Four new almost-knightships CGOL

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
Chris857
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Re: Four new almost-knightships CGOL

Post by Chris857 » May 9th, 2021, 6:13 pm

May13 wrote:
May 9th, 2021, 12:38 pm
:idea: calcyman, your partial is infinitely extensible!
Does that count as a new Knightwave then?

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calcyman
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Re: Four new almost-knightships CGOL

Post by calcyman » May 9th, 2021, 7:02 pm

May13 wrote:
May 9th, 2021, 12:38 pm
:idea: calcyman, your partial is infinitely extensible!
Excellent discovery! My ikpx2 search finally (after 3 months running on 16 threads or so) found a completion, which means that we have an extensible knightship with a powerful spark at the front:

Code: Select all

x = 112, y = 413, rule = B3/S23
10b3o3bo2bobo$10bo2bobobobo2bo$10bo2bo3bobo2bo$11bo10bo$10bo3b5o3bo$
10bob2ob2obo3bo$6bo2b2o8bo2bo$4b2obob3o7bobo$3bo5bo2b3o$2b2o3bo5bo$bo
6b6obo$8o6bo$7b4o2b3o$4bo4bo$bo2bo7b3obo$2bo4b2o3b5o$7b2o7b2o$7bo$17b
2o$15b4o$14b2obo$13b3o$12bo2bo$12bo$12bo3b3o$19b2o$13b2o2bo2bo$17bobob
o$18bo3bo2$16bo3b2obo$15b4ob2o3bo$14bo2bobo5bo$17bo7b2o$18b2o5b2o$13b
4o8bo$16b2o3bo3bo$17bo2bo2bo$13bobob5o$14b2o2bo$17b2ob2o$20bo$19bo$18b
5o$17b3ob2o$17b2o$18b3o$21bo$21bo$16b3o2bobo$17bo3bo$15b3o3b2o$16bobo
2b2o$13b2o6b2o$14bo2b2o$15b3o4b2o$17bo6bo2b2o$17bo4b2o2b2o$18bo2bo2bo
2bo2bo$18bob2o2bo2bo2bo$20bo3b2o$25bobobo$20bo4bobo2bo$20bo10bo$26bo4b
obo$22bo4b2o4bo$30bobo$26bo3b3o$25bobo$26bo5bobo$24b3o$24bob2ob4o$22b
2o2b3ob2o$23bo4bobo$24b2o4bo2bo$25b3o2bobob2o$26bobobobo2bo$23b2obo2b
2o$23b2ob2o3b3o$26b3o2bo$33bo$32bobo$30bo3b2o$29b4o2bo$28bo2bobo$29bo
3b2o2bo$34b4o$35bo3b2o$36bo4bo$39bobo$36b2ob2o$38b2o$37b2ob2o$36bo3bo$
35b2obo2bo$35bo4b2o$35bo2bo2$37b2o$36bo4bo$39b3o$36bo3bo$36b2obobo$36b
o2bo$34b2obobob2o$33bo3bobo$34bo4bo2bo$36bobo3b5o$38b6o2bo$37b2o2b3o$
37b3o6bo$42bo$36bo5b2o$36bo3b2o3bo$37bob2o4bo$41bo3bo$41bo$42b2o$27bo
14bo2b2o$26b4o4b3o4bo4bo$25bo2b2o2bo3bo3b3o2bo$28bo2b2o7b3o2b2o$31b2ob
2o4bo$25b3o7bo$24b3o7b2o$24b3o6bobo$19b3o$19b2ob2o2b2o$17bo3bo3b3ob3o$
17b4ob2o4b2o$16bo7b4o$15b3obo9bo$17bo6b8o$21b2o3bo4bo$23b3o2bo$22bobo
3bo2bobo$22bobo9bo$34bo$30b2o$30bob3o$28bo$28bob2o$27bo2bob2o$27bob5o$
29bo2b2ob2o$37bo$33bo3bo$33bo3b2o$38bo$35b2o$30b3ob2o3bo$30bo2b2o2bob
3o$30bob2o3b2o$31bo5b2o$29b2o4b2obo$29b3ob2o3bo$31b3o4b2obo$30bo7bobo$
