User:GUYTU6J/OCA:Glimmering Garden/Appendix 1: Miscellaneous construction practice

This page documents miscellaneous constructions in the isotropic non-totalistic rule Glimmering Garden. Unless otherwise noted, they are built by user GUYTU6J. When downloading a pattern, hit Ctrl+C in the corresponding LifeViewer to get the rle.

Collection of T-to-B converters as of September 19, 2021, sorted by repeat time: (note: time differences for more than one outputs are not marked)

x=507, y = 285, rule = B3-jknr4ity5ijk6i8/S23-a4city6c7cHistory D3.D3.D51.D3.D3.D.D.D37.D3.D3.D3.D37.D3.D3.D.D.D27.D.D.D3.D41.D.D.D3. D.D.D47.D.D.D3.D.D.D27.D.D.D3.D31.D.D.D3.D.D.D27.D.D.D3.D.D.D37.D.D.D 3.D.D.D2$D3.D3.D51.D3.D7.D37.D3.D3.D3.D37.D3.D7.D27.D7.D41.D11.D47.D 7.D3.D27.D7.D31.D11.D27.D7.D41.D7.D3.D2$D.D.D3.D51.D.D.D3.D.D.D37.D.D .D3.D.D.D37.D.D.D7.D27.D.D.D3.D41.D.D.D3.D.D.D47.D.D.D3.D3.D27.D.D.D 3.D31.D.D.D3.D.D.D27.D.D.D3.D.D.D37.D.D.D3.D.D.D2$4.D3.D55.D7.D41.D7. D41.D7.D31.D3.D45.D3.D51.D3.D3.D3.D27.D3.D3.D31.D3.D3.D31.D3.D3.D3.D 37.D3.D3.D3.D2$4.D3.D55.D3.D.D.D41.D7.D41.D7.D27.D.D.D3.D41.D.D.D3.D. D.D47.D.D.D3.D.D.D27.D.D.D3.D31.D.D.D3.D.D.D27.D.D.D3.D.D.D37.D.D.D3. D.D.D3$449.2A$447.BA.A$80.2A37.2A140.2A184.2BA45.A4.2B$81.A37.A94.2B. 2B4.A37.A183.11B38.A.A2.3B$78.3A39.3A47.A39.11B.A.C37.3A66.A78.A29.4B .14B36.A.5B$15.2B61.A43.A46.A.A37.BA11B.C.D38.A65.A.A76.A.A27.BA3B. 15B32.3B2.6B$14.3B4.A53.3B45.3B44.A36.2BABA11B.D40.3B63.A4.A30.3B4.A 35.A4.A21.2BABA17B33.3B2.6B$12.7B.A.A51.5B3.2A37.6B2.A41.3B3.A28.3B2A 12B40.6B2.A63.A.2A26.7B.A.2A37.A.2A18.3B2A17B33.4B2.6B.A$11.9B.A49.2B .7BA.A36.7B.A.A39.5B.A.2A27.16B39.7B.A.A52.3B.3B2.B.A.A25.9B.A.A27.3B .3B2.B.A.A19.19B35.4B2.5B.A.2A$2.BA16B2A40.BA17B2A.A27.BA14B.A32.BA 12B.A.A22.BA9B.8B30.BA16B.A40.BA20B.2A15.BA18B.2A17.BA19B.2A16.BA9B. 13B25.BA19B.A.A$AB2A16B.A.A36.AB2A18B.A26.AB2A14B2A30.AB2A12B2A22.AB 2A10B.5B30.AB2A16B2A38.AB2A21B.A13.AB2A19B.A15.AB2A20B.A14.AB2A10B. 12B23.AB2A19B2A$2.BA15B.A.2A38.BA16B3.2A27.BA14B.A.A30.BA12B.A24.BA 11B.4B32.BA16B.A.A38.BA20B.A.A14.BA18B.A.A16.BA19B.A.A15.BA11B.10B.2B 3.B19.BA19B.A$10.10B.A52.5B43.5B.A.2A37.6B.A.A28.9B.2B45.5B.A.2A49. 13B2A21.12B3.A26.14B2A20.9B.8B.4B.3A27.11B.A.A$11.9B.A52.6B43.5B.A40. 6B.A28.11B48.5B.A50.13B3.A19.13B29.14B3.A18.25BAB2A26.12B.A$11.A6B2.A .A48.A2.7B41.6B42.6B30.11B47.6B52.13B2.2A20.11B.A27.15B2.2A18.28B26. 13B$10.A.A7B.A47.2A.A.8B39.7B.A41.5B31.9B44.A3.7B49.A.13B25.7B3.A.A 26.15B23.28B24.13B.A$10.2A3.6B48.A.A.9B39.7BA.2A39.4B33.7B44.A.A.8B2. 2A44.A.A2.11B26.7B3.A28.14B24.27B25.10B2.A.A$14.7B50.2A.7B42.5B.A.A 38.2ABA34.6B2A44.A.A9BA.A45.A.11B27.A2.6B30.2ABA9B26.26B26.9B.2B.A$ 14.7B50.A.9B39.7B2A41.3A35.6BAB43.A.AB.8BA.A46.11B26.A.A.7B30.3A.4B2. B28.24B28.12B$13.6B51.A.A2.6B39.8B.A42.B37.4B2A43.A.A.9B2.A47.8B.B28. A.8B31.B3.3B.A30.22B30.11B$12.7B52.A.6B41.8BA.A80.2B.A45.A2.8B52.2B. 5B31.7B39.A.2A28.20B32.11B.A$12.8B.A49.A.7B41.7B.A133.9B53.6B31.6B41. A.A29.11B5.2B33.10B.A.A$14.6BA.A47.A.A.6B39.2A6B2.2A134.8B49.A2.6B31. 6B75.9B41.6B5.A$15.4B2.A49.A.7B2.A35.BA6B138.10B47.A.A.5B32.4B77.9B 43.5B$10.A3.5B54.8BA.A35.2A6B135.A.11B47.A.7B2.A28.5B76.3B2.4B44.4B$ 9.A.A2.5B54.7B2.A37.A.5B.A131.2A.A.10B49.8BA.A28.4B79.A.3B44.2ABA$10. A.8B54.6B43.2B2.A.A130.A.A.10B50.7B2.A28.2ABA79.A.A48.3A$12.8B54.5B 49.A133.2A11B50.6B32.3A80.A50.B$12.7B56.4B183.A.10B51.5B34.B$13.6B55. 2A3B182.A.A.8B53.4B$13.5B55.BA4B132.A50.A.8B53.2A3B$14.5B55.2A3B131.A .A51.7B53.BA4B$14.6B55.A2B133.A5.2B43.8B55.2A3B$14.6B56.B135.8B40.11B 55.A2B$15.4B191.12B37.13B55.B$14.2ABA191.BA12B37.12B$15.3A189.2BABA 12B39.8B$16.B189.3B2A14B39.7B$207.18B39.6B.2B$202.BA9B.10B38.A.9B2A$ 200.AB2A10B.6BAB2A36.A.A.9BAB$202.BA11B.4B.3A38.A2.8B2A$87.2A35.2A81. 9B.2B3.B42.4B.2B.A221.A4.2B$88.A35.A81.11B49.4B224.A.A2.3B$85.3A37.3A 78.11B48.5B61.A163.A.5B$14.2B69.A41.A79.9B48.A.3B61.A.A159.3B2.6B$13. 3B4.A61.3B43.3B77.6B3.D45.A.A65.A4.A155.3B2.6B$11.7B.A.2A58.5B3.2A35. 6B2.A73.6B2.D.D45.A70.A.2A152.4B2.6B.A$10.9B.A.A55.2B.7BA.A34.7B.A.A 74.3B4.D107.3B.3B2.B.A.A152.4B2.5B.A.2A$2.BA15B2A41.BA24B2A.A20.BA19B .A73.D6.D96.BA20B.2A145.BA19B.A.A$AB2A15B.A39.AB2A25B.A19.AB2A19B2A 72.D.DA3.D.D93.AB2A21B.A143.AB2A19B2A$2.BA14B.A.2A39.BA23B3.2A20.BA 19B.A.A71.DA.A3.D96.BA20B.A.A144.BA19B.A$9.10B.A.A58.5B41.5B.A.2A73.A 112.13B2A153.11B.A.A$10.9B.A60.6B41.5B.A187.13B3.A152.12B.A$10.A7B.2A 60.7B39.6B189.13B2.2A151.13B$9.A.A7B58.A2.9B37.7B.A136.2B47.A.13B154. 