Stable glider reflector

For discussion of specific patterns or specific families of patterns in Conway's Game of Life, both newly-discovered and well-known.
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Tawal
Posts: 849
Joined: October 8th, 2023, 7:20 am
Location: Mælar

Re: Stable glider reflector

Post by Tawal » May 16th, 2025, 8:27 am

Is it known ?
180° 29hd Glider reflector (is it CC ?)

Code: Select all

x = 64, y = 87, rule = LifeHistory
34.D$.3D2.4D7.D4.3D3.3D2.D.D6.3D3.3D2.D9.D$D3.D.D3.D5.2D3.D3.D.D3.D2.
D6.D3.D.D3.D.D9.D$D5.D3.D6.D3.D3.D.D2.2D13.D.D3.D.D.2D3.4D$D5.4D7.D4.
3D2.D.D.D12.D3.4D.2D2.D.D3.D$D5.D10.D3.D3.D.2D2.D11.D7.D.D3.D.D3.D$D
3.D.D10.D3.D3.D.D3.D10.D8.D.D3.D.D3.D$.3D2.D9.3D3.3D3.3D10.5D2.3D2.D
3.D2.4D6$33.2A$34.3A$32.A4.A2.2A$30.3A.2A.A3.A$22.2D5.A4.A.A.3A$21.2D
2B5.3A.B.A.A$22.BD2B6.ABABABA$23.4B6.2A.2A$24.4B6.4B$25.5B3.3B$26.11B
5.2A$27.11B4.A$27.11B.BA.A$26.12B.B2A$4.C20.15B$3.2BC18.16B$3.3CB17.
16B$4.4B17.14B$5.4B12.2A2.12B$6.4B11.A2.AB4.7B$7.4B11.3AB5.8B3.B$8.4B
15.A3.9B.B2A$9.4B11.4A4.10B2A$10.4B10.A7.9B.B$11.4B10.A6.8B$12.4B8.2A
5.9B$13.4B15.7B$14.4B13.2B2E4B$15.4B12.BE2BE3B$16.4B11.2B2E4B.B$17.4B
11.11B$18.4B11.12B4.B$19.4B9.15B.B2A$20.4B8.17B2A$21.4B6.17B.B$22.4B
5.15B$23.4B3.10B2.4B$24.4B2.10B3.B$25.4B.10B$24.17B$23.19B$22.20B$21.
22B$22.22B5.A$22.22B3.3A$24.20B2.A$25.17B.BA2.A$26.18B4A$29.15B$30.4B
2E5B2.B2A$28.5B.2E.4B4.A$28.2A8.2B5.A.2A$29.A7.2A2B.2A.A2.A$26.3A7.AB
.A2B.A.2A$26.A8.A.2AB2.A$35.A5.A$36.6A.A$38.A3.A.A$41.A2.A$42.2A8$29.
D2.3D2.5D.D$28.D2.D3.D.D6.D$27.D3.D3.D.D7.D$27.D4.4D2.3D4.D$27.D7.D5.
D3.D$28.D2.D3.D.D3.D2.D$29.D2.3D3.3D2.D!
#C [[ STOP 280 ]]
The starting is known but what about the ending ?
It still interesting because this reflector can't be constructed with one Snark and one Snark64.

Edit:
Added RT95 on rle.
Last edited by Tawal on May 16th, 2025, 4:35 pm, edited 1 time in total.
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dvgrn
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Re: Stable glider reflector

Post by dvgrn » May 16th, 2025, 9:54 am

Tawal wrote:
May 16th, 2025, 8:27 am
Is it known ?
180° 29hd Glider reflector (is it CC ?)
...
The starting is known but what about the ending ?
It still interesting because this reflector can't be constructed with one Snark and one Snark64.
Well, it's not in the "180° reflectors" section of the LifeWiki article (yet).

There are a few different easy ways to tell if a 180-degree reflector is color-changing vs. color-preserving.

One is to paste a LifeHistory glider track across the input and output lanes, and see if the inside corners have the same number of cells (either 1 or 2). A CC reflector has a 2-cell internal corner, and a CP reflector has a 1-cell internal corner. 180-degree reflectors, to be CP, have to have two of the same kind of corners.