30bo3bobo$30bo4bobo$32bo4bo$38bo$33b3obo$34bob3o$35bob2o$34bo$33bo3b2o
$32b2o2b3o$37b2o$31bo2bo$30bo3b2o$30bo4bobo$30bo3bo3bo$31bo7bo$32bobo
2bo$37bo2bob2o$32bo9b2o$32bobo2b2o3b2o$37b2o4bo$39bo2bobo$36b4o$36b6o
2bo$43bo2b2o$43bobobo$48bo$41bo5b2o$41bo6bo$41bo7bo$40bo4bob2o$39bo6bo
$39bo2bo4bobo$39b4o3bo2bo$44bo2bo$42bo2bobobo$39bo2bo3bo2b2o$39b4o3bob
o2bo$39b4o5b2o$43b3obob2o$40bo4b3ob2o$40bo3bob2ob2o$44bobo2b2o2$44b2o
2bo2b2o$44b2o2bo$50bo$50b3obo$48bob3o$49bobo3b2o$52bo2bo$52b4o$52bobob
2o$53bo$51b3o2b2o$56b2o$50b3o3bo$51bobobobo$51bo3b2o$56bo$52bo2bo$52b
2ob2o$52bob3o$51b2o3bo$50b2o3b2o$50bo3b2o$50b3o2bo2bo$50b2o3bo3bo$53bo
6bo$53bobob2obob2o$54b2o4bo$60b2o$53b2o2b4o$52b5o3b2o$58bob2o$53bo4bo$
54bo3bo2bo$56bob2obo$55b3o2bo$55b2ob2o$41b3o3bo2bobo3bo5bo$41bo2bobobo
bo2bo3b2o3bo$41bo2bo3bobo2bo6bo$42bo10bo7b2o$41bo3b5o3bo$41bob2ob2obo
3bo$37bo2b2o8bo2bo$35b2obob3o7bobo$34bo5bo2b3o$33b2o3bo5bo$32bo6b6obo$
31b8o6bo$38b4o2b3o$35bo4bo$32bo2bo7b3obo$33bo4b2o3b5o$38b2o7b2o$38bo$
48b2o$46b4o$45b2obo$44b3o$43bo2bo$43bo$43bo3b3o$50b2o$44b2o2bo2bo$48bo
bobo$49bo3bo2$47bo3b2obo$46b4ob2o3bo$45bo2bobo5bo$48bo7b2o$49b2o5b2o$
44b4o8bo$47b2o3bo3bo$48bo2bo2bo$44bobob5o$45b2o2bo$48b2ob2o$51bo$50bo$
49b5o$48b3ob2o$48b2o$49b3o$52bo$52bo$47b3o2bobo$48bo3bo$46b3o3b2o$47bo
bo2b2o$44b2o6b2o$45bo2b2o$46b3o4b2o$48bo6bo2b2o$48bo4b2o2b2o$49bo2bo2b
o2bo2bo$49bob2o2bo2bo2bo$51bo3b2o$56bobobo$51bo4bobo2bo$51bo10bo$57bo
4bobo$53bo4b2o4bo$61bobo$57bo3b3o$56bobo$57bo5bobo$55b3o$55bob2ob4o$
53b2o2b3ob2o$54bo4bobo$55b2o4bo2bo$56b3o2bobob2o$57bobobobo2bo$54b2obo
2b2o$54b2ob2o3b3o$57b3o2bo$64bo$63bobo$61bo3b2o$60b4o2bo$59bo2bobo$60b
o3b2o2bo$65b4o$66bo3b2o$67bo4bo$70bobo$67b2ob2o$69b2o$68b2ob2o$67bo3bo
$66b2obo2bo$66bo4b2o$66bo2bo2$68b2o$67bo4bo$70b3o$67bo3bo$67b2obobo$
67bo2bo$65b2obobob2o$64bo3bobo$65bo4bo2bo$67bobo3b5o$69b6o2bo$68b2o2b
3o$68b3o6bo$73bo$67bo5b2o$67bo3b2o3bo$68bob2o4bo$72bo3bo$72bo$73b2o$
73bo2b2o$72bo4bo$69bob3o2bo$68b3ob2o2b2o$67bo2bo$70b2o$70b4o$72bobo$
70bo4bo$71b2o$71b2o3b3o$77b2o$74b2o$80bob2o$79b4obo$79bo5bo$79bob2o2bo
$79b7o$80bo4bo$80b2o4b5o$86b5o4$90b2o$88bobo$89b4o$89b2ob3o$90bobob5o$
91bo2bob2obo$94bobo2bo$92bobo2bo$91bo$92bo4bo$97bo$92b4o$92b2o$91bo3bo
$92b2o2bo2$95bobo$95b3o$98b4o4b3o$95bo3b3o4b3o$104bo$96b2o5bobo$100b3o
bo$100b5o3b2o$101b3o3b2obo$108bo$106bo2bo$106bob2o$105bo3b3o$105b2o2b
3o$104b2ob3o$105bob2o$106b2o!
What do you do with ill crystallographers? Take them to the mono-clinic!