13B.A$9.2A3.6B56.A.A9B38.7BA.2A133.3B4.A41.A.A2.11B155.10B2.A.A$13.7B 57.A2.6B2.A31.A4.8B.A.A131.7B.A.A41.A.11B157.9B.2B.A.A$13.7B58.2B.6BA .2A28.ADA.10B2A132.9B.A44.11B158.12B.A$12.6B60.9B.A.A28.DAD.12B117.BA 22B2A44.8B.B160.12B$11.8B2.A55.8B2.2A30.2D2.10B117.AB2A22B.A.A43.2B. 5B161.12B$11.9BA.A54.9B2.A35.9B85.A.A31.BA21B.A.2A45.6B161.8B.3B$6.A. 2B.8B2.A57.2B.4B.A.A34.8B85.A.2A45.10B.A44.A2.6B162.8B.B$5.2A12B60.8B .A36.7B86.A48.9B.A43.A.A.5B3.A158.2B.5B$4.BA14B54.13B.A35.7B79.4B3.3B 47.A6B2.A.A43.A.6B2.A.A155.2A9B3.2A$5.2A13B53.13B.A.A34.7B78.BA3B.5B. 2B43.A.A7B.A9.A36.8B.A155.BA10B.B.A$7.12B52.A.12B3.A34.2ABA.2B77.2BAB A11B2A41.2A3.6B9.A.A35.8B158.2A11BA.A$7.12B51.A.A.11B39.3A79.3B2A13BA B44.7B10.A37.7B159.A.9BA.A$12.6B53.A.12B40.B81.16B2A45.8B.B8.3B34.6B 164.4B.2B.2A$11.6B54.2A2B.6B120.BA9B.8B.A42.2A.12B2.3B2.5B33.5B164.5B $9.A.6B52.A.A.8B3.A115.AB2A16B47.A.27B.A27.5B166.4B$8.A.A.B.2B53.2A.A 8B2.A.A116.BA16B46.A.A.27B2A25.6B165.2ABA$9.A61.A.6B5.A122.13B47.A. 29BAB24.6B166.3A$71.2A8B.A123.13B48.A.28B2A26.4B168.B$70.A3.7BA.A122. 11B49.A.A14B.8B.4B29.AB2A$70.2A3.6B.A124.9B.A47.A.A2.14B3.3B4.2B30.3A $75.4B3.2A124.7B.A.A47.A3.14B2.A40.B$75.5B128.8B.A43.A4.10B.6B2.A.A$ 76.4B129.7B44.A.A.13B3.3B3.A$75.2ABA131.6B45.A.15B3.B$76.3A132.2B.B 48.15B$77.B185.15B$122.2A138.B.13B$122.A138.15B.2A$123.3A135.13B4.A$ 19.2B104.A135.12B5.A.A$18.3B4.A100.3B131.A.11BA5.2A$16.7B.A.2A96.6B2. A126.A.A.5B.2B2.3A$15.9B.A.A95.7B.A.A126.A2.7B6.A$2.BA20B2A86.BA17B.A 128.9B5.2A$AB2A20B.A84.AB2A17B2A78.A4.D44.11B$2.BA19B.A.2A84.BA17B.A. A75.A.A2.D.D43.11B$14.10B.A.A97.5B.A.2A76.A4.D2B43.9B$15.9B.A100.5B.A 79.8B43.7B$15.A7B.2A96.A2.6B79.12B40.2A6B$14.A.A7B56.2B39.A.A.6B78.BA 12B38.BA6B$14.2A3.6B54.3B4.A35.A.6B77.2BABA12B38.2A4B$18.7B52.7B.A.2A 33.2A6B76.3B2A14B38.A.2B$18.7B51.9B.A.A31.A.A.6B77.18B$17.6B4.A34.BA 21B2A33.2A.A.5B72.BA9B.10B$16.8B2.A.A31.AB2A21B.A35.A.7BA.2A65.AB2A 10B.6BAB2A$9.2A5.10B.A34.BA20B.A.2A31.A2.7B.2A.A67.BA11B.4B.3A$10.A. 14B49.10B.A.A30.A.A.7B77.9B.2B3.B$9.A.A14B49.10B.A33.A.8B76.11B$10.A 2.9B.2B53.5B2.2A35.9B.A73.11B$13.10B52.A2.7B37.9BA.A73.9B$13.10B51.A. A.8B37.8B.A75.7B$13.13B49.A.8B3.A36.4B3.2A74.6B2A$13.14B48.2A.7B2.A. 2A34.5B79.6BAB$15.11B47.A.A.B.8B.A.A35.4B80.4B2A$15.9B49.2A.A2.7B.2A 36.2ABA82.2B.A$14.2ABA.5B51.A.10B.A37.3A$15.3A2.B55.11BABA37.B$16.B 59.8B2.B.A$71.A3.8B4.2A$70.A.A2.9B4.A.A$71.A.2B.8B3.A.2A$72.15B.A$72. 15B$70.A.15B$69.A.A.13B$70.A5.7B135.A.A$75.5B.B49.2A84.A.2A$75.4B52.A 86.A$76.AB2A52.3A75.4B3.3B$14.2B60.3A55.A74.BA3B.5B.2B$13.3B4.A56.B 57.3B69.2BABA11B2A$11.7B.A.2A110.6B2.A64.3B2A13BAB$10.9B.A.A109.7B.A. A64.16B2A$2.BA15B2A91.BA26B.A60.BA9B.8B.A$AB2A15B.A89.AB2A26B2A58.AB 2A16B$2.BA14B.A.2A89.BA26B.A.A58.BA16B$9.10B.A.A111.5B.A.2A63.13B$10. 9B.A114.5B.A64.13B$10.A7B.2A113.6B66.11B$9.A.A7B114.7B.A65.9B$9.2A3. 6B113.7BA.2A64.7B$13.7B107.A7.5B.A.A64.6B2A$13.7B106.A.A4.7B2A67.6BAB $10.8B109.A4.8B.A68.4B2A$9.9B102.A3.3B.12BA.A68.2B.A$7.12B100.A.A.4B. 12B.A$6.13B101.A.17B2.2A$5.14B.A101.16B$4.14B.A.A100.17B$4.14B2.A102. 15B$5.14B.A103.9B2.3B$4.2ABA11BA.A101.2A6B7.A$5.3A.9B2.A101.BA6B7.A.A $6.B3.3B.3B106.2A4B9.A$13.A110.A.2B$12.A.A$13.A213.2A$228.A$225.3A$ 225.A$222.3B$221.5B3.2A$218.2B.7BA.A$202.BA24B2A.A$200.AB2A25B.A$202. BA23B3.2A$221.5B$221.6B$221.7B$14.2B201.A2.9B$13.3B4.A195.A.A9B$11.7B .A.2A194.A2.6B2.A$10.9B.A.A195.2B.6BA.2A$2.BA15B2A197.9B.A.A$AB2A15B. A196.8B2.2A$2.BA14B.A.2A194.9B2.A$9.10B.A.A196.2B.4B.A.A$10.9B.A189. 2A6.9B.A$10.A7B.2A190.A.14B.A$9.A.A7B190.2A.A13B.A.A$9.2A3.6B189.A.A. 12B3.A$13.7B191.2A12B$13.7B191.A.12B$12.6B4.A187.A.A9B$11.8B2.A.A186. 2A.9B2.A$11.10B.A190.9B.A.A$6.B.2B.10B193.9B.A$3.18B193.10B$2.15B.2B 192.12B$2.16B194.12B$2.4B.2B.8B192.A.7B.2B$3.3B3.10B190.A.A2.B.4B$4.B 4.10B191.A4.5B$10.2B.6B.2A193.4B$12.5B2.A.A194.AB2A$12.7B.A.A193.3A$ 14.5B2.A195.B$14.2A3B$13.BA2B$14.2AB$15.A9$14.2B$13.3B4.A$11.7B.A.2A$ 10.9B.A.A$2.BA15B2A$AB2A15B.A$2.BA14B.A.2A$9.10B.A.A$10.9B.A$10.A7B. 2A$9.A.A7B$9.2A3.6B$13.7B$13.7B$12.8B$11.14B$11.15B$13.13B.A$14.11B.A .A$14.12B.A$17.6B.2B2A$14.A3.8B.A.A$13.A.A2.8BA.2A$14.A5.6B.A$16.A.8B 2A$15.A.A7B3.A$16.A.6B3.2A$15.2A3.4B$19.5B$19.4B$20.AB2A$20.3A$21.B8$ 14.2B$13.3B4.A$11.7B.A.A$10.9B.A$2.BA15B2A$AB2A15B.A.A$2.BA14B.A.2A$ 9.10B.A$10.9B.A$10.A6B2.A.A$9.A.A7B.A9.A$9.2A3.6B9.A.A$13.7B10.A$13. 8B.B8.3B$9.2A.12B2.3B2.5B$10.A.27B.A$9.A.A.27B2A$10.A.29BAB$10.A.28B 2A$9.A.A14B.8B.4B$10.A2.14B3.3B4.2B$14.13B2.A$13.6B.6B2.A.A$13.7B3.3B 3.A$14.5B5.B$13.5B$11.A.6B$10.A.A2.4B$11.A! #C [[ THUMBNAIL WIDTH 1100 HEIGHT 700 ZOOM 2 ]]

