Interchange: Difference between revisions

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Interchanges can be hassled, although not that many are known because the interchange doesn't expand as much as several more common sequences like the [[R-pentomino]] or [[Pi-heptomino]].
Interchanges can be hassled, although not that many are known because the interchange doesn't expand as much as several more common sequences like the [[R-pentomino]] or [[Pi-heptomino]].


{|
{{gallery top}}
|{{EmbedViewer
{{gallery item|{{EmbedViewer
|rle          = x = 38, y = 28, rule = B3/S23
|rle          = x = 38, y = 28, rule = B3/S23
25b2o$22b2o2bo$22bo3bobo$23b3obobo$27bobo$3bo17b4ob2obob2o$2bobo15bo6b
25b2o$22b2o2bo$22bo3bobo$23b3obobo$27bobo$3bo17b4ob2obob2o$2bobo15bo6b
Line 53: Line 53:
|caption      = p9, found by [[David Raucci]] on January 24, {{year|2022}}
|caption      = p9, found by [[David Raucci]] on January 24, {{year|2022}}
|apgcode      = xp9_y18kkjap5q88q5pajkk8zy410125cc52101zy4gjlk4w4kljgzy3haaqirrrriqaahz0c4o0eh2hy6h2he0o4cz32alkmmgo0155225510ogmmkla23zy166x681hh4y166zya7
|apgcode      = xp9_y18kkjap5q88q5pajkk8zy410125cc52101zy4gjlk4w4kljgzy3haaqirrrriqaahz0c4o0eh2hy6h2he0o4cz32alkmmgo0155225510ogmmkla23zy166x681hh4y166zya7
}}
}}}}
|{{EmbedViewer
{{gallery item|{{EmbedViewer
|rle          = x = 22, y = 24, rule = B3/S23
|rle          = x = 22, y = 24, rule = B3/S23
3b2o12b2o$3b2o12b2o2$b6o8b6o$o6bo6bo6bo$2o3b2o8b2o3b2o$4bo12bo2$3b3o
3b2o12b2o$3b2o12b2o2$b6o8b6o$o6bo6bo6bo$2o3b2o8b2o3b2o$4bo12bo2$3b3o
Line 64: Line 64:
|caption      = p16 pre-interchange hassler, found by [[Carson Cheng]] on October 8, {{year|2022}}
|caption      = p16 pre-interchange hassler, found by [[Carson Cheng]] on October 8, {{year|2022}}
|apgcode      = xp16_g88bb88gy2g88bb88gz11wt11y411tw11zbdwvw846ee648wvwdbzo8wb88hy2h88bw8oz011dd11y411dd11
|apgcode      = xp16_g88bb88gy2g88bb88gz11wt11y411tw11zbdwvw846ee648wvwdbzo8wb88hy2h88bw8oz011dd11y411dd11
}}
}}}}
|-
{{gallery item|{{EmbedViewer
|{{EmbedViewer
|rle          = x = 28, y = 27, rule = B3/S23
|rle          = x = 28, y = 27, rule = B3/S23
12bob2o4b2obo$12b2o2bo2bo2b2o$10b2o3bo4bo3b2o$bo2bo4bo3b2ob4ob2o3bo$4b
12bob2o4b2obo$12b2o2bo2bo2b2o$10b2o3bo4bo3b2o$bo2bo4bo3b2ob4ob2o3bo$4b
Line 77: Line 76:
