome's unsure discovery into a sure discovery, faster than I expected.

This is another of those odd cases where the transparent block is catalyzing something other than the usual B-heptomino, or dove (e.g., in the Fx176). So no snake or eater is needed to support the extraction of the Herschel signal. Without the block there, you get a clean traffic light, though it's in the middle of the reaction envelope so it might not be too useful. How did you find this?

See Silver's reflector.
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
AbhpzTa

Posts: 457
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Location: Ishikawa Prefecture, Japan

### Re: The Hunting of the New Herschel Conduits

AbhpzTa wrote:
dvgrn wrote:This is another of those odd cases where the transparent block is catalyzing something other than the usual B-heptomino, or dove (e.g., in the Fx176). So no snake or eater is needed to support the extraction of the Herschel signal. Without the block there, you get a clean traffic light, though it's in the middle of the reaction envelope so it might not be too useful. How did you find this?

See Silver's reflector.

Wow, that's some really good pattern recognition.

gmc_nxtman

Posts: 1147
Joined: May 26th, 2015, 7:20 pm

### Re: The Hunting of the New Herschel Conduits

AbhpzTa wrote:F131(98):

Very nice, and attaches to syringe too, if this non-standard version is used:

x = 64, y = 35, rule = LifeHistory2.A41.A$A.A40.A.A$.2A24.2A15.2A2.2A$28.A19.2A$28.A.A$18.A10.2A$16.3A$15.A$15.2A$2A$.A$.A.2A$2.A2.A23.D$3.2A24.D.D$18.2A9.3D$18.2A11.D$61.D$61.D.D$50.2A9.3D$50.2A11.D$26.C3.2C$25.C.C3.C$21.2C.C.C3.C$21.2C.C4.C$25.5C.C22.2A$20.C.3C5.2C23.A$20.2C4.3C23.3A$10.2A11.3C.C.3C7.2A.2A8.A$10.2A8.2C.C7.C6.A.A.A.A$20.C.C13.3A3.A.A2.A$35.A4.A.A.4A$35.2A.2A.2A$39.A3.3A$39.A.2A2.A$40.A.A!
simeks

Posts: 369
Joined: March 11th, 2015, 12:03 pm
Location: Sweden

### Re: The Hunting of the New Herschel Conduits

simeks wrote:Very nice, and attaches to syringe too, if this non-standard version is used...

Now that you mention it, that syringe catalyst should probably find its way into the Elementary Conduits Collection also. There's a variant with a slightly lower population and one more half diagonal clearance to the southeast (not needed here):

x = 64, y = 35, rule = LifeHistory2.A41.A$A.A40.A.A$.2A24.2A15.2A2.2A$28.A19.2A$28.A.A$18.A10.2A$16.3A$15.A$15.2A$2A$.A$.A.2A$2.A2.A23.D$3.2A24.D.D$18.2A9.3D$18.2A11.D$61.D$61.D.D$50.2A9.3D$50.2A11.D$26.C3.2C$25.C.C3.C$21.2C.C.C3.C$21.2C.C4.C$25.5C.C22.2A$20.C.3C5.2C23.A$20.2C4.3C23.3A$10.2A11.3C.C11.2A.2A8.A$10.2A8.2C.C5.C8.A.A.A.A$20.C.C5.2C6.3A3.A.A2.A$35.A4.A.A.4A$35.2A.2A.2A$39.A3.3A$39.A.2A2.A$40.A.A!

dvgrn
Moderator

Posts: 5343
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### Re: The Hunting of the New Herschel Conduits

dvgrn wrote:There's a variant with a slightly lower population and one more half diagonal clearance to the southeast

Yes, and if we're desperate for southeast clearance, we could even use this version

x = 64, y = 35, rule = LifeHistory2.A41.A$A.A40.A.A$.2A24.2A15.2A2.2A$28.A19.2A$28.A.A$18.A10.2A$16.3A$15.A$15.2A$2A$.A$.A.2A$2.A2.A23.D$3.2A24.D.D$18.2A9.3D$18.2A11.D$61.D$61.D.D$50.2A9.3D$50.2A11.D$26.C3.2C$25.C.C3.C$21.2C.C.C3.C$21.2C.C4.C$25.5C.C22.2A$20.C.3C5.C.C22.A$20.2C4.3C2.C20.3A$10.2A11.3C.C.2C8.2A.2A8.A$10.2A8.2C.C14.A.A.A.A$20.C.C13.3A3.A.A2.A$35.A4.A.A.4A$35.2A.2A.2A$39.A3.3A$39.A.2A2.A$40.A.A!
simeks

Posts: 369
Joined: March 11th, 2015, 12:03 pm
Location: Sweden

### Re: The Hunting of the New Herschel Conduits

simeks wrote:
dvgrn wrote:There's a variant with a slightly lower population and one more half diagonal clearance to the southeast