Code: Select all

x = 57, y = 69, rule = LifeHistory
13.4B$14.4B$15.4B6.B$16.4B4.2B$17.4B2.3B$18.8B$19.6B$20.4B$19.6B$18.8B
13.2A$17.4B2.4B13.3A$16.4B4.4B10.A4.A2.2A$15.4B6.4B7.3A.2A.A3.A$14.4B
8.4B5.A4.A.A.3A$.D11.4B10.B3D5.3A.B.A.A$2BD9.4B12.D3B6.ABABABA$3DB7.4B
14.D3B6.2A.2A$.4B5.4B16.4B6.4B$2.4B3.4B18.5B3.3B$3.4B.4B20.11B5.2A$4.
7B22.11B4.A$5.5B23.11B.BA.A$5.5B22.12B.B2A$4.7B20.15B$3.4B.4B18.16B$3.
3B3.4B17.16B$3.2B5.4B17.14B$3.B7.4B12.2A2.12B$12.4B11.A2.AB4.7B$13.4B
11.3AB5.8B3.B$14.4B15.A3.9B.B2A$15.4B11.4A4.10B2A$16.4B10.A7.9B.B$17.
4B10.A6.8B$18.4B8.2A5.9B$19.4B15.7B$20.4B13.2B2E4B$21.4B12.BE2BE3B$22.
4B11.2B2E4B.B$23.4B11.11B$24.4B11.12B4.B$25.4B9.15B.B2A$26.4B8.17B2A$
27.4B6.17B.B$28.4B5.15B$29.4B3.10B2.4B$30.4B2.10B3.B$31.4B.10B$30.17B
$29.19B$28.20B$27.22B$28.22B5.A$28.22B3.3A$30.20B2.A$31.17B.BA2.A$32.
18B4A$35.15B$36.4B2E5B2.B2A$34.5B.2E.4B4.A$34.2A8.2B5.A.2A$35.A7.2A2B
.2A.A2.A$32.3A7.AB.A2B.A.2A$32.A8.A.2AB2.A$41.A5.A$42.6A.A$44.A3.A.A$
47.A2.A$48.2A!
More directly, for either 90° or 180° reflectors, draw input and output gliders that are direct rotations of each other, point at let's say the nose cell in each glider in Golly or LifeViewer, and add up the coordinates. If the parities match -- both coordinate sums are even or both are odd -- that's a color-preserving glider reflector; if the parities are different it's color-changing.

This reflector is color-preserving. Somewhat counterintuitively, any 180° glider reflector with an odd distance between input and output lanes will be CP.

User avatar
Tawal
Posts: 849
Joined: October 8th, 2023, 7:20 am
Location: Mælar

Re: Stable glider reflector

Post by Tawal » May 16th, 2025, 2:40 pm

Well, thanks for your clear explanations.
So, the reflector I posted is CP. EDIT by dvgrn: Yes. I edited out the "right?" question here -- see first edit below.

Here is another Glider reflector with the same start.
I think this one is more important as it is a CC 180° 20hd (RT90)
I don't know any 180° stable Glider reflector which have this lanes.

Code: Select all

x = 63, y = 86, rule = LifeHistory
34.D$.3D3.3D7.D4.3D3.3D2.D.D5.3D3.3D2.D9.D$D3.D.D3.D5.2D3.D3.D.D3.D2.
D5.D3.D.D3.D.D9.D$D5.D10.D3.D3.D.D2.2D12.D.D2.2D.D.2D3.4D$D5.D10.D4.
3D2.D.D.D11.D2.D.D.D.2D2.D.D3.D$D5.D10.D3.D3.D.2D2.D10.D3.2D2.D.D3.D.
D3.D$D3.D.D3.D6.D3.D3.D.D3.D9.D4.D3.D.D3.D.D3.D$.3D3.3D6.3D3.3D3.3D9.
5D2.3D2.D3.D2.4D12$8.4B$9.4B$10.4B21.A$11.4B18.3A$12.4B16.A$13.4B15.
2A$14.4B6.2A3.5B4.2A$15.4B4.B2AB.4B6.A$16.4B3.3B2.5B6.A$17.4B3.B2.7B
4.2A$18.16B.2B$19.19B2A$20.17BA.A$20.17B.A$19.AB2.2B.10B3.3A$18.A.A6.
8B6.A$18.2A7.9B$26.11B3.B$9.C16.12B.B2A$8.2BC13.2AB.12B2A$8.3CB11.A.A
B3.9B.B$9.4B10.A6.8B$10.4B8.2A5.9B$11.4B15.7B$12.4B13.2B2E4B$13.4B12.
BE2BE3B$14.4B11.2B2E4B.B$15.4B11.11B$16.4B11.12B4.B$17.4B9.15B.B2A$
18.4B8.17B2A$19.4B6.17B.B$20.4B5.15B$21.4B3.10B2.4B$22.4B2.10B3.B$23.
4B.10B$22.17B$21.19B$20.20B$19.22B$20.22B5.A$20.22B3.3A$22.20B2.A$23.
17B.BA2.A$24.18B4A$27.15B$28.4B2E5B2.B2A$26.5B.2E.4B4.A$26.2A8.2B5.A.
2A$27.A7.2A2B.2A.A2.A$24.3A7.AB.A2B.A.2A$24.A8.A.2AB2.A$33.A5.A$34.6A
.A$36.A3.A.A$39.A2.A$40.2A4$25.D2.3D3.3D2.D$24.D2.D3.D.D3.D2.D$23.D3.
D3.D.D2.2D3.D$23.D4.4D.D.D.D3.D$23.D7.D.2D2.D3.D$24.D2.D3.D.D3.D2.D$
25.D2.3D3.3D2.D!
Here is too my collection of 180° stable Glider reflectors (0hd to 29hd) :