|caption      = p18, found by [[David Raucci]] on October 3, {{year|2021}} and reduced by [[Matthias Merzenich]] the next day
|caption      = p18, found by [[David Raucci]] on October 3, {{year|2021}} and reduced by [[Matthias Merzenich]] the next day
|apgcode      = xp18_ggc2sgyajjgz694r2a3sy333w7611gzci4r8ao7x44244y0okno3ckz116871y111211xv0i0u1i1zy0ccb7w66y316aq6hcbzy166yb121
|apgcode      = xp18_ggc2sgyajjgz694r2a3sy333w7611gzci4r8ao7x44244y0okno3ckz116871y111211xv0i0u1i1zy0ccb7w66y316aq6hcbzy166yb121
}}
}}}}
|{{EmbedViewer
{{gallery item|{{EmbedViewer
|rle          = x = 43, y = 41, rule = B3/S23
|rle          = x = 43, y = 41, rule = B3/S23
5bo32bo$5bo32bo$5bo32bo$7b2o3bo18bo3b2o$b3o3b2o3b2o16b2o3b2o3b3o$14bo
5bo32bo$5bo32bo$5bo32bo$7b2o3bo18bo3b2o$b3o3b2o3b2o16b2o3b2o3b3o$14bo
Line 90: Line 89:
|caption      = p38, found by [[cvojan]] on April 20, {{year|2022}} based on a partial by [[David Raucci]]
|caption      = p38, found by [[cvojan]] on April 20, {{year|2022}} based on a partial by [[David Raucci]]
|apgcode      = xp38_sgh11yp11hgszw33y031e8yb8e13y033zw3356y3gy3gy76533zy82251g06511zybijzwookcy63y174y5ckoozwooy0oge2y3gg071gy6ooz71hggy86221w22510g8oxggh17zyn23
|apgcode      = xp38_sgh11yp11hgszw33y031e8yb8e13y033zw3356y3gy3gy76533zy82251g06511zybijzwookcy63y174y5ckoozwooy0oge2y3gg071gy6ooz71hggy86221w22510g8oxggh17zyn23
}}
}}}}
|-
{{gallery item|{{EmbedViewer
|{{EmbedViewer
|rle          = x = 30, y = 24, rule = B3/S23
|rle          = x = 30, y = 24, rule = B3/S23
7bo14bo$2o4bobo12bobo4b2o$obo4bo14bo4bobo$2bo24bo$2b3o20b3o$5bo18bo$2b
7bo14bo$2o4bobo12bobo4b2o$obo4bo14bo4bobo$2bo24bo$2b3o20b3o$5bo18bo$2b
Line 103: Line 101:
|caption      = p40 interchange which is hassled in a similar fashion to the p84 below, but with stable supports. Incorrectly named "p40 moose honey farm hassler" on Catagolue. Found by Mitchell Riley.
|caption      = p40 interchange which is hassled in a similar fashion to the p84 below, but with stable supports. Incorrectly named "p40 moose honey farm hassler" on Catagolue. Found by Mitchell Riley.
|apgcode      = xp40_62sgw252y8252wgs26zoge21x75596y069557x12egozggymggz10nk8xeaa96y069aaex8kn01z643x4a4y84a4x346
|apgcode      = xp40_62sgw252y8252wgs26zoge21x75596y069557x12egozggymggz10nk8xeaa96y069aaex8kn01z643x4a4y84a4x346
}}
}}}}
|-
{{gallery item|{{EmbedViewer
|{{EmbedViewer
|rle          = x = 32, y = 33, rule = B3/S23