Collection of simple stable 90-degree T-ship reflectors and duplicators as well as a grammar as of February 19, 2021, categorized by mod-4 timing and marked with recovery time (dotted numbers) in History format: (hit Alt+J before copy and pasting into a Golly pre-4.0 version)

x=303, y = 649, rule = B3-jknr4ity5ijk6i8/S23-a4city6c7cHistory 241D$D99.D139.D$D42.F56.D139.D$D41.3B55.D139.D$D41.3B55.D139.D$D41.3B 55.D139.D$D41.3B55.D139.D$D41.3B55.D139.D$D41.3B55.D139.D$D41.3B55.D 139.D$D41.3B55.D9.23F17.16F14.19F41.D$D41.3B55.D9.F21.F17.F14.F14.F 17.F41.D$D41.3B55.D9.F6.A4.D9.F17.F14.F14.F17.F41.D$D41.3B55.D9.F5.A. A2.D.D8.F17.F14.F14.F17.F41.D$D41.3B55.D9.F6.A4.D9.F17.F14.F14.F14.D 2.F41.D$D41.3B55.D9.F21.F17.F14.F14.F13.D.D.F41.D$D41.3B55.D9.F21.F 17.F5.2A7.F14.F5.2A7.D2.F41.D$D41.3B55.D9.F5.A15.F17.F6.2A6.F14.F6.2A 9.F41.D$D41.3B55.D9.F4.A.A14.F17.F5.2A7.F14.F5.2A7.D2.F41.D$D41.3B7.B 47.D9.F4.2A15.F17.F5.A8.F14.F5.A7.D.D.F41.D$D41.3B6.4B45.D9.F21.F17.F 9.A.2A.F14.F13.AD2.F21.D.D.D3.D11.D$D41.3B3.A2.5B44.D9.F3.A17.F17.F9. 3A2.F14.F12.A.A2.F41.D$D41.3B2.A.A7B43.D9.FA.2A12.A.2A.F17.F2.D11.F 14.F13.A3.F21.D7.D11.D$D41.3B3.A2.7B42.D9.F3.A12.3A2.F17.F.D.C10.F14. F3.2A.A10.F41.D$D41.3B4.10B41.D9.F21.F17.F2.C.A9.F14.F4.3A10.F21.D.D. 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B6.A3.3B45.B2.A.A7.3B$189.A.A16.A.A2.3B49.A8.3B$190.A18.A3.3B58.3B$ 213.3B58.3B$213.3B58.3B$213.3B58.3B$213.3B58.3B$213.3B59.F$214.F11$ 50.D3.D55.D3.D19.D45.D3.D19.5D41.D3.D19.5D$50.D3.D55.D3.D19.D45.D3.D 23.D41.D3.D23.D$50.D3.D55.D3.D13.D5.D45.D3.D13.D9.D41.D3.D13.D9.D$50. 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D.D.D3.D$47.F132.AB2A20B$120.D7.D53.BA9B.10B56.D7.D$187.18B$120.D.D.D 3.D57.3B2A14B55.D.D.D3.D$187.2BABA12B$124.D3.D60.BA13B60.D3.D$190.12B $120.D.D.D3.D65.7B59.D.D.D3.D$194.3B3.A$50.D.D.D3.D135.3B2.A.A$194.3B 3.A$50.D7.D135.3B$194.3B$50.D.D.D3.D135.3B$194.3B$54.D3.D135.3B$195.F $50.D.D.D3.D67.A$125.ADC.D$126.C.2D135.A$121.2B.2B135.B2.A.A$120.6B 134.4B.A11.B$119.8B132.5B12.3B$118.9B5.2B.3B120.6B8.2B.5B$118.9B4.9B 118.6B7.9B$117.10B3.10B117.9B4.10B$116.11B2.10B117.11B2.10B2.B$116. 11B2.10B117.11B2.14B$117.19B3.A117.9B.17B$55.A56.BA23B.A.A49.D.D.D3.D .D.D49.BA11B.19B$51.B2.A.A53.AB2A10B.12B2.A110.AB2A10B.21B$50.4B.A10. A45.BA9B.13B53.D7.D3.D49.BA9B.22B$49.5B11.A.A49.19B121.28B$48.6B8.2B 2.A49.3B2A15B54.D.D.D3.D.D.D53.3B2A25B$48.6B7.5B51.2BABA13B122.2BABA 24B$47.9B4.6B2.2B49.BA12B61.D7.D56.BA23B$46.11B2.8B.3B49.12B128.23B$ 46.11B2.14B49.8B60.D.D.D3.D.D.D59.20B.A$47.9B.17B7.A39.A4.3B132.A5.2B 2.11BA.A$42.BA11B.20B4.A.A37.A.A3.3B131.A.A8.A.7B3.A$40.AB2A10B.22B4. 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D.D3.D128.A2.14B60.D3.D.D.D$186.A.A14B$54.D3.D128.A2.12B62.D3.D$190. 8B.3B$50.D.D.D3.D132.11B62.D3.D.D.D$191.7B.3B$190.7B2.3B$189.7B3.3B$ 190.2B.2B4.3B$199.3B$127.3B69.3B$120.4B.6B3.A64.3B$119.BA3B.6B2.A.A 63.3B$117.2BABA11B.A64.3B$116.3B2A12B67.F73.2B.2B$117.16B141.6B$69.A 42.BA9B.8B137.B3.8B$68.A.A39.AB2A10B.5B131.A6.3B2.9B$69.A42.BA11B.4B 130.A.A4.16B$117.9B.2B132.A.2B.16B$63.B2.5B2.B42.11B135.20B.3B$62.13B 41.11B133.27B$60.17B40.12B3.A126.BA27B$59.19B40.12B.A.A123.2BABA25B$ 60.17B41.13B.A7.A4.B110.3B2A25B$62.13B44.12B2.3B3.A.A2.3B110.28B$63. 11B46.12B.4B3.A.5B43.D.D.D3.D.D.D49.BA9B.22B$51.A11.11B46.12B.3B5.7B 102.AB2A32B$50.A.A10.11B47.27B42.D3.D3.D53.BA31B$51.A5.2B4.11B49.26B 108.27B$52.8B2.13B48.27B40.D.D.D3.D.D.D53.11B2.14B$50.12B.11B49.27B 106.11B2.8B.3B$49.BA12B2.7B50.A.13B.11B41.D3.D7.D54.10B3.6B2.2B$47.2B ABA20B49.A.A.10B4.11B108.9B4.5B$46.3B2A22B49.A2.9B7.8B41.D.D.D3.D.D.D 55.9B5.2B2.A$47.27B52.8B7.7B112.3B.3B8.A.A$42.BA9B.21B51.8B7.6B117.3B 9.A$40.AB2A10B.20B53.2B.2B7.A3.3B113.A3.3B$42.BA31B.A62.A.A2.3B112.A. A2.3B$47.26B2.A.A62.A3.3B113.A3.3B$46.12B.14B3.A67.3B117.3B$46.12B. 14B71.3B117.3B$47.10B3.14B70.3B117.3B$48.6B7.12B71.3B117.3B$48.6B7. 10B73.3B117.3B$50.3B8.4B.5B74.F119.F$55.D5.4B2.3B50.D.D.D3.D.D.D$50.A 3.D.D5.3B2.3B$49.A.A3.D7.B3.3B50.D7.D3.D$50.A16.3B$67.3B50.D.D.D3.D3. D$67.3B$67.3B50.D3.D3.D3.D$67.3B$67.3B50.D.D.D3.D.D.D$68.F$260.D3.D.D .D3.D.D.D2$260.D3.D3.D7.D2$260.D3.D3.D3.D.D.D2$260.D3.D3.D3.D2$260.D 3.D.D.D3.D.D.D2$50.D3.D3.D.D.D62.A$121.B2.A.A$50.D3.D7.D57.4B.A11.B$ 119.5B12.3B$50.D3.D3.D.D.D55.6B8.2B.5B$118.6B7.9B$50.D3.D3.D58.9B4. 10B$116.11B2.10B2.B$50.D3.D3.D.D.D53.11B2.14B4.A119.B$117.9B.17B2.A.A 117.3B$112.BA11B.20B.A112.2B.2B.3B$110.AB2A10B.21B114.11B$112.BA9B. 22B114.12B$117.29B2.A108.A2.13B$116.3B2A25B.A.A106.A.A2.13B$117.2BABA 24B2.A108.A.15B$68.B50.BA3B.19B114.15B$67.3B50.4B3.16B115.15B$66.4B 57.15B116.16B$65.5B56.A2.12B119.13B$65.6B54.A.A.11B6.A114.11B$66.5B 55.A6.8B4.A.A112.11B$65.6B63.8B4.A113.12B$64.7B63.8B2.2B113.13B$65.6B 64.11B112.13B$66.4B63.14B111.12B$66.5B2.A59.14B110.12B$64.8BA.A59.13B 109.13B$63.9B.A61.12B109.13B$63.10B62.7B2.3B110.12B$63.10B63.5B3.3B 105.BA16B$51.A12.9B64.3B4.3B103.AB2A10B.5B$50.A.A10.11B64.2B4.3B105.B A9B.8B$51.A5.5B.10B67.A3.3B110.16B$52.20B67.A.A2.3B109.3B2A12B$50.22B 68.A3.3B110.2BABA11B.D$49.BA23B70.3B112.BA11B.C.D$47.2BABA24B68.3B 113.11B.A.C$46.3B2A25B68.3B117.5B4.A$47.28B69.3B119.3B$42.BA9B.22B68. 3B119.3B$40.AB2A10B.21B69.F120.3B$42.BA11B.19B191.3B$47.9B.17B192.3B$ 46.11B2.14B194.F$46.11B2.10B2.B$47.9B4.10B$48.6B7.9B$48.6B8.2B.5B$50. 3B13.3B$55.D10.3B51.D.D.D3.D.D.D127.D3.D3.D3.D.D.D$50.A3.D.D9.3B$49.A .A3.D10.3B51.D3.D7.D127.D3.D3.D3.D$50.A15.3B$66.3B51.D.D.D7.D127.D3.D .D.D3.D.D.D$66.3B$66.3B55.D7.D127.D7.D3.D3.D$66.3B$66.3B51.D.D.D7.D 127.D7.D3.D.D.D$67.F4$78.B$77.3B$76.4B$75.5B$75.6B$76.5B$75.6B$74.7B$ 75.6B$76.4B$76.5B2.A$56.A17.8BA.A$55.A.A15.9B.A$56.A.3B12.10B$53.3B2. 4B11.10B$53.9B12.9B$53.9B11.11B$51.11B5.5B.10B$50.32B$50.32B$49.35B$ 48.38B$48.38B$47.38B$46.40B$46.40B$47.9B.8B.19B$42.BA11B.10B.17B$40.A B2A10B.12B2.14B$42.BA9B.13B2.10B2.B$47.19B4.10B$46.3B2A17B3.9B$47.2BA BA17B3.2B.5B$49.BA3B.15B6.3B$50.4B.14B7.3B$55.11B10.3B$57.2BA16.3B$ 57.BA.A15.3B$59.2A15.3B$76.3B$76.3B$76.3B$76.3B$76.3B$77.F3$50.D3.D3. D.D.D2$50.D3.D7.D2$50.D3.D3.D.D.D2$50.D3.D7.D2$50.D3.D3.D.D.D! #C [[ THUMBNAIL WIDTH 800 HEIGHT 1400 ZOOM 2 ]]

Rule 110 unit cell

The following pattern consists of six gun-less Rule 110 unit cells built on September 14, 2020. On-cells emit a T-ship to the right at period-1476.