Code: Select all

x = 2244, y = 219, rule = LifeHistory
1499.D$1466.3D3.3D7.D4.3D3.3D2.D.D5.3D3.3D2.D9.D$20.3D4.D7.D58.D4.D7.
D122.3D4.D7.D47.3D4.D7.D57.D4.D7.D58.4B27.5D3.D7.D70.3D4.D7.D97.5D3.D
7.D60.3D4.D7.D88.D4.3D4.D7.D76.D4.3D4.D7.D60.D6.D4.D7.D51.D3.5D3.D7.D
76.D3.5D3.D7.D82.D4.3D4.D7.D76.D4.3D4.D7.D47.D3.D.D3.D5.2D3.D3.D.D3.D
2.D5.D3.D.D3.D.D9.D52.3D4.D4.D7.D69.3D3.3D4.D7.D96.3D5.D4.D7.D98.3D2.
5D9.3D11.D7.D68.3D3.3D4.D7.D73.3D2.5D3.D7.D$19.D3.D3.D7.D57.2D4.D7.D
121.D3.D3.D7.D46.D3.D3.D7.D56.2D4.D7.D59.4B26.D7.D7.D69.D7.D7.D101.D
3.D7.D59.D3.D3.D7.D87.2D3.D3.D3.D7.D75.2D3.D3.D3.D7.D59.2D5.2D4.D7.D
50.2D3.D7.D7.D75.2D7.D3.D7.D81.2D3.D3.D3.D7.D75.2D3.D3.D3.D7.D47.D5.D
10.D3.D3.D.D2.2D12.D.D2.2D.D.2D3.4D51.D3.D2.2D4.D7.D68.D3.D.D3.D3.D7.
D95.D3.D3.2D4.D7.D97.D3.D.D12.D3.D10.D7.D67.D3.D.D7.D7.D72.D3.D5.D3.D
7.D$19.D2.2D3.D7.D58.D4.D7.D125.D3.D7.D50.D3.D7.D55.D.D4.D7.D60.4B25.
D7.D7.D69.D7.D7.D100.D4.D7.D59.D3.D3.D7.D88.D3.D2.2D3.D7.D76.D7.D3.D
7.D60.D4.D.D4.D7.D51.D3.D7.D7.D76.D6.D4.D7.D82.D3.D3.D3.D7.D76.D3.D3.
D3.D7.D47.D5.D10.D4.3D2.D.D.D11.D2.D.D.D.2D2.D.D3.D55.D3.D4.D7.D72.D
5.D3.D7.D99.D2.D.D4.D7.D101.D.D8.D7.D2.D3.D3.D7.D71.D.D7.D7.D76.D4.D
4.D7.D79.D$19.D.D.D3.3D3.3D58.D4.3D3.3D124.D4.3D3.3D48.2D4.3D3.3D54.D
2.D4.3D3.3D61.4B25.3D4.3D3.3D69.4D4.3D3.3D99.D5.3D3.3D60.4D3.3D3.3D
88.D3.D.D.D3.3D3.3D76.D5.2D4.3D3.3D60.D3.D2.D4.3D3.3D51.D4.3D4.3D3.3D
76.D5.D5.3D3.3D82.D4.3D4.3D3.3D76.D4.4D3.3D3.3D47.D5.D10.D3.D3.D.2D2.
D10.D3.2D2.D.D3.D.D3.D54.D4.D4.3D3.3D71.D5.D4.3D3.3D98.D2.D2.D4.3D3.
3D100.D3.3D4.3D5.D4.D.D4.3D3.3D70.D2.4D4.3D3.3D75.D4.D5.3D3.3D46.3D2.
4D7.D4.3D3.3D2.D.D6.3D3.3D2.D9.D$19.2D2.D3.D2.D.D2.D58.D4.D2.D.D2.D
123.D5.D2.D.D2.D50.D3.D2.D.D2.D54.5D3.D2.D.D2.D62.4B27.D3.D2.D.D2.D
69.D3.D3.D2.D.D2.D98.D6.D2.D.D2.D63.D3.D2.D.D2.D88.D3.2D2.D3.D2.D.D2.
D76.D7.D3.D2.D.D2.D60.D3.5D3.D2.D.D2.D51.D7.D3.D2.D.D2.D76.D4.D6.D2.D
.D2.D82.D3.D3.D3.D2.D.D2.D76.D7.D3.D2.D.D2.D47.D3.D.D3.D6.D3.D3.D.D3.
D9.D4.D3.D.D3.D.D3.D53.D5.D4.D2.D.D2.D70.D5.D5.D2.D.D2.D97.D3.5D3.D2.
D.D2.D99.D7.D4.D5.D6.D5.D2.D.D2.D69.D3.D3.D3.D2.D.D2.D74.D4.D6.D2.D.D
2.D45.D3.D.D3.D5.2D3.D3.D.D3.D2.D6.D3.D.D3.D.D9.D$19.D3.D3.D2.D.D2.D
58.D4.D2.D.D2.D122.D6.D2.D.D2.D46.D3.D3.D2.D.D2.D57.D4.D2.D.D2.D63.4B
22.D3.D3.D2.D.D2.D69.D3.D3.D2.D.D2.D97.D7.D2.D.D2.D63.D3.D2.D.D2.D88.
D3.D3.D3.D2.D.D2.D76.D3.D3.D3.D2.D.D2.D60.D6.D4.D2.D.D2.D51.D3.D3.D3.
D2.D.D2.D76.D3.D7.D2.D.D2.D82.D3.D3.D3.D2.D.D2.D76.D7.D3.D2.D.D2.D48.
3D3.3D6.3D3.3D3.3D9.5D2.3D2.D3.D2.4D52.D6.D4.D2.D.D2.D69.D5.D6.D2.D.D