|rle          = x = 32, y = 33, rule = B3/S23
19b2o$6o8b2o2b2obo5b2o$4o10b2o3bobo5b2o$3bobo15bo$5b2o16bo$2bo2bob2o$b
19b2o$6o8b2o2b2obo5b2o$4o10b2o3bobo5b2o$3bobo15bo$5b2o16bo$2bo2bob2o$b
Line 117: Line 114:
|caption      = p42 that alternates between an interchange and a [[pentadecathlon]], found by [[Period1GliderGun]] on May 2, {{year|2024}}
|caption      = p42 that alternates between an interchange and a [[pentadecathlon]], found by [[Period1GliderGun]] on May 2, {{year|2024}}
|apgcode      = xp42_x66xg0e172w66y3gq2e666zxoox20s0ogwooy137830sheczy711y6666745zy977w77zgg8t17j33y1oow8s4oy1ooz134h0u876y8h0az333322y433w2743y133
|apgcode      = xp42_x66xg0e172w66y3gq2e666zxoox20s0ogwooy137830sheczy711y6666745zy977w77zgg8t17j33y1oow8s4oy1ooz134h0u876y8h0az333322y433w2743y133
}}
}}}}
|{{EmbedViewer
{{gallery item|{{EmbedViewer
|rle          = x = 34, y = 17, rule = B3/S23
|rle          = x = 34, y = 17, rule = B3/S23
30bo$28b3o$7b2o18bo$7b2o18b2o$bo30bo$o2bo26bo2bo$o2bo12b2o12bo2bo$2bo
30bo$28b3o$7b2o18bo$7b2o18b2o$bo30bo$o2bo26bo2bo$o2bo12b2o12bo2bo$2bo
Line 127: Line 124:
|caption      = p46, found by Carson Cheng on September 22, {{year|2023}}
|caption      = p46, found by Carson Cheng on September 22, {{year|2023}}
|apgcode      = xp46_8ox7exe7z0123x66y0cczy4gzy299g99zzw33y066xc4ozy1e7x7ex11
|apgcode      = xp46_8ox7exe7z0123x66y0cczy4gzy299g99zzw33y066xc4ozy1e7x7ex11
}}
}}}}
|-
{{gallery item|{{EmbedViewer
|{{EmbedViewer
|rle          = x = 46, y = 50, rule = B3/S23
|rle          = x = 46, y = 50, rule = B3/S23
12bo$12b3o$15bo$14bobobobo$13bob3o3bo$13bobobo2bo$14bo2b2o$15bo2bo$b2o
12bo$12b3o$15bo$14bobobobo$13bob3o3bo$13bobobo2bo$14bo2b2o$15bo2bo$b2o
Line 143: Line 139:
|caption      = p84, found by David Raucci on July 22, {{year|2021}}
|caption      = p84, found by David Raucci on July 22, {{year|2021}}
|apgcode      = xp84_y465wogocb6x66y066x6bcogow56zy4o8w626ckoxooy0ooxokc626w8ozy59oy11yc1y1o9zy6123y5ocwcoy5321zzx3nb0osss8y66cwc6y68ssso0bn3z8e125521yu125521e8zy465wogocb6x66y066x6bcogow56zy4o8w626ckoxooy0ooxokc626w8ozy51y21yc1y21
|apgcode      = xp84_y465wogocb6x66y066x6bcogow56zy4o8w626ckoxooy0ooxokc626w8ozy59oy11yc1y1o9zy6123y5ocwcoy5321zzx3nb0osss8y66cwc6y68ssso0bn3z8e125521yu125521e8zy465wogocb6x66y066x6bcogow56zy4o8w626ckoxooy0ooxokc626w8ozy51y21yc1y21
}}
}}}}
|}
{{gallery bottom}}