x=295, y = 1048, rule = B3-jknr4ity5ijk6i8/S23-a4city6c7c:T0,1074 120bo$119bobo136bo$120bo136bobo$258bo2$130bo$129bobo12bo$130bo12bobo$ 144b2o$275bo$274bobo$9bo265bo$8bobo$9bo116bo$125bobo$126bo132bo$258bob o$259b2o4$82bo$74bo6bobo$73bobo6bo$74bo116bo$95bo94bobo75bo$88bo5bobo 94bo75bobo$15b2o70bobo5bo26b2o75bo68bo$bo12bobo44bo26b2o31bobo46bo27bo bo$obo12bo44bobo59bo31bo14bobo27bo$bo59bo91bobo14bo$108bo45bo25bo$107b obo6bo62bobo$108bo6bobo62bo$116bo$198bo$197bobo$198bo$262bo$261bobo$ 92bo169bo$91bobo$92bo78bo69bo$170bobo67bobo$171b2o68bo3$20bo$19bobo 219bo$20bo217bob2o$241bo51bo$6b2o284bobo$5bobo257b2o26bo$6bo26bo52bo 12bo165bobo$32bobo50bobo10bobo165bo$33bo52bo11b2o137bo$170bo65bobo41bo $169bobo65bo34bo6bobo$170bo100bobo6bo$272bo$157bo$156bobo69bo$157bo69b obo$181bo46bo$180bobo$5bo175bo40bo27b2o$4bobo214bobo20bo5bobo12bo$5bo 216bo20bobo5bo12bobo$244bo20bo4$175bo$174bobo37bo$175bo37bobo$214bo3$ 156bo14bo$155bobo12bobo55bo11bo$156bo14bo55bobo9bobo$206bo21bo11bo$ 205bobo$206bo4$220bo$219bobo$160bo14bo22bo21bo$159bobo12bobo20bobo$ 160bo14bo22bo2$179bo$178bobo$138bo40bo32bo$137bobo71bobo$138bo51bo21bo $189bobo$190bo$101bo$100bobo$101bo$204bo$87b2o114bobo$86bobo73b2o40bo$ 87bo26bo16bo30bobo$113bobo14bobo30bo$114bo16bo47bo$178bobo$82bo82bo13b o$81bobo80bobo$82bo82bo24bo$113bo75bobo$112bobo75bo$113bo$103bo$102bob o$103bo43b2o$129bo17bobo12bo$84bo14bo28bobo17bo12bobo$83bobo12bobo27b 2o32bo$84bo14bo9$80bo14bo$79bobo12bobo$80bo14bo4$104bo$103bobo$104bo6$ 89bo$88bobo$89bo3$94bo$93bobo$94bo27$120bo$119bobo136bo$120bo136bobo$ 258bo2$130bo$129bobo12bo$130bo12bobo$144b2o$275bo$274bobo$9bo265bo$8bo bo$9bo116bo$125bobo$126bo132bo$258bobo$259b2o4$82bo$74bo6bobo$73bobo6b o$74bo116bo$95bo94bobo75bo$88bo5bobo94bo75bobo$15b2o70bobo5bo26b2o75bo 68bo$bo12bobo44bo26b2o31bobo46bo27bobo$obo12bo44bobo59bo31bo14bobo27bo $bo59bo91bobo14bo$108bo45bo25bo$107bobo6bo62bobo$108bo6bobo62bo$116bo$ 198bo$197bobo$198bo$262bo$261bobo$92bo169bo$91bobo$92bo78bo69bo$170bob o67bobo$171b2o68bo3$20bo$19bobo219bo$20bo217bob2o$241bo51bo$6b2o284bob o$5bobo257b2o26bo$6bo26bo52bo12bo165bobo$32bobo50bobo10bobo165bo$33bo 52bo11b2o137bo$170bo65bobo41bo$169bobo65bo34bo6bobo$170bo100bobo6bo$ 272bo$157bo$156bobo69bo$157bo69bobo$181bo46bo$180bobo$5bo175bo40bo27b 2o$4bobo214bobo20bo5bobo12bo$5bo216bo20bobo5bo12bobo$244bo20bo4$175bo$ 174bobo37bo$175bo37bobo$214bo3$156bo14bo$155bobo12bobo55bo11bo$156bo 14bo55bobo9bobo$206bo21bo11bo$205bobo$206bo4$220bo$219bobo$160bo14bo 22bo21bo$159bobo12bobo20bobo$160bo14bo22bo2$179bo$178bobo$138bo40bo32b o$137bobo71bobo$138bo51bo21bo$189bobo$190bo$101bo$100bobo$101bo$204bo$ 87b2o114bobo$86bobo73b2o40bo$87bo26bo16bo30bobo$113bobo14bobo30bo$114b o16bo47bo$178bobo$82bo82bo13bo$81bobo80bobo$82bo82bo24bo$113bo75bobo$ 112bobo75bo$113bo$103bo$102bobo$103bo43b2o$129bo17bobo12bo$84bo14bo28b obo17bo12bobo$83bobo12bobo27b2o32bo$84bo14bo9$80bo14bo$79bobo12bobo$ 80bo14bo4$104bo$103bobo$104bo6$89bo$88bobo$89bo3$94bo$93bobo$94bo27$ 120bo$119bobo136bo$120bo136bobo$258bo2$130bo$129bobo12bo$130bo12bobo$ 144b2o$275bo$274bobo$9bo265bo$8bobo$9bo116bo$125bobo$126bo132bo$258bob o$259b2o4$82bo$74bo6bobo$73bobo6bo$74bo116bo$95bo94bobo75bo$88bo5bobo 94bo75bobo$15b2o70bobo5bo26b2o75bo68bo$bo12bobo44bo26b2o31bobo46bo27bo bo$obo12bo44bobo59bo31bo14bobo27bo$bo59bo91bobo14bo$108bo45bo25bo$107b obo6bo62bobo$108bo6bobo62bo$116bo$198bo$197bobo$198bo$262bo$261bobo$ 92bo169bo$91bobo$92bo78bo69bo$170bobo67bobo$171b2o68bo3$20bo$19bobo 219bo$20bo217bob2o$241bo51bo$6b2o284bobo$5bobo257b2o26bo$6bo26bo52bo 12bo165bobo$32bobo50bobo10bobo165bo$33bo52bo11b2o137bo$170bo65bobo41bo $169bobo65bo34bo6bobo$170bo100bobo6bo$272bo$157bo$156bobo69bo$157bo69b obo$181bo46bo$180bobo$5bo175bo40bo27b2o$4bobo214bobo20bo5bobo12bo$5bo 216bo20bobo5bo12bobo$244bo20bo4$175bo$174bobo37bo$175bo37bobo$214bo3$ 156bo14bo$155bobo12bobo55bo11bo$156bo14bo55bobo9bobo$206bo21bo11bo$ 205bobo$206bo4$220bo$219bobo$160bo14bo22bo21bo$159bobo12bobo20bobo$ 160bo14bo22bo2$179bo$178bobo$138bo40bo32bo$137bobo71bobo$138bo51bo21bo $189bobo$190bo$101bo$100bobo$101bo$204bo$87b2o114bobo$86bobo73b2o40bo$ 87bo26bo16bo30bobo$113bobo14bobo30bo$114bo16bo47bo$178bobo$82bo82bo13b o$81bobo80bobo$82bo82bo24bo$113bo75bobo$112bobo75bo$113bo$103bo$102bob o$103bo43b2o$129bo17bobo12bo$84bo14bo28bobo17bo12bobo$83bobo12bobo27b 2o32bo$84bo14bo9$80bo14bo$79bobo12bobo$80bo14bo4$104bo$103bobo$104bo6$ 89bo$88bobo$89bo3$94bo$93bobo$94bo27$120bo$119bobo136bo$120bo136bobo$ 258bo2$130bo$129bobo12bo$130bo12bobo$144b2o$275bo$274bobo$9bo265bo$8bo bo$9bo116bo$125bobo$126bo132bo$258bobo$259b2o4$82bo$74bo6bobo$73bobo6b o$74bo116bo$95bo94bobo75bo$88bo5bobo94bo75bobo$15b2o70bobo5bo26b2o75bo 68bo$bo12bobo44bo26b2o31bobo46bo27bobo$obo12bo44bobo59bo31bo14bobo27bo $bo59bo91bobo14bo$108bo45bo25bo$107bobo6bo62bobo$108bo6bobo62bo$116bo$ 198bo$197bobo$198bo$262bo$261bobo$92bo169bo$91bobo$92bo78bo69bo$170bob o67bobo$171b2o68bo3$20bo$19bobo$20bo$293bo$6b2o284bobo$5bobo257b2o26bo $6bo26bo52bo12bo165bobo$32bobo50bobo10bobo165bo$33bo52bo11b2o137bo$ 170bo65bobo41bo$169bobo65bo34bo6bobo$170bo100bobo6bo$272bo$157bo$156bo bo69bo$157bo69bobo$181bo46bo$180bobo$5bo175bo40bo27b2o$4bobo214bobo20b o5bobo12bo$5bo216bo20bobo5bo12bobo$244bo20bo4$175bo$174bobo37bo$175bo 37bobo$214bo3$156bo14bo$155bobo12bobo55bo11bo$156bo14bo55bobo9bobo$ 206bo21bo11bo$205bobo$206bo4$220bo$219bobo$160bo14bo22bo21bo$159bobo 12bobo20bobo$160bo14bo22bo2$179bo$178bobo$138bo40bo32bo$137bobo71bobo$ 138bo51bo21bo$189bobo$190bo$101bo$100bobo$101bo$204bo$87b2o114bobo$86b obo73b2o40bo$87bo26bo16bo30bobo$113bobo14bobo30bo$114bo16bo47bo$178bob o$82bo82bo13bo$81bobo80bobo$82bo82bo24bo$113bo75bobo$112bobo75bo$113bo $103bo$102bobo$103bo43b2o$129bo17bobo12bo$84bo14bo28bobo17bo12bobo$83b obo12bobo27b2o32bo$84bo14bo9$80bo14bo$79bobo12bobo$80bo14bo4$104bo$ 103bobo$104bo6$89bo$88bobo$89bo3$94bo$93bobo$94bo27$120bo$119bobo136bo $120bo136bobo$258bo2$130bo$129bobo12bo$130bo12bobo$144b2o$275bo$274bob o$9bo265bo$8bobo$9bo116bo$125bobo$126bo132bo$258bobo$259b2o4$82bo$74bo 6bobo$73bobo6bo$74bo116bo$95bo94bobo75bo$88bo5bobo94bo75bobo$15b2o70bo bo5bo26b2o75bo68bo$bo12bobo44bo26b2o31bobo46bo27bobo$obo12bo44bobo59bo 31bo14bobo27bo$bo59bo91bobo14bo$108bo45bo25bo$107bobo6bo62bobo$108bo6b obo62bo$116bo$198bo$197bobo$198bo$262bo$261bobo$92bo169bo$91bobo$92bo 78bo69bo$170bobo67bobo$171b2o68bo3$20bo$19bobo$20bo$293bo$6b2o284bobo$ 5bobo257b2o26bo$6bo26bo52bo12bo165bobo$32bobo50bobo10bobo165bo$33bo52b o11b2o137bo$170bo65bobo41bo$169bobo65bo34bo6bobo$170bo100bobo6bo$272bo $157bo$156bobo69bo$157bo69bobo$181bo46bo$180bobo$5bo175bo40bo27b2o$4bo bo214bobo20bo5bobo12bo$5bo216bo20bobo5bo12bobo$244bo20bo4$175bo$174bob o37bo$175bo37bobo$214bo3$156bo14bo$155bobo12bobo55bo11bo$156bo14bo55bo bo9bobo$206bo21bo11bo$205bobo$206bo4$220bo$219bobo$160bo14bo22bo21bo$ 159bobo12bobo20bobo$160bo14bo22bo2$179bo$178bobo$138bo40bo32bo$137bobo 71bobo$138bo51bo21bo$189bobo$190bo$101bo$100bobo$101bo$204bo$87b2o114b obo$86bobo73b2o40bo$87bo26bo16bo30bobo$113bobo14bobo30bo$114bo16bo47bo $178bobo$82bo82bo13bo$81bobo80bobo$82bo82bo24bo$113bo75bobo$112bobo75b o$113bo$103bo$102bobo$103bo43b2o$129bo17bobo12bo$84bo14bo28bobo17bo12b obo$83bobo12bobo27b2o32bo$84bo14bo9$80bo14bo$79bobo12bobo$80bo14bo4$ 104bo$103bobo$104bo6$89bo$88bobo$89bo3$94bo$93bobo$94bo27$120bo$119bob o136bo$120bo136bobo$258bo2$130bo$129bobo12bo$130bo12bobo$144b2o$275bo$ 274bobo$9bo265bo$8bobo$9bo116bo$125bobo$126bo132bo$258bobo$259b2o4$82b o$74bo6bobo$73bobo6bo$74bo116bo$95bo94bobo75bo$88bo5bobo94bo75bobo$15b 2o70bobo5bo26b2o75bo68bo$bo12bobo44bo26b2o31bobo46bo27bobo$obo12bo44bo bo59bo31bo14bobo27bo$bo59bo91bobo14bo$108bo45bo25bo$107bobo6bo62bobo$ 108bo6bobo62bo$116bo$198bo$197bobo$198bo$262bo$261bobo$92bo169bo$91bob o$92bo78bo69bo$170bobo67bobo$171b2o68bo3$20bo$19bobo$20bo$293bo$6b2o 284bobo$5bobo257b2o26bo$6bo26bo52bo12bo165bobo$32bobo50bobo10bobo165bo $33bo52bo11b2o137bo$170bo65bobo41bo$169bobo65bo34bo6bobo$170bo100bobo 6bo$272bo$157bo$156bobo69bo$157bo69bobo$181bo46bo$180bobo$5bo175bo40bo 27b2o$4bobo214bobo20bo5bobo12bo$5bo216bo20bobo5bo12bobo$244bo20bo4$ 175bo$174bobo37bo$175bo37bobo$214bo3$156bo14bo$155bobo12bobo55bo11bo$ 156bo14bo55bobo9bobo$206bo21bo11bo$205bobo$206bo4$220bo$219bobo$160bo 14bo22bo21bo$159bobo12bobo20bobo$160bo14bo22bo2$179bo$178bobo$138bo40b o32bo$137bobo71bobo$138bo51bo21bo$189bobo$190bo$101bo$100bobo$101bo$ 204bo$87b2o114bobo$86bobo73b2o40bo$87bo26bo16bo30bobo$113bobo14bobo30b o$114bo16bo47bo$178bobo$82bo82bo13bo$81bobo80bobo$82bo82bo24bo$113bo 75bobo$112bobo75bo$113bo$103bo$102bobo$103bo43b2o$129bo17bobo12bo$84bo 14bo28bobo17bo12bobo$83bobo12bobo27b2o32bo$84bo14bo9$80bo14bo$79bobo 12bobo$80bo14bo4$104bo$103bobo$104bo6$89bo$88bobo$89bo3$94bo$93bobo$ 94bo! #CXRLE Pos=-40,-537 #C [[ COLOR ALIVE 255 255 255 ]] #C [[ COLOR ALIVERAMP Aqua ]] #C [[ COLOR DEAD 0 128 64 ]] #C [[ COLOR DEADRAMP 64 128 0 ]] #C [[ THUMBNAIL WIDTH 800 HEIGHT 800 ZOOM 2 ]]