2.D96.D7.D4.D2.D.D2.D98.D4.D3.D9.D6.D.D4.D2.D.D2.D68.D4.D3.D3.D2.D.D
2.D73.D4.D7.D2.D.D2.D45.D5.D3.D6.D3.D3.D.D2.2D13.D.D3.D.D.2D3.4D$20.
3D4.D2.D2.3D57.3D3.D2.D2.3D121.5D3.D2.D2.3D47.3D4.D2.D2.3D57.D4.D2.D
2.3D64.4B22.3D4.D2.D2.3D70.3D4.D2.D2.3D97.D7.D2.D2.3D60.3D4.D2.D2.3D
87.3D3.3D4.D2.D2.3D75.3D3.3D4.D2.D2.3D59.3D5.D4.D2.D2.3D50.3D3.3D4.D
2.D2.3D75.3D2.D7.D2.D2.3D81.3D3.3D4.D2.D2.3D75.3D3.3D4.D2.D2.3D161.5D
2.3D3.D2.D2.3D68.5D.5D3.D2.D2.3D95.5D4.D4.D2.D2.3D97.5D2.3D9.5D2.D3.D
3.D2.D2.3D67.5D2.3D4.D2.D2.3D72.5D.D7.D2.D2.3D45.D5.4D7.D4.3D2.D.D.D
12.D3.4D.2D2.D.D3.D$445.4B1731.D5.D10.D3.D3.D.2D2.D11.D7.D.D3.D.D3.D$
446.4B515.A1214.D3.D.D10.D3.D3.D.D3.D10.D8.D.D3.D.D3.D$447.4B399.E
113.A.A120.C1093.3D2.D9.3D3.3D3.3D10.5D2.3D2.D3.D2.4D$446.E.4B399.E
103.2A7.A.A118.C.C$444.E.EB.4B280.C115.3E102.B2AB5.2A.3A55.2B60.2C$
445.2E2B.4B280.C105.4B6.4B94.2A5.3B6.B4.A54.3B$446.4B.4B102.2A.A171.
3C106.4B6.4B92.B2AB2.B2.B5.B2AB3A55.4B$232.A141.2A.A69.4B.4B97.2A.A2.
2A183.2D96.4B6.4B91.14B.B2A.A58.4B259.E$231.A.A69.2A65.2A.A2.2A70.4B.
4B17.2A57.E19.A3.A185.2D2B96.4B6.4B91.17B61.4B257.2BE923.2A$211.2D17.
A.A2.AB65.B2AB44.E19.A3.A74.4B.4B13.2A2.A58.E20.2A.2A.A183.D2B11.A84.
4B6.4B89.17B52.E10.4B256.3EB268.E654.3A$210.2D2B14.3A2.2A.AB.B63.2B
46.E20.2A.2A.A71.4B.4B13.A.A57.3EB11.2A2.4A.A.A.2A177.B5.4B8.3A85.4B
6.4B87.18B53.E10.4B256.4B181.4B81.2BE651.A4.A2.2A$211.BD2B12.A3.2A2.B
A2B2A30.A30.2B45.3EB11.2A2.4A.A.A.2A72.4B.4B11.A2.2A11.A45.4B10.A2.A.
A2.3B180.3B5.4B6.A89.4B6.4B58.EB25.8BA11B50.3EB10.4B70.2A184.4B181.4B
80.3EB232.B5.B409.3A.2A.A3.A$101.2A109.BA2B12.3A2.3AB.B2A31.A28.4B45.
4B10.A2.A.A2.3B77.4B.4B10.A.A2.B8.3A46.4B10.A.A.3B.B119.2A.A58.4B5.4B
5.2A89.4B6.4B57.B2E21.AB.7BABA10B51.4B10.4B68.B2AB5.2B177.4B181.4B21.
A58.4B230.9B213.2BA184.2D5.A4.A.A.3A$101.A111.BA2B13.A.A2.2B2.B11.C
18.3A27.5B46.4B10.A.A.3B.B79.4B.4B2.B7.A.2AB7.A50.4B10.A.A6B3.2A109.
2A.A2.2A59.4B5.4B2.4B90.4B6.4B56.2E2B19.A.A8BA2BA8B53.4B10.4B67.3B6.
3B177.4B181.4B18.3A59.4B224.AB3.9B3.BA208.ABAB182.2D2B5.3A.B.A.A$98.B
A.A110.3A3B12.BABAB14.3C49.5B46.4B10.A.A6B3.2A74.4B.8B7.A.2B6.2A50.4B
10.AB.2B2AB3.A110.A3.A63.4B5.4B.2B86.2A5.4B6.4B13.A42.4B18.2A.9B2A8B
55.4B10.4B67.B.B5.4B177.4B102.2B77.4B16.A63.4B213.2D7.A.A2B.9B.2BA.A
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11.4B$742.4B3.8B7.A1013.4B228.4B7.3A12.4B$743.4B.9B5.3A1014.4B228.4B
5.A16.4B.B$743.15B3.A1018.4B228.4B4.2A16.6B$740.2B.17B.2A1018.4B220.
2A6.9B17.6B8.2B$555.B7.2A174.2A22B1019.4B220.A7.6B13.4B2.7B3.7B$554.
3B6.A175.2AB.18B1022.4B23.2B194.A.2A5.6B3.B2.2B2.26B$550.BA2.4B2.BA.A