== See also ==
== See also ==

Revision as of 21:02, 17 December 2024

Interchange
2b3o4b3o2b2$o12bo$o12bo$o12bo2$2b3o4b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 450 THUMBSIZE 3 ZOOM 30 GPS 2 LOOP 2 ]]
View animated image
View static image
Pattern type Constellation
Number of cells 18
Bounding box 16 × 9
Static symmetry D4_+2
Discovered by Hugh Thompson
Year of discovery 1971

Interchange is a common constellation of six blinkers.

There are two different interchanges; the more common one is displayed to the right. The less common variant has five cells between the left and right halves instead of four.

Two gliders reflected along an axis of symmetry with an even number of rows between them form an interchange. With an odd number of rows, it becomes a bi-block instead.

x = 7, y = 4, rule = B3/S23 3bo$b2ob2o$6bo$o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 4 THUMBSIZE 2 ]]
Unlike most common sequences which require only five or six cells the minimum number of cells needed to form an interchange is seven
(click above to open LifeViewer)
RLE: here Plaintext: here

Hasslers

Interchanges can be hassled, although not that many are known because the interchange doesn't expand as much as several more common sequences like the R-pentomino or Pi-heptomino.


x = 38, y = 28, rule = B3/S23 25b2o$22b2o2bo$22bo3bobo$23b3obobo$27bobo$3bo17b4ob2obob2o$2bobo15bo6b obob2o$2bobo10bo3bobobo5bo$2o2b2o8bobobobo3bo3b2o$bobo6b2o2bobobo6bo$o 2b3o4bobobobob2o11b2o$obo3bo5bobobo2bo5b3o3b2o$bob3obo4bo2bo2bo6b3o4bo $3bo3bo2bob2obo3bo10b5obo$3bo3bo2bob2obo3bo11b3o3bo$bob3obo4bo2bo2bo6b 3o8bo$obo3bo5bobobo2bo5b3o$o2b3o4bobobobob2o$bobo6b2o2bobobo6bo$2o2b2o 8bobobobo3bo3b2o$2bobo10bo3bobobo5bo$2bobo15bo6bobob2o$3bo17b4ob2obob 2o$27bobo$23b3obobo$22bo3bobo$22b2o2bo$25b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 5 THUMBSIZE 2 ]]
p9, found by David Raucci on January 24, 2022
(click above to open LifeViewer)
Catagolue: here
x = 22, y = 24, rule = B3/S23 3b2o12b2o$3b2o12b2o2$b6o8b6o$o6bo6bo6bo$2o3b2o8b2o3b2o$4bo12bo2$3b3o 10b3o$3b3o10b3o$2ob3o2bo4bo2b3ob2o$o2b3o2bo4bo2b3o2bo$bob3o2bo4bo2b3ob o$2ob3o4b2o4b3ob2o$3b3o10b3o$3b3o10b3o2$4bo12bo$2o3b2o8b2o3b2o$o6bo6bo 6bo$b6o8b6o2$3b2o12b2o$3b2o12b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 8 THUMBSIZE 2 ]]
p16 pre-interchange hassler, found by Carson Cheng on October 8, 2022
(click above to open LifeViewer)
Catagolue: here
x = 28, y = 27, rule = B3/S23 12bob2o4b2obo$12b2o2bo2bo2b2o$10b2o3bo4bo3b2o$bo2bo4bo3b2ob4ob2o3bo$4b o5b3obobo2bobob3o$o4bo6bobob4obobo$2o2bobo7bo2b2o2bo$5bob2o6b2o2b2o3$ 5bo2bo$5b2o6b2o$12b4o$11bo4bo$12b4o$13b2o6b2o$19bo2bo3$7b2o2b2o6b2obo$ 6bo2b2o2bo7bobo2b2o$4bobob4obobo6bo4bo$2b3obobo2bobob3o5bo$bo3b2ob4ob 2o3bo4bo2bo$2b2o3bo4bo3b2o$4b2o2bo2bo2b2o$4bob2o4b2obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 9 THUMBSIZE 2 ]]
p18, found by David Raucci on October 3, 2021 and reduced by Matthias Merzenich the next day
(click above to open LifeViewer)
Catagolue: here