Phase meter

The following phase meter, built on January 6, 2021, measures the phase difference between two T-ships. Advancing the bottom-left one by n generations ( 0 ≤ n ≤ 189 ) causes the pattern to emit n T-ships on the location marked with a ghost T-ship at period-1024:

x=303, y = 163, rule = B3-jknr4ity5ijk6i8/S23-a4city6c7c 207bo$206bobo$207bo6$201bobo$202bo2$202bo2$201bo$200bobo$201bo$288bo$ 287bobo$288bo3$200bo65bo$199bobo63bobo$200bo65bo$147bo$146bobo83bo$ 147bo83bobo31bo$205bo26bo31bobo$204bobo57b2o$205b2o2$219bo$218bobo$ 219bo$189bo$134bo46bo6bobo47bo$133bobo44bobo6bo47bobo$134bo46bo56bo2$ 195bo$153b2o39bobo73bo$152bobo13bo26b2o72bobo$153bo13bobo86bo13bo$168b o86bobo$256bo$152bo$151bobo$152bo$240bo$239bobo$240b2o3$199bo$198bobo$ 199bo11$193bo$192bobo$193bo$233bo$232bobo$233bo3$201b2o$201bobo78bo$ 202bo69bo$271bobo8bo$248b2o22bo8b3o$247bobo$186bo61bo36b2o$185bobo97bo bo$186bo64bo7bo26bo$227b2o21bobo5bobo$227bobo21bo7bo$228bo$291bo$204bo 85bobo$203bobo23bo61bo$204bo23bobo$229bo4$290bo$289bobo$290bo11$284bo$ 283bobo$284bo5$249bo$248bobo$249bo4$142b2o$137bo3bobo$136bobo3bo$137bo 2$156bo$155bobo$156bo86bo$242bobo$243bo8$3bo92b2o$ob2o92b3o$3bo92bo2$ 246b2o$201bo44bobo12bo$132bo67bobo44bo12bobo22b2o$131bobo67bo12bo46bo 22bobo$obobo87bo3bobobo3bobobo23bo80bobo69bo$214b2o$o3bo87bo3bo3bo3bo 3bo2$o3bo87bo3bobobo3bobobo192bo$300bobo$o3bo87bo3bo3bo7bo192bo2$obobo 87bo3bobobo3bobobo3$283bo$282bobo$283bo2$208bo$207bobo$208bo! #C [[ COLOR ALIVE 255 255 255 ]] #C [[ COLOR ALIVERAMP Aqua ]] #C [[ COLOR DEAD 0 128 64 ]] #C [[ COLOR DEADRAMP 64 128 0 ]] #C [[ THUMBNAIL WIDTH 800 HEIGHT 600 ZOOM 2 ]]

Caber tossers

The first caber tosser was completed on January 7, 2021, where a c/2 T-ship approaches two 3c/20 spaceships and gets reflected on the same lane, which then is received by a stable regulator driven by p294 gun. The key boat is destroyed at generations 380, 2018, 5294, 11300, 22220, 42968, 81188, 152168, ..., liberating a T-ship at generations 3, 9, 20, 40, 78, 148, 278, 520, ... *294. The following pattern uses an optimized p294 gun.

x=119, y = 90, rule = B3-jknr4ity5ijk6i8/S23-a4city6c7c 34bo$33bobo$34bo$8bo$7bobo12bo$8bo12bobo$22b2o$52bo$51bobo11bo$52bo4$ 11bo24bo27bob4obo$10bobo16bo5bobo24b3o2bo2b3o$11bo16bobo5b2o26bob4obo$ 29bo29bo$58bobo$59bo2$65bo2$70bo$44b2o$4bo38bobo24bobo$3bobo38bo$4bo 61bo$47bo23bo3bo2bo2bo$23b2o21bobo20bo7bo$23bobo21bo21bo2b3obo2bo2bo$ 24bo44bo7bo$15bo55bo3bo2bo2bo$14bobo49bo$15bo9bo$24bobo43bobo$25bo$70b o13bo$83bobo$64bo19bo$63bobo3bo$64bo3bobo$69b2o3$75bo5bo$74bobo3bobo$ 68bo4b2o2bo3bo$67bobo4b2obo$68bo5bobo$20bo52b3o$19bobo51bo$20bo52bo2bo $67bo2b3ob3o$6b2o58b5o2bo$5bobo57bo2bobo2bo$6bo26bo15bo16bo2bo2b2o$32b obo13bobo15b3o$33bo15bo16b2o$67bobo$bo66b3o$obo51bo14bo$bo51bobo$54bo 19bo$73bobo31bo$74bo31bobo$107bo2$2bo$bobo35bo61bo$2bo35bobo59bobo$39b o60b2o3$40bo$39bobo75bo$40bo26bo48bobo$67b2obo46bo$67bo2$56b2o$8bo46bo bo$7bobo46bo$8bo2$55bo$54bobo$55bo$106bo$105bobo$106bo! #C [[ COLOR ALIVE 255 255 255 ]] #C [[ COLOR ALIVERAMP Aqua ]] #C [[ COLOR DEAD 0 128 64 ]] #C [[ COLOR DEADRAMP 64 128 0 ]] #C [[ THUMBNAIL WIDTH 800 HEIGHT 600 ZOOM 4 ]]

Previously, a design with only stable circuitry failed with 3c/20o spaceships. After the discovery of sparky 16c/34o spaceships, it becomes functional and even can be adjusted.

x=69, y = 103, rule = B3-jknr4ity5ijk6i8/S23-a4city6c7c 2bo$b3o$b3o44$15bo$14bobo$15bo$11bo$10bobo$11bo$34bo$33bobo$34bo3$57bo $56b3o$56bo$55bo$54b3o3b2o$bo19b2o36bo$obo17bobo36bo$bo19bo38b2o2$66b 3o$20bo47bo$19bobo42bo3bo$20bo30bo2bo2bo2b2obo$24bo26b2obob2obob3o3bo$ 23bobo11b2o12bo2bo2bo2b2obo$24bo12b3o24bo3bo$37b2o29bo$10b2o54b3o$9bob o31b2o$10bo26bo5bobo$36bobo5bo12bo$37bo18bobo$57bo4$58bo2$66b3o$68bo$ 8bo55bo3bo$7bobo41bo2bo2bo2b2obo$8bo42b2obob2obob3o3bo$51bo2bo2bo2b2ob o$64bo3bo$68bo$66b3o2$60b2o$59bo$59bo$54b3o3b2o$55bo$56bo$56b3o$57bo! #C [[ COLOR ALIVE 255 255 255 ]] #C [[ COLOR ALIVERAMP Aqua ]] #C [[ COLOR DEAD 0 128 64 ]] #C [[ COLOR DEADRAMP 64 128 0 ]] #C [[ THUMBNAIL WIDTH 800 HEIGHT 600 ZOOM 4 ]]

In the pattern above, the n-th T-ship is emitted and arrive at the shown location at generation 1963*(33ⁿ-1)/16 for any natural number n. The multiplier 1963 can be adjusted to any odd number larger than 1963 by simply moving the components:

• Moving the 16c/34o spaceship to the right for x cells adds 34x to the multiplier,
• Moving the c/2 T-ship to the left for x cells adds 32x to the multiplier,
• Moving the duplicator and 90-degree reflector to the left for x cells adds 2x to the multiplier.