176.B.20B1001.E20.4B22.BA2B193.A2.A4.43B$549.ABAB2.4B.B2A180.18B.B
999.2BE20.4B20.BABA2B193.2AB3.44B.3B$550.2A2B2.5B183.20B998.3E21.4B
18.2BABA2B194.14B2A13B2A22B$551.9B184.20B999.4B20.4B17.3BA3B195.13B2A
13B2A21B2A$552.11B182.18B1001.4B20.4B15.7B197.48B.B2A$553.7B2A3B181.
5B2A11B1001.4B20.4B15.7B196.17B.B5.23B3.B$554.6B2A3B2A179.5B2A12B
1001.4B20.4B15.7B2.3B9.2A180.15B10.B2.18B$555.9BA2BA179.19B1001.4B20.
4B14.13B.2B5.A181.15B13.17B$556.5B4.2B181.18B1002.4B20.4B6.A7.18BA.A
182.13B14.16B4.2A$557.2B7.2BA180.17B1003.4B20.4B5.3A4.19B2A185.13B12.
6B2.9B3.A$550.2A4.2B7.A2BA180.18B539.B463.4B20.4B7.A2.20B186.8B4.2A.A
6.2A3.5B4.6B5.A$550.A2.B.B2AB6.B2AB2A179.16B540.2B463.4B20.4B5.2A2.
20B186.6B6.2AB3A3.A.A3.4B6.4B5.2A$10.A540.3A2B2A7.B.B3A180.16B539.3B
25.2A436.4B20.4B4.24B186.5B8.B4.A2.A17.7B2.2A$.E8.3A8.2A530.AB.B10.2B
A182.15B.BA536.4B24.A438.4B20.4B5.21B187.B.B9.2A.3A2.2A19.2A.4A2.A$2B
E10.A6.B2AB527.2A199.16BA.A536.4B20.A4.A2.2A433.4B20.4B3.22B188.3B9.A
.A24.ABABAB.B.2A$3EB8.2A7.3B6.2A519.A201.13B.2BA538.4B19.5A.A2.A434.
4B10.A9.19B3.B.3B188.B2AB9.A.A24.A.A.A.2A.A$.4B7.5B5.B6.A.A3.A516.A
16.2A183.11B3.B525.B14.4B4.2A16.B.2A.A.2A432.4B7.3A10.19B196.2A11.A
23.3A.ABA.A2.A$2.4B8.4B2.5B4.A4.A.A514.2A16.2A183.7B532.2BA14.4B4.A
10.4AB3AB2.A2.A433.4B5.A14.18B232.A3.ABA.A2.A.2A$3.4B6.13B2.2A4.A.A
717.8B.2B528.ABAB14.4B3.A.AB7.A2.A.A3B2A.A253.2A.A179.4B4.2A14.17B
232.2A2.A.A.A.2A.A$4.4B4.14B2.B4.2A.3A715.5B2A3B2A528.2A2B10.A3.4B3.
2AB.3B4.7B2.A.2A248.2A.A2.2A172.2A6.9B14.17B237.2A.A2.A2.A$5.4B3.17B
5.B4.A714.5B2A3B2A529.4B7.3A4.4B4.7B3.7B.A231.C19.A3.A176.A7.6B14.20B
240.2A2.2A$6.4B2.18B2.B2AB3A715.9B.B531.4B5.A8.4B3.16B.2A230.2BC20.2A
.2A.A172.A.2A5.6B3.B2.2B2.22B$7.4B.21B2A.A716.9B535.4B4.2A8.4B3.15B
233.3CB11.2A2.4A.A.A.2A173.A2.A4.37B$8.25B718.A.2AB.3B530.2A6.9B9.4B.
16B234.4B10.A2.A.A2.3B178.2AB3.38B$2.2A5.24B544.D171.3AB2AB.5B529.A7.
6B12.20B235.4B10.A.A.3B.B180.14B2A16B.10B$3.A5.24B531.D12.D.D168.A4.B
6.2A529.A.2A5.6B3.B2.2B2.20B237.4B10.A.A6B3.2A175.13B2A16B2.7B$3.A.AB
2.5BD19B.2B540.D171.3A.2A5.A531.A2.A4.35B239.4B10.AB.2B2EB3.A177.29B
3.7B$4.2AB.5B2D10B.12B502.4D2.4D3.4D2.4D.D2.3D4.4D.D2.3D166.2A2.A5.3A
529.2AB3.27B.7B241.4B12.2B2E6.A175.17B.B.2B10.7B$6.7BDBD22B.B499.D3.D
2.D3.D2.D2.D2.D4.D.D3.D2.D3.D.D.D172.2A7.A530.14B2A16B2.7B241.4B10.5B
2.5A176.15B4.3B10.4B212.D2.D3.3D3.3D2.D$6.33B2A498.D3.D2.D3.D2.D.D3.D
4.D.D3.D2.D3.D.D.D713.13B2A16B2.8B241.4B9.7BA180.15B5.A2B.2A7.5B209.D
2.2D2.D3.D.D3.D2.D$6.33B2A498.D3.D2.D3.D2.D5.D4.D.D3.D2.D3.D.D.D714.