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wwei47
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Re: Four new almost-knightships CGOL

Post by wwei47 » May 9th, 2021, 7:08 pm

calcyman wrote:
May 9th, 2021, 7:02 pm
Excellent discovery! My ikpx2 search finally (after 3 months running on 16 threads or so) found a completion, which means that we have an extensible knightship with a powerful spark at the front:
Do you plan to continue the search?

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dvgrn
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Re: Four new almost-knightships CGOL

Post by dvgrn » May 9th, 2021, 10:15 pm

Chris857 wrote:
May 9th, 2021, 6:13 pm
Does that count as a new Knightwave then?
Sure -- a ridiculously complex knightwave compared to the other one, but I guess it's still a knightwave.

It can be thought of as traveling obliquely at (2,1)c/6, orthogonally at 44c/357, diagonally at 88c/807, or lots of other weird oblique velocities.

Code: Select all

x = 242, y = 238, rule = B3/S23:T242-31,238
197bo$196bo4bo$201bo$200bo$196b4o$198bobo$196bo2b2o$195b3ob2o$194bo4b
2o$194bo2bobo$193bobo3bo2bo$192b3o2bo2b2o$192b2o2b2o2bobo$194bo7bo$
196b2o5bob3o$196b2o3b5o$196b5o2b2ob2o$199b2ob2obo$198b3o2b2o2bo$204bo
2bo$207bobo$205bo3b3o$206bo$206bo3bobo$206bob2ob2o$205bo3bobo$204bobo
4b2o$203bo2bo$203bo5bob2o$203bo4bo2bo$201b5o5bo$201b2ob2obobo$203b2obo
2bo2b2o$203bo2bo2bobob2o$203bo3bobo2b3o$202b2obob3o2bo$202b2o4bob2o$
204b2obo2bobo$206bo4b2o$213b2o$208b2obob2o$208bo2b2obo$207bo2bobo$211b
2o3bo$212bo3b2o$213bo2bo2bo$218bobo$215b4obo$216bo$215bo4bo$216b2ob2o$
214b2obobo$214b3obobo$213b2obob3o2$216b2o$216bo$216b3obo$218bobo$215b
3o$214b5o$218bob2o$213b2obobo$212bob2o2bob2o$216bobo2bob2o$216b2o5b3o$
219bo5bo$222bo$216bobobobo$216b2o3b2o$221b2o$215b2ob4obo$218bo4b3o$
220bo$220bo$220b3o$205b2o7bo5b3ob2o$205bo2bo5b2o3bo5bo$205bo3b4o2bo8bo
$207b3o4bo3bo5b2o$205b2o3b5o4bobo$203bo2bo5bo2bo$214b2o$199bo3bobo8bo$
198bob4o2bo$197b2o2bo2bob2obo$196bo6b2o3b2o$195b8o5bo$194bo4bo2b5obo$
194bob2o10bo$196b2o6b5obo$201bo8bo$200bo2b2obo4bo$201bo$212b2o2$209b3o