Sqrtgun

The following sqrtgun was completed on January 18, 2021. For any natural number n, the n-th T-ship is emitted at generation 4n²+1443n.

x=160, y = 160, rule = B3-jknr4ity5ijk6i8/S23-a4city6c7c 119bo$119bo$119bo9$140bo$139bobo$130bo9bo$129bobo$59bo70bo$58bobo$59bo $108bo49bo$107bobo47bobo$108bo49bo3$107bo$106bobo33bo$106b2o33bobo$ 142b2o2$48bo$47bobo$48bo3$69bo$64bo3bobo$63bobo3bo$63b2o2$109bo$108bob o$109bo$54bo$47bo5bobo$46bobo5bo$47bo2$53bo19bo$52bobo17bobo29bo$52b2o 19bo29bobo$29bo74bo$28bobo$29bo4$45bo$44bobo$44b2o36bo$81bobo$63bo18bo $62bobo$63bo4b2o$35bo23bo7bobo31b2o$19bo14bobo21bobo7bo26bo5bobo$18bob o14bo23bo34bobo5bo$19bo75bo2$34bo19bo48bo$33bobo17bobo46bobo$33b2o19bo 48bo$bo$obo$bo123bo$124bobo$66bo58bo$65bobo$17bo8bo39bo31bo$16bobo6bob o69bobo$16b2o8bo71bo$22bo$21bobo20bo$22bo20bobo$44bo$40bo$39bobo$40bo 4$109bo$108bobo$109bo$12bo19b2o$11bobo17bobo$12bo19bo55bo$87bobo3bo$ 88bo3bobo$31bo61b2o$30bobo$31bo122bo$153bobo$141bo12bo$140bobo$140b2o$ 35bo$34bobo$35bo2$21b2o$20bobo$21bo26bo59bo$47bobo57bobo$48bo59bo3$ 107bo$106bobo$106b2o39bo$63bo82bobo$62bobo82bo$63bo62bo$19bo105bobo$ 18bobo28b2o75bo$19bo28bobo$49bo26bo$75bobo$76bo5$113bo$112bobo$113bo2$ 47bo$46bobo$47bo67b2o$89bo20bo3bobo$88bobo18bobo3bo$89bo12bo7bo$101bob o$102b2o$131bo$117bo12bobo$117b2obo10bo$117bo$128bo$127bobo$128bo7$96b o25bo$95bobo17bo3bob2o$96bo17bobo5bo$115bo! #C [[ COLOR ALIVE 255 255 255 ]] #C [[ COLOR ALIVERAMP Aqua ]] #C [[ COLOR DEAD 0 128 64 ]] #C [[ COLOR DEADRAMP 64 128 0 ]] #C [[ THUMBNAIL WIDTH 800 HEIGHT 800 ZOOM 4 ]]

A prototype, as shown below, was completed on January 12, 2021. The T-ship outputs are distributed in a similar fasion to those from a sqrtgun, but due to the dominating blinker puffers the overall population growth is linear.

x=123, y = 134, rule = B3-jknr4ity5ijk6i8/S23-a4city6c7c 9bo83b3o$8bobo81bo2bo17b3o$9bo82bo19bo2bo$92b3o4bo12bo$96bo2b2o11b3o4b o$97b3o16bo2b2o$57bo38bobo18b3o$56bobo36bo20bobo$57bo42b3o12bo$102bo 17b3o$99bo2bo19bo$98bo2bo17bo2bo$62b2o32bo21bo2bo$62b3o26bo4bo2bo16bo$ 62b2o32b3o12bo4bo2bo$91bo24b3o$15b2o73b3o18bo$14bobo93b3o$2bo12bo83bo$ bobo92bob2o19bo$2bo24bo71bo16bob2o$26bobo48bo41bo$27bo46bob2o3bo3bo11b o$77bo3bo3bo11bo$81bo3bo11bo$119bo$99bo16bob2o$82bo13bob2o19bo$62bo18b obo15bo$61bobo3bo14bo27b3o$40bo21bo3bobo21b3o18bo$39bobo25b2o22bo24b3o $40bo55b3o12bo4bo2bo$91bo4bo2bo16bo$96bo21bo2bo$41bo56bo2bo17bo2bo$40b obo56bo2bo19bo$41bo60bo17b3o$100b3o12bo$22bo72bo20bobo$21bobo3bo68bobo 18b3o$22bo3bobo68b3o16bo2b2o$27b2o67bo2b2o11b3o4bo$92b3o4bo12bo$92bo 19bo2bo$92bo2bo17b3o$93b3o$26bo$25bobo$26bo10$76bo$32bo42bobo$31bobo 42bo$32bo7$63bo$62bobo$63bo$70bo$69bobo$28b2o40bo$27bobo$15bo12bo$14bo bo$15bo$50bo$49bobo$50bo2$47bo$46bobo$47bo$73b2o$73bobo$68bo5bo12bo$ 63bo3bobo16bobo$62bobo3bo18bo$62b2o4$67bo$66bobo$54bo12bo$53bobo$53b2o $20bo$19bobo$20bo2$6b2o$5bobo$6bo26bo$32bobo$33bo2$bo$obo$bo$60bo$59bo bo$60bo3$2bo$bobo$2bo11$8bo$7bobo$8bo! #C [[ COLOR ALIVE 255 255 255 ]] #C [[ COLOR ALIVERAMP Aqua ]] #C [[ COLOR DEAD 0 128 64 ]] #C [[ COLOR DEADRAMP 64 128 0 ]] #C [[ THUMBNAIL WIDTH 800 HEIGHT 800 ZOOM 4 ]]

T-to-24c/48o converter, infinite distinct 48c/96o spaceship gun and T-to-rake converter

This is a stable converter that takes a T-ship and gives a 24c/48o spaceship at recovery time 142.

x=144, y = 273, rule = B3-jknr4ity5ijk6i8/S23-a4city6c7c 66bo10bo$65bobo8bobo$66bo10bo93$36bo70bo$35bobo68bobo$36bo70bo3$35bo 72bo$34bobo27bo14bo27bobo$34b2o27bobo12bobo27b2o$17bo46bo14bo46bo$16bo bo106bobo$17bo108bo8$30bo82bo$29bobo8bo62bo8bobo$30bo8bobo60bobo8bo$ 40bo62bo2$31bo80bo$30bobo78bobo$31bo80bo2$12bo118bo$11bobo3bo108bo3bob o$12bo3bobo106bobo3bo$4bo12b2o106b2o12bo$3bobo132bobo$4bo134bo8$40bo 62bo$39bobo60bobo$40bo62bo2$5bo132bo$4bobo130bobo$5b2o21bo86bo21b2o$ 27bobo84bobo$28bo86bo7$37b2o66b2o$37bobo64bobo$21bo16bo66bo16bo$20bobo 98bobo$21bo100bo$39bo64bo$38bobo62bobo$39bo64bo3$61bo20bo$60bobo18bobo $61bo20bo7$142bo$141bobo$129bo12bo$128bobo$128b2o$61bo$60bobo$61bo5$bo $obo$bo12bo$13bobo58bo$14b2o57bobo$74bo$135bo$77bo56bobo$76bobo56bo$ 77bo3$56bo$55bobo3bo$56bo3bobo$61b2o2$64b3o$8bo56bo$7bobo$8bo56bo68$ 64b3o$65bo2$65bo! #C [[ COLOR ALIVE 255 255 255 ]] #C [[ COLOR ALIVERAMP Aqua ]] #C [[ COLOR DEAD 0 128 64 ]] #C [[ COLOR DEADRAMP 64 128 0 ]] #C [[ THUMBNAIL WIDTH 800 HEIGHT 800 ZOOM 4 Y -20 ]]

With the construction of sqrtgun, a related infinite distinct 48c/96o spaceship gun (as in Pattern of the Year 2018) can be made:

x=240, y = 226, rule = B3-jknr4ity5ijk6i8/S23-a4city6c7c 119bo$119bo$119bo9$140bo$139bobo$130bo9bo$129bobo$59bo70bo$58bobo$59bo $108bo49bo$107bobo47bobo$108bo49bo3$107bo$106bobo33bo$106b2o33bobo$ 142b2o2$48bo$47bobo$48bo3$69bo$64bo3bobo$63bobo3bo$63b2o2$109bo$108bob o$109bo$54bo$47bo5bobo$46bobo5bo$47bo2$53bo19bo$52bobo17bobo29bo$52b2o 19bo29bobo$29bo74bo$28bobo$29bo4$45bo$44bobo$44b2o36bo$81bobo$63bo18bo $62bobo$63bo4b2o$35bo23bo7bobo31b2o$19bo14bobo21bobo7bo26bo5bobo$18bob o14bo23bo34bobo5bo$19bo75bo2$34bo19bo48bo$33bobo17bobo46bobo$33b2o19bo 48bo$bo$obo$bo123bo$124bobo$66bo58bo$65bobo$17bo8bo39bo31bo$16bobo6bob o69bobo$16b2o8bo71bo$22bo$21bobo20bo$22bo20bobo$44bo$40bo$39bobo$40bo 4$109bo$108bobo$109bo$12bo19b2o$11bobo17bobo$12bo19bo55bo$87bobo3bo$ 88bo3bobo$31bo61b2o$30bobo$31bo122bo$153bobo$141bo12bo$140bobo49bo$ 140b2o49bobo$35bo156bo$34bobo$35bo133bo$168bobo$21b2o146bo$20bobo$21bo 26bo59bo$47bobo57bobo$48bo59bo$151bo$150bobo$107bo43bo$106bobo$106b2o 39bo$63bo82bobo36b2o$62bobo82bo19bo17bobo$63bo62bo39bobo17bo12bo$19bo 105bobo38b2o30bobo$18bobo28b2o75bo72bo$19bo28bobo$49bo26bo$75bobo$76bo 117b2o$194bobo3bo$195bo3bobo$200bo2$113bo67bo$112bobo65bobo$113bo67bo$ 118b3o$47bo70b3o$46bobo70bo$47bo67b2o$89bo20bo3bobo$88bobo18bobo3bo$ 89bo12bo7bo$101bobo$102b2o$131bo$130bobo$131bo2$128bo28bo$127bobo26bob o$128bo28bo68bo$225bobo$216bo9bo11bo$156bo19bo38bobo19bobo$155bobo17bo bo38bo21bo$155b2o19bo2$96bo$95bobo17bo$96bo17bobo$115bo6$166bo$165bobo $166bo$162bo$161bobo$162bo4$216bo21bo$215bobo19bobo$216bo9bo11bo$225bo bo$226bo16$181bo$180bobo$181bo2$200bo$195bo3bobo$194bobo3bo$194b2o4$ 199bo$178b2o18bobo$178bobo5bo12bo$179bo5bobo$185b2o3$163bo$162bobo$ 163bo5$181bo$180bobo$181bo2$192bo$191bobo$192bo! #C [[ COLOR ALIVE 255 255 255 ]] #C [[ COLOR ALIVERAMP Aqua ]] #C [[ COLOR DEAD 0 128 64 ]] #C [[ COLOR DEADRAMP 64 128 0 ]] #C [[ THUMBNAIL WIDTH 800 HEIGHT 800 ZOOM 2 X 70 Y -50 ]]