31B2.7B242.4B7.7B4.2A177.13B5.A.A2B.A10.2A208.D4.D2.D2.2D.D3.D3.D$7.
33B500.4D2.4D3.4D2.D4.D2.3D4.4D.D2.3D711.17B.B.2B6.12B243.4B6.7B4.A
180.13B2.A.AB2.A11.A209.D4.D2.D.D.D2.3D4.D$8.32B506.D750.15B4.3B6.11B
4.B239.4B5.6B2.BA.A179.8B4.2A.A.A3.A13.3A206.D4.D2.2D2.D.D3.D3.D$7.
31B508.D750.15B5.A2B.2A3.12B.3B.2B236.4B4.7B.B2A180.6B6.2ABA2.4A.A13.
A207.D3.D2.D3.D.D3.D2.D$7.31B508.D751.13B5.A.A2B.A4.18B8.2A227.4B3.9B
6.A175.5B8.B2.A.A3.A.A221.D.3D2.3D3.3D2.D$6.33B507.D199.D2.3D3.3D3.3D
2.D533.13B2.A.AB2.A5.19B7.A229.4B.10B4.3A175.B.B9.2A.2A2.A2.A.A$7.31B
707.D2.D3.D.D3.D.D3.D2.D531.8B4.2A.A.A3.A7.18B4.BA.A229.15B3.A179.3B
9.A.A2.2A3.A$7.6B.B.13B.B.6B706.D7.D.D2.2D5.D3.D530.6B6.2ABA2.4A.A5.
21B.B2A227.2B.17B.2A177.B2AB9.A.A$10.2B4.5B2A6B4.2B709.D6.D2.D.D.D4.D
4.D530.5B8.B2.A.A3.A.A5.18B2A2B228.2A22B178.2A11.A$17.4B2A2.3B716.D5.
D3.2D2.D3.D5.D530.B.B9.2A.2A2.A2.A.A6.11B3.B.BA.AB218.B9.2AB.18B$16.
7B722.D3.D4.D3.D2.D5.D532.3B9.A.A2.2A3.A10.8B7.2A219.2B9.B.20B$16.5B
725.D.5D2.3D2.5D.D532.B2AB9.A.A16.10B228.3B11.18B.B$16.4B1280.2A11.A
16.11B.B226.4B11.20B$16.2B2AB1309.13BA226.4B10.20B$18.2A1312.10BA.A
226.4B10.18B$1332.9B.BA228.4B10.5B2E10B186.D2.D2.5D2.3D2.D$1333.8B
232.4B9.5B2E10B185.D2.2D6.D.D3.D2.D$1333.8B233.4B9.15B2.B2E180.D4.D5.
D2.D2.2D3.D$1334.6B235.4B9.15B.B2E.2B177.D4.D4.D3.D.D.D3.D$1335.3B.B
2A234.4B9.20B2A176.D4.D3.D4.2D2.D3.D$1339.BA.A234.4B8.20B2A177.D3.D2.
D5.D3.D2.D$1342.A235.4B8.17B.2B179.D.3D.D6.3D2.D$1342.2A235.4B8.15B$
1580.4B8.14B$1581.4B7.13B$1582.4B7.10B$1583.4B6.10B$1584.4B6.8B$1585.
4B5.8B$1314.D2.D4.3D3.3D2.D252.4B.10B$1313.D2.2D3.D3.D.D3.D2.D252.5BD
8B$1312.D4.D7.D.D3.D3.D252.4B3D6B$1312.D4.D6.D3.3D4.D253.4BD6B$1312.D
4.D5.D3.D3.D3.D254.10B$1313.D3.D4.D4.D3.D2.D252.12B$1314.D.3D2.5D2.3D
2.D252.2A11B$1586.2A11B$1587.12B$1591.6B.B2A$1591.5B2.BA.A$1589.5B7.A
$1589.2A10.2A$1303.D2.D3.3D3.3D11.D3.5D2.3D2.D243.A$1302.D2.2D2.D3.D.
D3.D9.2D3.D5.D3.D2.D239.3A$1301.D4.D6.D.D2.2D10.D3.D5.D2.2D3.D238.A$
1301.D4.D4.2D2.D.D.D2.5D3.D4.3D2.D.D.D3.D$1301.D4.D6.D.2D2.D10.D7.D.
2D2.D3.D$1302.D3.D2.D3.D.D3.D10.D3.D3.D.D3.D2.D$1303.D.3D2.3D3.3D10.
3D3.3D3.3D2.D4$1583.D2.D3.3D3.3D2.D$1582.D2.2D2.D3.D.D6.D$1581.D4.D2.
D2.2D.D7.D$1314.D2.3D4.D3.3D2.D247.D4.D2.D.D.D.4D4.D$1313.D2.D3.D2.2D
2.D3.D2.D246.D4.D2.2D2.D.D3.D3.D$1312.D7.D3.D2.D3.D3.D246.D3.D2.D3.D.
D3.D2.D$1312.D6.D4.D3.3D4.D247.D.3D2.3D3.3D2.D$1312.D5.D5.D2.D3.D3.D$
1313.D3.D6.D2.D3.D2.D$1314.D.5D2.3D2.3D2.D!
Edit:
I realize that all the 180° with odd hd are CP and all the 180° with even hd are CC.
Updated the collection with the CP 180° 29hd.

