Interchange: Difference between revisions
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{{ | {{Pattern | ||
|name = Interchange | |name = Interchange | ||
|pname = interchange | |pname = interchange | ||
|type = | |type = Constellation | ||
|c = 18 | |c = 18 | ||
|bx = 16 | |bx = 16 | ||
|by = 9 | |by = 9 | ||
| | |symmetry = D4_+2 | ||
| | |discoverer = Hugh Thompson | ||
|discoveryear = 1971 | |||
| | |||
|rulemin = B3/S2 | |rulemin = B3/S2 | ||
|rulemax = B345678/S02345678 | |rulemax = B345678/S02345678 | ||
| Line 21: | Line 20: | ||
|animated = true | |animated = true | ||
|apgcode = xp2_ggg07y270gggzy0ey2e | |apgcode = xp2_ggg07y270gggzy0ey2e | ||
|viewerconfig = #C [[ | |viewerconfig = #C [[ HEIGHT 450 THUMBSIZE 3 ZOOM 30 GPS 2 LOOP 2 ]] | ||
}} | }} | ||
'''Interchange''' is a common constellation of six [[blinker]]s. | '''Interchange''' is a common constellation of six [[blinker]]s. | ||
| Line 29: | Line 28: | ||
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. | 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. | ||
{{EmbedViewer | |||
{ | |pname = interchangepredecessor | ||
| | |viewerconfig = #C [[ GPS 4 THUMBSIZE 2 ]] | ||
| | |||
|position = center | |position = center | ||
|caption = Unlike most common sequences which require only five or six cells the minimum number of cells needed to form an interchange is seven | |||
|caption = Unlike most common sequences | |style = width:300px; | ||
}} | }} | ||
== | == 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]]. | |||
{{gallery top}} | |||
{{gallery item|{{EmbedViewer | |||
|rle = 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! | |||
|position = center | |||
|viewerconfig = #C [[ GPS 5 THUMBSIZE 2 ]] | |||
|caption = p9, found by [[David Raucci]] on January 24, {{year|2022}} | |||
|apgcode = xp9_y18kkjap5q88q5pajkk8zy410125cc52101zy4gjlk4w4kljgzy3haaqirrrriqaahz0c4o0eh2hy6h2he0o4cz32alkmmgo0155225510ogmmkla23zy166x681hh4y166zya7 | |||
}}}} | |||
{{gallery item|{{EmbedViewer | |||
|rle = 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! | |||
|position = center | |||
|viewerconfig = #C [[ GPS 8 THUMBSIZE 2 ]] | |||
|caption = p16 pre-interchange hassler, found by [[Carson Cheng]] on October 8, {{year|2022}} | |||
|apgcode = xp16_g88bb88gy2g88bb88gz11wt11y411tw11zbdwvw846ee648wvwdbzo8wb88hy2h88bw8oz011dd11y411dd11 | |||
}}}} | |||
{{gallery item|{{EmbedViewer | |||
|rle = 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! | |||
|position = center | |||
|viewerconfig = #C [[ GPS 9 THUMBSIZE 2 ]] | |||
|caption = p18, found by [[David Raucci]] on October 3, {{year|2021}} and reduced by [[Matthias Merzenich]] the next day | |||
|apgcode = xp18_ggc2sgyajjgz694r2a3sy333w7611gzci4r8ao7x44244y0okno3ckz116871y111211xv0i0u1i1zy0ccb7w66y316aq6hcbzy166yb121 | |||
}}}} | |||
{{gallery item|{{EmbedViewer | |||
|rle = 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! | |||
|position = center | |||
|viewerconfig = #C [[ GPS 19 THUMBSIZE 2 ]] | |||
|caption = p38, found by [[cvojan]] on April 20, {{year|2022}} based on a partial by [[David Raucci]] | |||
|apgcode = xp38_sgh11yp11hgszw33y031e8yb8e13y033zw3356y3gy3gy76533zy82251g06511zybijzwookcy63y174y5ckoozwooy0oge2y3gg071gy6ooz71hggy86221w22510g8oxggh17zyn23 | |||
}}}} | |||
{{gallery item|{{EmbedViewer | |||
|rle = 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! | |||
|position = center | |||
|viewerconfig = #C [[GPS 23 THUMBSIZE 2 ]] | |||
|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 | |||
}}}} | |||
{{gallery item|{{EmbedViewer | |||
|rle = 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! | |||
|position = center | |||
|viewerconfig = #C [[ GPS 23 THUMBSIZE 2 ]] | |||
|caption = p42 that alternates between an interchange and a [[pentadecathlon]], found by [[Period1GliderGun]] on May 2, {{year|2024}} | |||
|apgcode = xp42_x66xg0e172w66y3gq2e666zxoox20s0ogwooy137830sheczy711y6666745zy977w77zgg8t17j33y1oow8s4oy1ooz134h0u876y8h0az333322y433w2743y133 | |||
}}}} | |||
{{gallery item|{{EmbedViewer | |||