bo$208b2ob2o$209bob2o$206b2ob3o$206bo5bo$208bo$207b2o3b2obo$211b3o2bo$
215b2o$216b2o$215bobo$210bo2b3o$209b3o5b2o$208b2o4b3ob2o$209bob3obo3bo
$208bob2o6bo$208bo2bob3ob2o$208bo3b3o2bo$208bo3b2o2b2obo$209bob2o3b2ob
o$208b3o3b3o$210bo3bobo$215b3o$212b2ob3o$212b3o$212bo$213b2o2bo$213bob
o$211b3obobo$211b2o2bo2bo$211b2o2bobo$213b2o$209b2o2b3o$208b3o3b2o$
209b2o6bo$210bobo4bo$217bo$212bo7b3o$212bo3b2o5bo$212bo3b2o5bo$216bobo
4bo$215bo2bo3bo$215bo4bobo$215bo3bo$216b4ob2ob3o$223bo2b2o$225bobo$
226b3o$219b3o4b3o$219b2o5bobo$219bo5b3o$218b2o5bo$217b2o2bo3b3o$218b5o
2b2o$219bob2obobo$222bobobob2o$218bo2b2ob2o2b2o$217bo4bo4bo$218bo4b3o$
218bo2b4obo$222bo7bo$223bo6bo$225b5o$223bo4b3o$223b2o$223b2o3bobo$228b
2o$231b2o$232bobo$228bo5b2o$230b2o$230b2o$231bo3bo$230bo2b2o$231b2o2b
2o$229bo2bobo$229b3o2bo$233b2obo$231bob2obo$235bo$231b4o$230b2o$233bo
2bo$229bob3o2bo$229bobobobo$228bo2bobo$228bo2bo2b2o$229bo3bo4bo$231bo
3bobob2o$232bob2o3bo$233b3o3bobo$232bobo2bo2bo$231bo3b3o$231bo2b2o$
231bo2bobo2b2o$236b2ob2o$237bobo$235bob2obo$239bo$221bo15b2o$220b3o3bo
bobo3b2o2bo$219b2o2b2o2bobob2o3bo3bo$220b3obobo4b3o7bo$220b2o2b2o5b3o
6bo$220bob3o3bo2b3o$220bo2bo4b2ob3o$215b2obo3bo5b5o$214b3o4b3o6bo$212b
2o2bo2bob4o$212b2o$210bo4bo2b6o$210b7o$211b2o4bob2o2b3o$219b2obo$213bo
4bo3bo3bo$217b2o3bo$216bo6b2ob2o$217b2o7bobo$228bo$224b2o$223bo3b2o$
223bo$222bo2bo$221b3o2b2o$227b3o$223bo2bo2b2o$231bo$227bob3o$228bo$
231b2o$225b2o2b4o$225bo2bo2b2obo$225bo3b2o3b2o$227bobo4bo$224b5o5bo$
224b3obo5b2o$224bo2bo6bo$232bo$225bobo2b2o$224b2o$227b2ob2o$228bob2o!
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ihatecorderships
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Re: Four new almost-knightships CGOL

Post by ihatecorderships » May 9th, 2021, 10:54 pm

calcyman wrote:
May 9th, 2021, 7:02 pm
May13 wrote:
May 9th, 2021, 12:38 pm
:idea: calcyman, your partial is infinitely extensible!
Excellent discovery! My ikpx2 search finally (after 3 months running on 16 threads or so) found a completion, which means that we have an extensible knightship with a powerful spark at the front:

Code: Select all

x = 112, y = 413, rule = B3/S23
10b3o3bo2bobo$10bo2bobobobo2bo$10bo2bo3bobo2bo$11bo10bo$10bo3b5o3bo$
10bob2ob2obo3bo$6bo2b2o8bo2bo$4b2obob3o7bobo$3bo5bo2b3o$2b2o3bo5bo$bo
6b6obo$8o6bo$7b4o2b3o$4bo4bo$bo2bo7b3obo$2bo4b2o3b5o$7b2o7b2o$7bo$17b
2o$15b4o$14b2obo$13b3o$12bo2bo$12bo$12bo3b3o$19b2o$13b2o2bo2bo$17bobob
o$18bo3bo2$16bo3b2obo$15b4ob2o3bo$14bo2bobo5bo$17bo7b2o$18b2o5b2o$13b
4o8bo$16b2o3bo3bo$17bo2bo2bo$13bobob5o$14b2o2bo$17b2ob2o$20bo$19bo$18b
5o$17b3ob2o$17b2o$18b3o$21bo$21bo$16b3o2bobo$17bo3bo$15b3o3b2o$16bobo
2b2o$13b2o6b2o$14bo2b2o$15b3o4b2o$17bo6bo2b2o$17bo4b2o2b2o$18bo2bo2bo
2bo2bo$18bob2o2bo2bo2bo$20bo3b2o$25bobobo$20bo4bobo2bo$20bo10bo$26bo4b
obo$22bo4b2o4bo$30bobo$26bo3b3o$25bobo$26bo5bobo$24b3o$24bob2ob4o$22b
2o2b3ob2o$23bo4bobo$24b2o4bo2bo$25b3o2bobob2o$26bobobobo2bo$23b2obo2b
2o$23b2ob2o3b3o$26b3o2bo$33bo$32bobo$30bo3b2o$29b4o2bo$28bo2bobo$29bo
3b2o2bo$34b4o$35bo3b2o$36bo4bo$39bobo$36b2ob2o$38b2o$37b2ob2o$36bo3bo$
35b2obo2bo$35bo4b2o$35bo2bo2$37b2o$36bo4bo$39b3o$36bo3bo$36b2obobo$36b
o2bo$34b2obobob2o$33bo3bobo$34bo4bo2bo$36bobo3b5o$38b6o2bo$37b2o2b3o$
37b3o6bo$42bo$36bo5b2o$36bo3b2o3bo$37bob2o4bo$41bo3bo$41bo$42b2o$27bo
14bo2b2o$26b4o4b3o4bo4bo$25bo2b2o2bo3bo3b3o2bo$28bo2b2o7b3o2b2o$31b2ob
2o4bo$25b3o7bo$24b3o7b2o$24b3o6bobo$19b3o$19b2ob2o2b2o$17bo3bo3b3ob3o$
17b4ob2o4b2o$16bo7b4o$15b3obo9bo$17bo6b8o$21b2o3bo4bo$23b3o2bo$22bobo
3bo2bobo$22bobo9bo$34bo$30b2o$30bob3o$28bo$28bob2o$27bo2bob2o$27bob5o$
29bo2b2ob2o$37bo$33bo3bo$33bo3b2o$38bo$35b2o$30b3ob2o3bo$30bo2b2o2bob
3o$30bob2o3b2o$31bo5b2o$29b2o4b2obo$29b3ob2o3bo$31b3o4b2obo$30bo7bobo$
30bo3bobo$30bo4bobo$32bo4bo$38bo$33b3obo$34bob3o$35bob2o$34bo$33bo3b2o
$32b2o2b3o$37b2o$31bo2bo$30bo3b2o$30bo4bobo$30bo3bo3bo$31bo7bo$32bobo
2bo$37bo2bob2o$32bo9b2o$32bobo2b2o3b2o$37b2o4bo$39bo2bobo$36b4o$36b6o
2bo$43bo2b2o$43bobobo$48bo$41bo5b2o$41bo6bo$41bo7bo$40bo4bob2o$39bo6bo
$39bo2bo4bobo$39b4o3bo2bo$44bo2bo$42bo2bobobo$39bo2bo3bo2b2o$39b4o3bob
o2bo$39b4o5b2o$43b3obob2o$40bo4b3ob2o$40bo3bob2ob2o$44bobo2b2o2$44b2o
2bo2b2o$44b2o2bo$50bo$50b3obo$48bob3o$49bobo3b2o$52bo2bo$52b4o$52bobob
2o$53bo$51b3o2b2o$56b2o$50b3o3bo$51bobobobo$51bo3b2o$56bo$52bo2bo$52b
2ob2o$52bob3o$51b2o3bo$50b2o3b2o$50bo3b2o$50b3o2bo2bo$50b2o3bo3bo$53bo
6bo$53bobob2obob2o$54b2o4bo$60b2o$53b2o2b4o$52b5o3b2o$58bob2o$53bo4bo$
54bo3bo2bo$56bob2obo$55b3o2bo$55b2ob2o$41b3o3bo2bobo3bo5bo$41bo2bobobo