Edit2:
Added missing RTs.


Edit3 May 18:
Always with the same start, I found a new CC 90° Glider reflector (RTs : 108, 110-111, 130-222, 260).
The input and output lanes are crossing themselves (understanding the RTs) and the 'crossing point' is outside the bounding box.

Code: Select all

x = 50, y = 110, rule = LifeHistory
12.3D3.3D7.3D3.3D3.D$11.D3.D.D3.D5.D3.D.D3.D.D.D$11.D5.D9.D3.D.D2.2D
2.D$11.D5.D10.4D.D.D.D$11.D5.D13.D.2D2.D$11.D3.D.D3.D9.D.D3.D$12.3D3.
3D7.3D3.3D5$19.A13.2A$19.3A11.A.A$22.A13.A2.2A$21.A.A7.4A.A3.A$15.A5.
A.AB5.A2.A.A.3A$15.3A4.A3B4.2A2.BA.A$18.A5.3B7.BABAB3A$17.2A5.3B7.2B
2A.A2.A$17.4B3.4B.B2.7B2.2A$19.2B2.13B$18.19B$18.19B$18.19B$18.17B.B
2A$18.17B.BA.A$16.2A16B5.A$15.A.A17B4.2A$15.A4.16B$14.2A5.11B.B2A.A$.
C19.11B.B2AB3A$2BC17.12B3.B4.A$3CB15.12B3.2A.3A$.4B13.12B5.A.A$2.4B
11.13B5.A.A$3.4B9.4B2.7B7.A$4.4B7.4B2.2B2E4B$5.4B5.4B3.BE2BE3B$6.4B3.
4B4.2B2E4B.B$7.4B.4B6.11B$8.7B8.12B4.B$9.5B8.15B.B2A$9.5B8.17B2A$8.7B
6.17B.B$7.4B.4B5.15B$6.4B3.4B3.10B2.4B$5.4B5.4B2.10B3.B$4.4B7.4B.10B$
3.4B7.17B$2.4B7.19B$.4B7.20B$4B7.22B$3B9.22B5.A$2B10.22B3.3A$B13.20B
2.A$15.17B.BA2.A$16.18B4A$19.15B$20.4B2E5B2.B2A$18.5B.2E.4B4.A$18.2A
8.2B5.A.2A$19.A7.2A2B.2A.A2.A$16.3A7.AB.A2B.A.2A$16.A8.A.2AB2.A$25.A
5.A$26.6A.A$28.A3.A.A$31.A2.A$32.2A4$15.D3.D4.3D3.3D2.D$14.D3.2D3.D3.
D.D3.D2.D$13.D5.D3.D2.2D.D3.D3.D$13.D5.D3.D.D.D2.3D4.D$13.D5.D3.2D2.D
.D3.D3.D$14.D4.D3.D3.D.D3.D2.D$15.D2.3D3.3D3.3D2.D4$5.D3.D4.D4.3D10.D
4.D4.D3.D$4.D3.2D3.2D3.D3.D8.2D3.2D3.2D4.D$3.D5.D4.D3.D2.2D9.D4.D4.D
5.D$3.D5.D4.D3.D.D.D.5D3.D4.D4.D5.D$3.D5.D4.D3.2D2.D9.D4.D4.D5.D$4.D
4.D4.D3.D3.D9.D4.D4.D4.D$5.D2.3D2.3D3.3D9.3D2.3D2.3D2.D4$4.D3.D3.3D3.
3D9.3D3.3D3.3D2.D$3.D3.2D2.D3.D.D3.D7.D3.D.D3.D.D3.D2.D$2.D5.D6.D.D2.
2D11.D5.D5.D3.D$2.D5.D4.2D2.D.D.D.5D4.D5.D5.D4.D$2.D5.D6.D.2D2.D9.D5.
D5.D5.D$3.D4.D2.D3.D.D3.D8.D5.D5.D5.D$4.D2.3D2.3D3.3D8.5D.5D.5D.D5$
15.D2.3D3.3D3.3D2.D$14.D2.D3.D.D3.D.D3.D2.D$13.D7.D.D5.D2.2D3.D$13.D
6.D2.4D2.D.D.D3.D$13.D5.D3.D3.D.2D2.D3.D$14.D3.D4.D3.D.D3.D2.D$15.D.
5D2.3D3.3D2.D!
Alone we go faster … Together we go further …
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User avatar
Tawal
Posts: 849
Joined: October 8th, 2023, 7:20 am
Location: Mælar

Re: Stable glider reflector

Post by Tawal » June 30th, 2025, 9:16 am

From G-to-X (January 2024),

new 90° CC (170)