x = 43, y = 41, rule = B3/S23 5bo32bo$5bo32bo$5bo32bo$7b2o3bo18bo3b2o$b3o3b2o3b2o16b2o3b2o3b3o$14bo 14bo$13b2o14b2o3$2b2o31b2o$3bo32bo$3o30b3o$o32bo$5bo$6b2o$4b2o6b2o$6bo 3bo4bo$10bo4bo$10bo4bo10b2o$6b2o18bo$5bobo16bobo$5bo18b2o$4b2o10bo4bo$ 16bo4bo$16bo4bo3bo$18b2o6b2o$24b2o$26bo$10bo22bo$8b3o22b3o$7bo28bo$7b 2o26b2o3$13b2o14b2o$14bo14bo$b3o3b2o3b2o16b2o3b2o3b3o$7b2o3bo18bo3b2o$ 5bo32bo$5bo32bo$5bo32bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 19 THUMBSIZE 2 ]]
p38, found by cvojan on April 20, 2022 based on a partial by David Raucci
(click above to open LifeViewer)
Catagolue: here
x = 30, y = 24, rule = B3/S23 7bo14bo$2o4bobo12bobo4b2o$obo4bo14bo4bobo$2bo24bo$2b3o20b3o$5bo18bo$2b 3o20b3o$2bo24bo$obo7bo8bo7bobo$2o7bobo6bobo7b2o$8b2ob2o4b2ob2o$8bo3bo 4bo3bo$8bo3bo4bo3bo$8b2ob2o4b2ob2o$2o7bobo6bobo7b2o$obo7bo8bo7bobo$2b o24bo$2b3o20b3o$5bo18bo$2b3o20b3o$2bo24bo$obo4bo14bo4bobo$2o4bobo12bo bo4b2o$7bo14bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[GPS 23 THUMBSIZE 2 ]]
p40 interchange which is hassled in a similar fashion to the p84 below, but with stable supports. Incorrectly named "p40 moose honey farm hassler" on Catagolue. Found by Mitchell Riley.
(click above to open LifeViewer)
Catagolue: here
x = 32, y = 33, rule = B3/S23 19b2o$6o8b2o2b2obo5b2o$4o10b2o3bobo5b2o$3bobo15bo$5b2o16bo$2bo2bob2o$b o3bob2o14bo$2obo3bo13bo$2obo2bo7b2o3bobo5b2o$2b2o10b2o2b2obo5b2o$3bobo 13b2o$5b4o$3b6o3$13b2o2b2o$13b2o2b2o$13b2o2b2o3$23b6o$23b4o$11b2o13bob o$3b2o5bob2o2b2o10b2o$3b2o5bobo3b2o7bo2bob2o$10bo13bo3bob2o$8bo14b2obo 3bo$23b2obo2bo$8bo16b2o$10bo15bobo$3b2o5bobo3b2o10b4o$3b2o5bob2o2b2o8b 6o$11b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 23 THUMBSIZE 2 ]]
p42 that alternates between an interchange and a pentadecathlon, found by Period1GliderGun on May 2, 2024
(click above to open LifeViewer)
Catagolue: here
x = 34, y = 17, rule = B3/S23 30bo$28b3o$7b2o18bo$7b2o18b2o$bo30bo$o2bo26bo2bo$o2bo12b2o12bo2bo$2bo 12b4o7b2o3bo$6b2o6bo4bo6b2o$2bo3b2o7b4o12bo$o2bo12b2o12bo2bo$o2bo26bo 2bo$bo30bo$5b2o18b2o$6bo18b2o$3b3o$3bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 23 THUMBSIZE 2 ]]
p46, found by Carson Cheng on September 22, 2023
(click above to open LifeViewer)
Catagolue: here
x = 46, y = 50, rule = B3/S23 12bo$12b3o$15bo$14bobobobo$13bob3o3bo$13bobobo2bo$14bo2b2o$15bo2bo$b2o 5b2o26b2o5b2o$2bo5bo6bo3bo12bo4bo5bo$30b3o$16b3o10bo$3b2ob2o21b2o7b2ob 2o2$2bobobobo28bobobobo$bo7bo26bo7bo$o2bo3bo2bo24bo2bo3bo2bo$3o5b3o24b 3o5b3o4$b2o5b2o26b2o5b2o$b2o5b2o7b3o6b3o7b2o5b2o$17b3o6b3o3$17b3o6b3o$ b2o5b2o7b3o6b3o7b2o5b2o$b2o5b2o26b2o5b2o4$3o5b3o24b3o5b3o$o2bo3bo2bo 24bo2bo3bo2bo$bo7bo26bo7bo$2bobobobo28bobobobo2$3b2ob2o21b2o7b2ob2o$ 16b3o10bo$30b3o$2bo5bo6bo3bo12bo4bo5bo$b2o5b2o26b2o5b2o$15bo2bo$14bo2b 2o$13bobobo2bo$13bob3o3bo$14bobobobo$15bo$12b3o$12bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 42 THUMBSIZE 2 ]]
p84, found by David Raucci on July 22, 2021
(click above to open LifeViewer)
Catagolue: here


See also

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