|rle = 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! | |||
|position = center | |||
|viewerconfig = #C [[ GPS 23 THUMBSIZE 2 ]] | |||
|caption = p46, found by Carson Cheng on September 22, {{year|2023}} | |||
|apgcode = xp46_8ox7exe7z0123x66y0cczy4gzy299g99zzw33y066xc4ozy1e7x7ex11 | |||
}}}} | |||
{{gallery item|{{EmbedViewer | |||
|rle = 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! | |||
|position = center | |||
|viewerconfig = #C [[ GPS 42 THUMBSIZE 2 ]] | |||
|caption = p84, found by David Raucci on July 22, {{year|2021}} | |||
|apgcode = xp84_y465wogocb6x66y066x6bcogow56zy4o8w626ckoxooy0ooxokc626w8ozy59oy11yc1y1o9zy6123y5ocwcoy5321zzx3nb0osss8y66cwc6y68ssso0bn3z8e125521yu125521e8zy465wogocb6x66y066x6bcogow56zy4o8w626ckoxooy0ooxokc626w8ozy51y21yc1y21 | |||
}}}} | |||
{{gallery item|{{EmbedViewer | |||
|rle = x = 43, y = 32, rule = B3/S23 | |||
12bo$11bobo$12bo12b2o$25b2o$10b5o$9bo4bo5bo$8bo2bo7bobo$5bo2bob2o8bo$ | |||
4bobobo5bo$5bo2bo4bobo$8b2o2bo2bo$13b2o19b2o4bo$34b2o3b3o$5bo32bob3o$ | |||
4b3o19b2o2b2o5bo3bo$3bob3o3b2o2b2o9b2o2b2o4bo3bo$2bo3bo4b2o2b2o9b2o2b | |||
2o3b3obo$bo3bo5b2o2b2o19b3o$3obo32bo$b3o3b2o$2bo4b2o19b2o$27bo2bo2b2o | |||
$27bobo4bo2bo$28bo5bobobo$22bo8b2obo2bo$21bobo7bo2bo$22bo5bo4bo$28b5o | |||
$16b2o$16b2o12bo$29bobo$30bo! | |||
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 500 ]] | |||
|position = center | |||
|caption = p88, found by Nora Brown on June 6, {{year|2023}}. | |||
|style = width:300px; | |||
|apgcode = xp88_y4g88bap3y0gy066zx4a40vg23gosy0121zxoooy4g088y1753oy233gggeeezeee111ooy23oksy12201y4333zygg8gy0731o81v04a4zybccy01y0ojaq221 | |||
}}}} | |||
{{gallery bottom}} | |||
== Other interactions == | |||
{{EmbedViewer | |||
|rle = x = 11, y = 13, rule = B3/S23 | |||
9bo$8bo$8bo$2o5bo$o7bo$2bob2o2bo$b2obo5bo$2bo3bo$bo2bob3o$b4o4bo$6b3o$ | |||
3b2obo$3bobo! | |||
|position = center | |||
|viewerconfig = #C [[ GPS 8 THUMBSIZE 2 ]] | |||
|caption = A specific and fairly common interchange predecessor, when hitting a specific catalyst, becomes a [[LWSS]]. | |||
}} | |||
== | == See also == | ||
* [[Blinker]] | |||
* [[Traffic light]] | |||
* [[Traffic stop]] | |||
* [[Cap]], one of its predecessors | |||
{{ | == External links == | ||
* {{LinkLexicon|lex_i.htm#interchange}} | |||
* {{LinkCatagolue|xp2_ggg07y270gggzy0ey2e|patternname=Small interchange|format=pseudo-object}} | |||
* {{LinkCatagolue|xp2_s01110szz70ggg07|patternname=Large interchange|format=pseudo-object}} | |||
Latest revision as of 16:33, 23 March 2026
| Interchange | |||||||||
| 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.
| 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.
| p9, found by David Raucci on January 24, 2022 (click above to open LifeViewer) Catagolue: here |
| p16 pre-interchange hassler, found by Carson Cheng on October 8, 2022 (click above to open LifeViewer) Catagolue: here |
| p18, found by David Raucci on October 3, 2021 and reduced by Matthias Merzenich the next day (click above to open LifeViewer) Catagolue: here |
| p38, found by cvojan on April 20, 2022 based on a partial by David Raucci (click above to open LifeViewer) Catagolue: here |
| 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 |
| p42 that alternates between an interchange and a pentadecathlon, found by Period1GliderGun on May 2, 2024 (click above to open LifeViewer) Catagolue: here |
| p46, found by Carson Cheng on September 22, 2023 (click above to open LifeViewer) Catagolue: here |
| p84, found by David Raucci on July 22, 2021 (click above to open LifeViewer) Catagolue: here |
| p88, found by Nora Brown on June 6, 2023. (click above to open LifeViewer) Catagolue: here |
Other interactions
| A specific and fairly common interchange predecessor, when hitting a specific catalyst, becomes a LWSS. (click above to open LifeViewer) |
See also
- Blinker
- Traffic light
- Traffic stop
- Cap, one of its predecessors
External links
- Interchange at the Life Lexicon
- Small interchange at Adam P. Goucher's Catagolue (pseudo-object)
- Large interchange at Adam P. Goucher's Catagolue (pseudo-object)