Code: Select all

x = 45, y = 74, rule = LifeHistory
6.3D3.3D3.D7.3D3.3D$5.D3.D.D3.D.D.D5.D3.D.D3.D$5.D3.D.D2.2D2.D6.D5.D$
6.4D.D.D.D9.D5.D$9.D.2D2.D9.D5.D$9.D.D3.D9.D3.D.D3.D$6.3D3.3D11.3D3.
3D9$.C20.2A$2.C19.A8.A$3CB15.2A.A6.3A$.4B14.A.A6.A$2.4B8.A.2A.A8.2A$
3.4B7.2A.A.2A4.5B$4.4B10.6B.3B$5.4B11.10B$6.4B10.10B$7.4B9.10B$8.4B5.
AB.14B$9.4B3.A.A17B$10.4B3.A.18B$11.4B3.20B$12.4B4.18B2.B$13.4B3.20B
2A$14.4B.13B2.B.A3B2A$15.16B4.ABAB.B$16.15B5.AB$16.14B$15.13B$14.14B$
13.4B2.10B$12.4B3.12B9.2A$11.4B4.13B8.A$10.4B5.14B4.2A.A$9.4B5.7B2A7B
3.A.A.2A.A$8.4B5.7BA2BA7B3.B2.A.2A$7.4B5.8BA2BA7B2.3B.A$6.4B6.3B.5B2A
11B2A.A$5.4B5.2AB4.17BA.A$4.4B5.A.AB3.17B.BA$3.4B6.A6.17B$2.4B6.2A5.
16B$.4B14.16B$.3B13.2A15B$.2B9.2A2.A2BA4.10B$.B7.A2.A3.BABA4.10B$8.A.
A.A.4BA6.5B2.B$9.A2.A.2AB8.3B$12.A.BAB6.4B$13.A4.A2.A.2A$14.8AB2A$23.
B$16.2A2.2A.2A$16.2A3.A.A$21.A.A$22.A5$13.D2.D2.5D2.3D2.D$12.D2.2D6.D
.D3.D2.D$11.D4.D5.D2.D2.2D3.D$11.D4.D5.D2.D.D.D3.D$11.D4.D4.D3.2D2.D
3.D$12.D3.D4.D3.D3.D2.D$13.D.3D3.D4.3D2.D!
new 0° 27hd CC (153)

Code: Select all

x = 50, y = 77, rule = LifeHistory
8.3D3.D7.3D2.5D.D9.D$7.D3.D.D.D5.D3.D5.D.D9.D$7.D2.2D2.D10.D4.D2.D.2D
3.4D$7.D.D.D12.D4.D3.2D2.D.D3.D$7.2D2.D11.D4.D4.D3.D.D3.D$7.D3.D10.D
4.D5.D3.D.D3.D$8.3D10.5D.D5.D3.D2.4D8$35.A$35.3A$38.A2.2A$26.2A5.3ABA
.A2.A$18.2A5.B2AB3.A2.A.A.2A4.A$.B17.A5.B.2B3.2A2.BAB2.5A$3B16.A.AB2.
3B8.B4A$4B16.2AB.6B6.B.B.B3A$.3BC17.9B5.B4AB.A$2.3BC17.8B2.2B.BAB2.2A
$3.3CB13.17B.3A$4.4B11.18B3.A$5.4B11.16B4.A.A$6.4B10.17B4.2A$7.4B8.
19B$8.4B7.20B$9.4B7.20B$10.4B6.21B$11.4B5.17B.4B$12.4B4.18B.4B$13.4B
4.17B2.4B$14.4B3.9B2.3B.B4.4B$15.15B2.3B7.4B$16.13B4.B9.4B$17.10B17.
4B$17.10B18.4B$18.10B18.4B$18.12B9.2A6.3B$18.13B8.A8.2B$18.14B4.2A.A
9.B$17.7B2A7B3.A.A.2A.A$16.7BA2BA7B3.B2.A.2A$15.8BA2BA7B2.3B.A$15.3B.
5B2A11B2A.A$13.2AB4.17BA.A$12.A.AB3.17B.BA$12.A6.17B$11.2A5.16B$18.
16B$16.2A15B$11.2A2.A2BA4.10B$8.A2.A3.BABA4.10B$7.A.A.A.4BA6.5B2.B$8.
A2.A.2AB8.3B$11.A.BAB6.4B$12.A4.A2.A.2A$13.8AB2A$22.B$15.2A2.2A.2A$
15.2A3.A.A$20.A.A$21.A5$17.D2.D2.5D2.3D2.D$16.D2.2D2.D5.D3.D2.D$15.D
4.D2.D9.D3.D$15.D4.D3.3D4.2D4.D$15.D4.D6.D5.D3.D$16.D3.D2.D3.D.D3.D2.
D$17.D.3D2.3D3.3D2.D!
EDITed by dvgrn: The 27hd shifter was identified as "[e.g. CP]", but any shifter that moves a glider an odd number of lanes is going to be color-changing.
Alone we go faster … Together we go further …
Avatar's pattern
My Sandbox
Bom-Bom
ℝ - ℕ = ℝ or ℕ ⊄ ℝ

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