bo2bo3b2o3bo$41bo2bo3bobo2bo6bo$42bo10bo7b2o$41bo3b5o3bo$41bob2ob2obo
3bo$37bo2b2o8bo2bo$35b2obob3o7bobo$34bo5bo2b3o$33b2o3bo5bo$32bo6b6obo$
31b8o6bo$38b4o2b3o$35bo4bo$32bo2bo7b3obo$33bo4b2o3b5o$38b2o7b2o$38bo$
48b2o$46b4o$45b2obo$44b3o$43bo2bo$43bo$43bo3b3o$50b2o$44b2o2bo2bo$48bo
bobo$49bo3bo2$47bo3b2obo$46b4ob2o3bo$45bo2bobo5bo$48bo7b2o$49b2o5b2o$
44b4o8bo$47b2o3bo3bo$48bo2bo2bo$44bobob5o$45b2o2bo$48b2ob2o$51bo$50bo$
49b5o$48b3ob2o$48b2o$49b3o$52bo$52bo$47b3o2bobo$48bo3bo$46b3o3b2o$47bo
bo2b2o$44b2o6b2o$45bo2b2o$46b3o4b2o$48bo6bo2b2o$48bo4b2o2b2o$49bo2bo2b
o2bo2bo$49bob2o2bo2bo2bo$51bo3b2o$56bobobo$51bo4bobo2bo$51bo10bo$57bo
4bobo$53bo4b2o4bo$61bobo$57bo3b3o$56bobo$57bo5bobo$55b3o$55bob2ob4o$
53b2o2b3ob2o$54bo4bobo$55b2o4bo2bo$56b3o2bobob2o$57bobobobo2bo$54b2obo
2b2o$54b2ob2o3b3o$57b3o2bo$64bo$63bobo$61bo3b2o$60b4o2bo$59bo2bobo$60b
o3b2o2bo$65b4o$66bo3b2o$67bo4bo$70bobo$67b2ob2o$69b2o$68b2ob2o$67bo3bo
$66b2obo2bo$66bo4b2o$66bo2bo2$68b2o$67bo4bo$70b3o$67bo3bo$67b2obobo$
67bo2bo$65b2obobob2o$64bo3bobo$65bo4bo2bo$67bobo3b5o$69b6o2bo$68b2o2b
3o$68b3o6bo$73bo$67bo5b2o$67bo3b2o3bo$68bob2o4bo$72bo3bo$72bo$73b2o$
73bo2b2o$72bo4bo$69bob3o2bo$68b3ob2o2b2o$67bo2bo$70b2o$70b4o$72bobo$
70bo4bo$71b2o$71b2o3b3o$77b2o$74b2o$80bob2o$79b4obo$79bo5bo$79bob2o2bo
$79b7o$80bo4bo$80b2o4b5o$86b5o4$90b2o$88bobo$89b4o$89b2ob3o$90bobob5o$
91bo2bob2obo$94bobo2bo$92bobo2bo$91bo$92bo4bo$97bo$92b4o$92b2o$91bo3bo
$92b2o2bo2$95bobo$95b3o$98b4o4b3o$95bo3b3o4b3o$104bo$96b2o5bobo$100b3o
bo$100b5o3b2o$101b3o3b2obo$108bo$106bo2bo$106bob2o$105bo3b3o$105b2o2b
3o$104b2ob3o$105bob2o$106b2o!
Wow! :shock:
That means we have two elementary knightships now, and one extensible one. Great job calcyman!
Could someone consider updating the LifeWiki Knightship page?
-- Kalan Warusa
Don't drink and drive, think and derive.

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dvgrn
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Re: Four new almost-knightships CGOL

Post by dvgrn » May 9th, 2021, 11:17 pm

ihatecorderships wrote:
May 9th, 2021, 10:54 pm
That means we have two elementary knightships now, and one extensible one. Great job calcyman!
It seems to me that Sir Robin is also extensible, in a couple of ways (via knightwave connections and direct connections between multiple Sir Robins). See the Other Spaceships section of the Sir Robin LifeWiki article.

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