Yes, and if we're desperate for southeast clearance, we could even use this version

another catalyst

Not quite desperate enough:
x = 13, y = 51, rule = LifeHistory6.C3.2C$5.C.C3.C$.2C.C.C3.C$.2C.C4.C$5.5C.C$C.3C5.2C$2C4.3C$3.3C.C$2C.C5.C$C.C5.2C11$6.C3.2C$5.C.C3.C$.2C.C.C3.C$.2C.C4.C$5.5C.C$C.3C5.C.C$2C4.3C2.C$3.3C.C.2C$2C.C$C.C11$6.C3.2C$5.C.C3.C$.2C.C.C3.C$.2C.C4.C$5.5C.C$C.3C5.2C$2C3.C.2C$3.C.C.C$3C.C2.C$C3.C.C$4.2C!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: The Hunting of the New Herschel Conduits

simeks wrote:Yes, and if we're desperate for southeast clearance, we could even use this version

...

x = 56, y = 97, rule = LifeHistory54.A$45.2A5.3A$44.B2AB3.A$44.3B4.2A$37.2B2.2B2.B2.5B$35.D15B$33.DBD14B2A$32.B3D9B2A3B2A$33.D11B2A2B.B$35.14B$37.8B.B$37.12B$39.12B$38.13B$37.15B$27.2A8.15B$28.A8.15B$16.2A10.A.AB4.15B$6.AB7.A.A11.2AB.18B$6.B2A6.A15.19B$6.2A2B4.2A15.21B$7.4B2.2B17.20B$2A6.8B15.21B$.A7.7B13.22B$.A.2A5.7B2.B2.2B2.22B.4B$2.A2.A4.19BD17B4.2A$3.2AB3.20BDBD4B.10B4.A$4.14B2A9B3D4B2.8B6.3A$5.13B2A11BD4B.8B9.A$6.29B3.7B$6.17B.4B10.7B$7.15B3.2B12.6B$7.15B3.3B11.7B$8.13B5.A2B.2A7.6B$10.13B2.A.A2B.A6.6B$9.8B4.2A.A.AB2.A7.6B$9.6B6.2ABA4.A7.8B$9.5B8.B2.5A.A6.6B8.B$9.B.B8.A.3A5.2A6.7B2.B2.5B$10.3B7.2A4.3A7.20B$9.B2AB10.3A.A6.B.2B2A11BDB2AB$10.2A8.2A.A5.A3.2A3B2A9B3DB2AB$20.A.A5.2A3.2A14BDBD4B$34.15BD6B$32.5B2.B2.2B2.10B$32.2A4.3B7.4B2.B$33.A3.B2AB$30.3A5.2A$30.A11$47.A$45.3A$44.A$44.2A$27.2A12.5B2.2A$28.A11.4B3.B2AB$16.2A10.A.AB7.6B3.2B$6.AB7.A.A11.2AB.3B3.7B3.2B$6.B2A6.A15.16B.2BAB$6.2A2B4.2A15.18BA.A$7.4B2.2B17.17B.A$2A6.8B15.16B4.3A$.A7.7B13.17B7.A$.A.2A5.7B2.B2.2B2.20B$2.A2.A4.19BD15B$3.2AB3.20BDBD4B.9B$4.14B2A9B3D4B2.9B3.B$5.13B2A11BD4B2.10B.B2A$6.29B.14B2A$6.17B.4B7.16B$7.15B3.2B8.16B$7.15B3.3B6.15B$8.13B5.A2B.2A3.10B$10.13B2.A.A2B.A4.8B$9.8B4.2A.A.AB2.A7.7B$9.6B6.2ABA4.A7.9B$9.5B8.B2.5A.A6.9B$9.B.B8.A.3A5.2A6.10B$10.3B7.2A4.3A7.14B$9.B2AB10.3A.A6.B.2B2A11BD$10.2A8.2A.A5.A3.2A3B2A9B3DB$20.A.A5.2A3.2A14BDBD$34.15BD$32.5B2.B2.2B2.2B$32.2A4.3B$33.A3.B2AB$30.3A5.2A$30.A!

gmc_nxtman

Posts: 1147
Joined: May 26th, 2015, 7:20 pm

### Re: The Hunting of the New Herschel Conduits

gmc_nxtman wrote:Were [these syringe+Fx119/Herschel splitter] connections already known?

There's some prior art in the gun thread, but that was a year and change before AbhpzTa's Herschel splitter showed up. Still I think they probably count as more-or-less-known.