An associated stable converter, completed on January 30, takes a T-ship and gives a 24c/48o siderake at recovery time 589. Reducing the recovery time would result in a rise in bounding box.

x=251, y = 116, rule = B3-jknr4ity5ijk6i8/S23-a4city6c7c 42bo130bo$41bobo128bobo$42bo100bo29bo$72bo69bobo$71bobo68bobo$72bo70bo 3$71bo72bo$70bobo27bo14bo27bobo$70b2o27bobo12bobo27b2o$100bo14bo2$31bo 152bo$30bobo150bobo$31bo152bo3$52bo110bo$47bo3bobo108bobo3bo$46bobo3bo 110bo3bobo$30bo15b2o120b2o15bo$29bobo44bo62bo44bobo$30bo44bobo60bobo 44bo$34bo41bo62bo41bo$19bo13bobo144bobo48bo$18bobo13bo146bo48bobo$19bo 211bo5$bo247bo$obo80bo48bo115bobo$bo80bobo46bobo115bo$83bo48bo$63bo88b o$23b2o19bo17bobo86bobo17bo19b2o$17bo5bobo17bobo17bo14bo58bo14bo17bobo 17bobo31bo8bo$16bobo5bo19bo32bobo56bobo32bo19bo31bobo6bobo$16b2o60bo 58bo86bo8b2o$62bo90bo74bo$25bo35bobo88bobo35bo21bo14bobo$24bobo34b2o 90b2o34bobo19bobo14bo$25bo15bo132bo15bo21bo$40bobo130bobo$41bo51bo28bo 51bo$92bobo26bobo$27b2o64bo28bo64b2o$26bobo158bobo4bo$27bo26bo106bo26b o4bobo$53bobo104bobo31bo$54bo106bo$78bo58bo$77bobo56bobo78b2o19bo$67bo 10bo58bo10bo61bo6bobo17bobo$66bobo78bobo59bobo6bo19bo$67bo80bo60b2o$ 138bo$137bobo79bo$138bo79bobo$4bo20bo164bo28bo$3bobo12bo5bobo162bobo$ 4bo12bobo5bo164bo$18b2o$156bo$155bobo$156bo4$79bo60bo80b2o$78bobo12bo 45bobo78bobo$79bo12bobo45b2o79bo$93b2o3$237bo$12bo223bobo$11bobo223bo$ 12bo4$125bo93bo$124bobo91bobo$125bo93bo2$87bo$86bobo35bo$87bo35bobo$ 123b2o$200bo$87bo111bobo$84bob2o112bo$87bo$151bo$150bobo46bo$151bo46bo bo$198b2o2$135bo$134bobo81bo$129bo5bo81bobo$128bobo87bo$129bo2$144bo$ 143bobo$144bo4$205bo$204bobo$205bo! #C [[ COLOR ALIVE 255 255 255 ]] #C [[ COLOR ALIVERAMP Aqua ]] #C [[ COLOR DEAD 0 128 64 ]] #C [[ COLOR DEADRAMP 64 128 0 ]] #C [[ THUMBNAIL WIDTH 1100 HEIGHT 600 ZOOM 4 Y -20 ]]

T-to-c/4o spaceship converter and c/4o 180-degree reflector

The device has a recovery time of 137 ticks due to the edge-shooter, and it is moderately edge-shooting.

x=248, y = 140, rule = B3-jknr4ity5ijk6i8/S23-a4city6c7c 31bo$30bobo$31bo93bo$124bobo$125bo5$143bo$142bobo$143bo3$36b2o$35bobo 35bo53bo$36bo35bobo51bobo$73bo43bo9b2o$19bo96bobo3bo$18bobo14bo81bo3bo bo$19bo14bobo85bo$35bo5$23bo20bo52bo$22bobo12bo5bobo34bo15bobo$23bo12b obo5bo26bo7bobo15bo$37b2o31bobo7bo$70b2o4bo$75bobo33b2o19bo$57bo18bo 34bobo17bobo$56bobo53bo19bo$57bo2$110bo2bo$25bo83bob2obo$24bobo83bo2bo $17bo7bo$16bobo94bo$17bo94bobo$113bo$66bo19b2o$65bobo17bobo$66bo19bo5b o64bo$91bobo3bo58bobo$35bo56bo3bobo58bo$34bobo48bo11b2o$35bo48bobo27bo $85bo27bobo$114bo$17bo92bo$16bobo90bobo$17bo92bo2$128bo$127bobo$49bo 78bo26bo8bo$36bo11bobo103bobo6bobo$35bobo11bo104b2o8bo$36bo123bo$75b2o 64bo17bobo$50bo23bobo63bobo17bo$49bobo23bo65bo$23bo26b2o48bo19b2o$22bo bo74bobo17bobo$23bo76bo19bo$91bo$90bobo$91bo27bo57bo68b2o$118bobo56b2o bo64b3o$119bo57bo68b2o2$150bo19b2o$73bo75bobo17bobo$72bobo75bo19bo$45b o27bo$12bo31bobo$11bobo31bo123bo$12bo155bobo$169bo2$30bo$29bobo$30bo6$ 12bo$11bobo$12bo7bo$19bobo$20bo3$103bo$102bobo$103bo2$116b2o$32b2o82bo bo$18bo12bobo56bo26bo$17bobo12bo56bobo$18bo71bo9$119bo$118bobo$119bo$ 16bo$11bo3bobo$10bobo3bo$11bo2$159b2o$158bobo$159bo4$175bo$174bobo$ 175bo$bo19b2o$obo17bobo$bo19bo2$157bo$20bo135bobo$19bobo135bo$20bo! #C [[ COLOR ALIVE 255 255 255 ]] #C [[ COLOR ALIVERAMP Aqua ]] #C [[ COLOR DEAD 0 128 64 ]] #C [[ COLOR DEADRAMP 64 128 0 ]] #C [[ THUMBNAIL WIDTH 800 HEIGHT 800 ZOOM 4 X -30 Y -20 ]]

With the discovery of a c/4o-to-2T converter using a custom catalyst, it can be modified into a 180-degree reflector:

x=177, y = 140, rule = B3-jknr4ity5ijk6i8/S23-a4city6c7c 31bo$30bobo$31bo93bo$124bobo$125bo5$143bo$142bobo$143bo3$36b2o$35bobo 35bo53bo$36bo35bobo51bobo$73bo43bo9b2o$19bo96bobo3bo$18bobo14bo81bo3bo bo$19bo14bobo85bo$35bo5$23bo20bo52bo$22bobo12bo5bobo34bo15bobo$23bo12b obo5bo26bo7bobo15bo$37b2o31bobo7bo$70b2o4bo$75bobo33b2o19bo$57bo18bo 34bobo17bobo$56bobo53bo19bo$57bo2$110bo2bo$25bo83bob2obo$24bobo83bo2bo $17bo7bo$16bobo94bo$17bo94bobo$113bo$66bo19b2o$65bobo17bobo$66bo19bo5b o64bo$91bobo3bo58bobo$35bo56bo3bobo58bo$34bobo48bo11b2o$35bo48bobo27bo $85bo27bobo$114bo$17bo92bo$16bobo90bobo$17bo92bo$169b3ob3o$128bo41b2ob 2o$127bobo41bobo$49bo78bo26bo8bo$36bo11bobo103bobo6bobo$35bobo11bo104b 2o8bo$36bo123bo$75b2o64bo17bobo$50bo23bobo63bobo17bo$49bobo23bo65bo$ 23bo26b2o48bo19b2o$22bobo74bobo17bobo$23bo76bo19bo$91bo$90bobo$91bo27b o$118bobo$119bo$175bo$150bo19bo3bobo$73bo75bobo17bobo3bo$72bobo75bo19b ob3o$45bo27bo97bo2bo$12bo31bobo$11bobo31bo122bo$12bo154bobo$168bo2$30b o$29bobo$30bo6$12bo$11bobo$12bo7bo$19bobo$20bo3$103bo$102bobo$103bo2$ 116b2o$32b2o82bobo$18bo12bobo56bo26bo$17bobo12bo56bobo$18bo71bo9$119bo $118bobo$119bo$16bo$11bo3bobo$10bobo3bo$11bo2$159b2o$158bobo$159bo4$ 175bo$174bobo$175bo$bo19b2o$obo17bobo$bo19bo2$157bo$20bo135bobo$19bobo 135bo$20bo! #C [[ COLOR ALIVE 255 255 255 ]] #C [[ COLOR ALIVERAMP Aqua ]] #C [[ COLOR DEAD 0 128 64 ]] #C [[ COLOR DEADRAMP 64 128 0 ]] #C [[ THUMBNAIL WIDTH 800 HEIGHT 800 ZOOM 4 Y -20 ]]

Quadratic sawtooth

The following quadratic sawtooth was constructed on February 13, 2021.

x=391, y = 373, rule = B3-jknr4ity5ijk6i8/S23-a4city6c7c 145b2o5b2o10b2o5b2o$144bob2o3b2obo8bob2o3b2obo$144b3o5b3o8b3o5b3o$145b o7bo10bo7bo$149bo18bo$148b3o16b3o4$147bo3bo14bo3bo$149bo18bo$135b3o10b 3o16b3o10b3o$93bo41bobo10b3o16b3o10bobo41bo$92bobo40bo4b2o6b3o16b3o6b 2o4bo40bobo$93bo42b2o3b2o6bo18bo6b2o3b2o12bo29bo$123bo15b3o6bobo16bobo 6b3o14bobo$122bobo15bo8bo18bo8bo15bobo$123bo24b3o16b3o24bo$149bo18bo$ 148b3o16b3o$122bo72bo$121bobo27bo14bo27bobo$121b2o27bobo12bobo27b2o$ 151bo14bo2$82bo152bo$81bobo150bobo$82bo152bo3$103bo110bo$98bo3bobo108b obo3bo$97bobo3bo110bo3bobo$81bo15b2o120b2o15bo$80bobo44bo62bo44bobo$ 81bo44bobo60bobo44bo$85bo41bo62bo41bo$70bo13bobo144bobo48bo$69bobo13bo 146bo48bobo$70bo211bo5$52bo247bo$51bobo80bo48bo115bobo$52bo80bobo46bob o115bo$134bo48bo$114bo88bo$74b2o19bo17bobo86bobo17bo19b2o$68bo5bobo17b obo17bo14bo58bo14bo17bobo17bobo31bo8bo$67bobo5bo19bo32bobo56bobo32bo 19bo31bobo6bobo$67b2o60bo58bo86bo8b2o$113bo90bo74bo$76bo35bobo88bobo 35bo21bo14bobo$75bobo34b2o90b2o34bobo19bobo14bo$76bo15bo132bo15bo21bo$ 91bobo130bobo$92bo51bo28bo51bo$143bobo26bobo$78b2o64bo28bo64b2o$77bobo 158bobo4bo$78bo26bo106bo26bo4bobo$104bobo104bobo31bo$105bo106bo$129bo 58bo$128bobo56bobo78b2o19bo$118bo10bo58bo10bo61bo6bobo17bobo$117bobo 78bobo59bobo6bo19bo$118bo80bo60b2o$189bo$188bobo79bo$189bo79bobo$55bo 20bo164bo28bo$54bobo12bo5bobo162bobo$55bo12bobo5bo164bo$69b2o$207bo$ 206bobo$207bo4$130bo60bo80b2o$129bobo12bo45bobo78bobo$130bo12bobo45b2o 79bo$144b2o3$288bo56bo$63bo223bobo54bobo$62bobo223bo56bo$63bo4$270bo$ 269bobo$270bo2$138bo184bo$137bobo160bo21bobo$138bo160bobo21bo$300bo$ 251bo$250bobo85b2o$200bo50bo86bobo$199bobo137bo12bo$200bo150bobo$250bo 101bo$249bobo84bo$249b2o84bobo$336bo$189bo$188bobo78bo69bo$189bo78bobo 67bobo$269bo69bo$306b2o$305bobo$293bo12bo11bo$275bo16bobo22bobo3bo$ 274bobo16bo24bo3bobo$195bo79bo47b2o$194bobo$195bo$256bo$255bobo77bo$ 256bo77bobo$193bo128bo12bo$192bobo126bobo$193bo127b2o2$212bo$207bo3bob o50bo$206bobo3bo50bobo$206b2o56bo3$285bo$280bo3bobo$279bobo3bo$279b2o 3$328bo$327bobo$328bo$340b2o$316bo18bo3bobo$315bobo16bobo3bo$316bo12bo 5bo$328bobo$329b2o$356bo$355bobo6bo$356bo6bobo$364bo$353bo$352bobo$ 353bo5$333bo$332bobo42bo$333bo42bobo$340bo36bo$339bobo$340bo$357b2o$ 357bobo$358bo3$359bo$358bobo$257bo69bo31bo$256bobo67bobo$208bo48bo69bo $207bobo$208bo$256bo55bo$255bobo53bobo$255b2o55bo$335b2o$197bo137bobo 3bo$196bobo137bo3bobo$197bo143bo$283bo$282bobo37bo$283bo37bobo$108bo 88bo124bo$107bobo86bobo$108bo88bo69bo100b2o$266bobo99bobo3b2o$87bo173b o5bo101bo3bo2bo$86bobo171bobo111b2o$87bo173bo43b2o$97bo84bo122bobo47bo $96bobo82bobo92bo29bo12bo34bobo$97bo84bo92bobo40bobo3bo14bo15bo$209b2o 65bo42bo3bobo12bobo$115bo93bobo112bo14bo$114bobo65bo27bo12bo$115bo65bo bo20bo17bobo$182bobo18bobo17bo120bo$183bo20bo138bobo$344bo32b3o$376bo 2bo$88bo287bob2o$87bobo109bo$88b2o108bobo174bo$198b2o174b2obo$375b3o$ 376bo$331bo$330bobo55b2o$331bo55b2obo$388b3o$381bo7bo$371bobobob3o5bo$ 371b4ob5o4b2o$368bo2bobobob3o5bo$367bobo11bo7bo$368bo19b3o$387b2obo$ 388b2o9$388b2o$387b2obo$368bo19b3o$367bobo11bo7bo$368bo2bobobob3o5bo$ 371b4ob5o4b2o$371bobobob3o5bo$381bo7bo$388b3o$304b2o25bo55b2obo$304bob o23bobo55b2o$305bo25bo$376bo$375b3o$374b2obo$289bo85bo$288bobo$289bo 86bob2o$376bo2bo$344bo32b3o$343bobo$344bo2$306bo$305bobo16bo14bo$306bo 16bobo12bobo$324bo14bo15bo$354bobo$355bo2$374bo$369bo3bobo$368bobo3bo$ 368b2o2$322bo$321bobo$322bo2$341bo$336bo3bobo$335bobo3bo$335b2o2$61bo$ 60bobo$61bo$69bo$68bobo256bo$69bo256bobo$327bo31bo$358bobo$359bo2$87bo $79bo6bobo269bo$8bo5bo12bo5bo45b2obo4bo269bobo$7b3o3b3o10b3o3b3o44bo 277b2o$6b2obobobob2o8b2obobobob2o304bo$11bo18bo33b2o273bobo$63bobo5bo 268bo36bo$11bo18bo33bo5bobo260bo42bobo$2bo3bo9bo8bo9bo3bo31b2o259bobo 42bo$b3obo11bo6bo11bob3o292bo$2o2bo3bo5bo12bo5bo3bo2b2o21bo$b2o2bob2o 5b2o10b2o5b2obo2b2o21bobo$2bo7b3o16b3o7bo23bo44bo$10b3o16b3o$9bobobo 14bobobo75bo244bo$10bobo16bobo9bo65b3o242bobo$11bo18bo9bobo310bo$10bob o16bobo9bo322bo$11bo18bo325bo6bobo$355bobo6bo$356bo$329b2o$32bo78b2o 215bobo$31bobo77bobo202bo12bo5bo$32bo79bo202bobo16bobo3bo$316bo18bo3bo bo$340b2o$52bo$51bobo$52bo32bo266bo$47b2o35bobo227b2o35bobo$47bobo35bo 228bobo22bo12bo$48bo266bo22bobo$103bo234b2o$102bobo$103bo$113bo185bo$ 112bobo183bobo$38b2o73bo185bo$37bobo$25bo12bo53bo$24bobo53bo10bobo$25b o53bobo10bo$80bo$316bo$39bo275bobo$38bobo275bo$39bo305bo$344bobo$58bo 286bo$53bo3bobo$52bobo3bo$29b2o21b2o$28bobo$29bo44bo$73bobo$74bo3$56bo $55bobo$56bo128bo$184bobo$38bo146bo$37bobo$38bo$28bo76bo$27bobo74bobo$ 28bo48b2o26bo$77bobo$49bo28bo121b2o$48bobo109bo38bobo$49bo42bo64bob2o 39bo$84bo6bobo66bo$83bobo6bo110bo$84bo94b2o21bobo$179bobo21bo$180bo3$ 181bo15bo$180bobo13bobo$181bo15bo! #C [[ COLOR ALIVE 255 255 255 ]] #C [[ COLOR ALIVERAMP Aqua ]] #C [[ COLOR DEAD 0 128 64 ]] #C [[ COLOR DEADRAMP 64 128 0 ]] #C [[ THUMBNAIL WIDTH 800 HEIGHT 800 ZOOM 2 ]]

Linear sawtooth

As noted by toroidalet, a period-p stream of T-ship can be burnt with the 180-degree kickback reaction at a speed of ((p-2)/4)c/(p/2+1). When the period is 66, the burning speed matches the speed of 16c/34o spaceship, allowing for the construction of a linear sawtooth. GUYTU6J found the following variant with a minimum population of 188 cells, which appears at generations 0, 1122, 39270, 1336302, ... , that is, any natural number of the form 34ⁿ⁺¹-34. At generations of the form (34ⁿ⁺¹-34)/2, the population is 40*(34ⁿ-1)/33+277.

x=70, y = 51, rule = B3-jknr4ity5ijk6i8/S23-a4city6c7c 8bo49bo$7bobo47b3o$8bo48bo$56bo$bo27bo25b3o3b2o$obo25bobo29bo$bo27bo 30bo$19bo41b2o$18bobo$5b3o11bo47b3o$4bo2bo61bo$bo2bo3bo56bo3bo$obobo3b o43bo2bo2bo2b2obo$bo3bo2bo43b2obob2obob3o3bo$52bo2bo2bo2b2obo$65bo3bo$ 69bo$67b3o2$26b2obo29bo$23b2obobo$23b2ob3o5$59bo2$67b3o$4b3ob2o59bo$4b obob2o55bo3bo$3bob2o45bo2bo2bo2b2obo$52b2obob2obob3o3bo$52bo2bo2bo2b2o bo$65bo3bo$69bo$67b3o$24bo2bo3bo$24bo3bobobo8bo2bo16b2o$24bo3bo2bo28bo $25bo2bo31bo$13bo11b3o27b3o3b2o$12bobo41bo$13bo43bo$3bo53b3o$2bobo53bo $3bo$42bo$24bo16bobo$23bobo16bo$24bo! #C [[ COLOR ALIVE 255 255 255 ]] #C [[ COLOR ALIVERAMP Aqua ]] #C [[ COLOR DEAD 0 128 64 ]] #C [[ COLOR DEADRAMP 64 128 0 ]] #C [[ THUMBNAIL WIDTH 800 HEIGHT 600 ZOOM 8 ]]