I hadn't noticed, or had forgotten, that the Herschel-splitter attachment gets rid of the sometimes-troublesome third Fx119 glider output. I don't think that solves any old problems, since there are other known ways of getting rid of that glider (see link above, especially the top left corner) -- but these are all good things to be reminded of anyway.

dvgrn
Moderator

Posts: 5343
Joined: May 17th, 2009, 11:00 pm

### Re: The Hunting of the New Herschel Conduits

Right, I was assuming too much... Here's one more version:

x = 16, y = 70, rule = LifeHistory9.A3.2A$8.A.A3.A$4.2A.A.A3.A$4.2A.A4.A$8.5A.A$3.A.3A5.2A$3.2A4.3A$6.3A.A$3.2A.A5.A$3.A.A5.2A11$9.A3.2A$8.A.A3.A$4.2A.A.A3.A$4.2A.A4.A$8.5A.A$3.A.3A5.A.A$3.2A4.3A2.A$6.3A.A.2A$3.2A.A$3.A.A11$9.A3.2A$8.A.A3.A$4.2A.A.A3.A$4.2A.A4.A$8.5A.A$3.A.3A5.2A$3.2A3.A.2A$6.A.A.A$3.3A.A2.A$3.A3.A.A$7.2A10$9.C3.2C$8.C.C3.C$4.2C.C.C3.C$4.2C.C4.C$8.5C.C$3.C.3C5.2C$3.2C3.C.2C$.2C3.C.C.C$C2.C.2C.C.C$.2C6.C!

EDIT: Fixed broken pattern
Last edited by simeks on June 13th, 2017, 7:02 pm, edited 1 time in total.
simeks

Posts: 369
Joined: March 11th, 2015, 12:03 pm
Location: Sweden

### Re: The Hunting of the New Herschel Conduits

AbhpzTa wrote:F131(98):
x = 45, y = 35, rule = LifeHistory24.CB$23.C.CB.B$7.2C13.B.2C2B2C$8.C11.6B.B2C$8.C.CB7.6B3.B$9.2CB.3B3.7B$11.16B$11.16B$12.15B$11.16B$9.18B$7.19B$7.2BE16B$6.3BEBE4B.9B$7.2B3E4B.10B$6.5BE4B.11B.2B3.2B2.2B$5.22B.13BD$4.4B6.27BDBD$3.4B7.16B2C9B3DB$2.4B9.15B2C11BD$.4B10.11B.15B$4B12.10B3.2B.3B.B$3B14.7B$2B15.7B$B17.5B11.2A$19.3B13.A$20.4B8.3A$19.2C.2C8.A$18.CBCBCBC$16.3C.B.C.C2.C$15.C4.C.C.4C$15.2C.2C.2C$19.C3.3C$19.C.2C2.C$20.C.C!

p96 also works, but p97 doesn't.

This should probably be viewed as an H->R->H conduit. The population of the large catalyst can be reduced slightly:
x = 37, y = 35, rule = LifeHistory17.A$16.A.A$2A15.2A2.2A$.A19.2A$.A.A$2.2A7$2.E$2.E.E$2.3E$4.E$34.D$34.D.D$23.2A9.3D$23.2A11.D3$13.D$12.3D$14.D12.2A$28.A$25.3A$12.2A.2A8.A$11.A.A.A.A$9.3A3.A.A$8.A4.A.A.3A$9.3A.2A.A3.A$11.A4.A2.2A$13.3A$12.2A!

Edit: With regard to the syringe catalyst, I would use this unless otherwise warranted:
x = 33, y = 29, rule = LifeHistory2.E$E.E$.2E3$18.A$16.3A$15.A$15.2A$2A$.A$.A.2A$2.A2.A23.D$3.2A24.D.D$18.2A9.3D$18.2A11.D5$26.A3.2A$25.A.A3.A$21.2A.A.A3.A$21.2A.A4.A$25.5A.A$17.2A.A.2A.A4.A.A$17.A.2A.A2.A.2A2.A$10.2A12.2A.A.2A$10.2A!
-Matthias Merzenich
Sokwe
Moderator

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### Re: The Hunting of the New Herschel Conduits

AbhpzTa wrote:F131(98)

There is also this variant:

x = 37, y = 44, rule = LifeHistory14.2A13.B$15.A12.2B$14.A12.3B$14.2A2.2A6.4B$17.A.A5.4B$12.4A.A6.4B$12.A2.A.2A4.4B$15.5B2.4B$16.9B$16.8B$15.8B$4.2A9.7B$5.A10.6B4.2A$5.A.AB7.6B4.A$6.2AB.3B3.6B.BA.A$8.14B.B2A$8.16B$9.15B$8.16B$6.18B$4.19B$4.2BA16B$3.3BABA4B.9B$4.2B3A4B.10B$3.5BA4B.11B.2B3.2B2.2B$2.22B.12B$.4B6.26B$4B7.16B2C8B$3B9.15B2C8B$2B10.11B.13B$B12.10B3.2B.3B.B$14.7B$14.7B$15.5B11.2A$16.3B13.A$17.4B8.3A$16.2C.2C8.A$15.CBCBCBC$13.3C.B.C.C2.C$12.C4.C.C.4C$12.2C.2C.2C$16.C3.3C$16.C.2C2.C\$17.C.C!

I can't think of any faster ways of getting a NE glider and a forward Herschel. Nice find!
chris_c

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