Weekender: Difference between revisions
m link to 33G synthesis discovery on Discord |
replaced image with rle in viewer |
||
| Line 34: | Line 34: | ||
==Tagalongs== | ==Tagalongs== | ||
On April 27, 2000, [[Stephen Silver]] found a [[tagalong]] for a pair of weekenders, as shown below. | On April 27, 2000, [[Stephen Silver]] found a [[tagalong]] for a pair of weekenders, as shown below. | ||
{| | |||
| | {{EmbedViewer | ||
|[[ | |rle = bo12bo7bo12bob$bo12bo7bo12bob$obo10bobo5bobo10bobo$bo12bo7bo12bob$bo | ||
12bo7bo12bob$2bo3b4o3bo9bo3b4o3bo2b$6b4o8bo8b4o6b$2b4o4b4o2b5o2b4o4b4o | |||
2b$15bobobobo15b$4bo6bo13bo6bo4b$5b2o2b2o6bobo6b2o2b2o5b$14bo2bobo2bo | |||
14b$14bo2bobo2bo14b$14bobo3bobo14b3$14b2o5b2o14b$14b2o5b2o14b2$16b2ob | |||
2o16b$15bobobobo15b$15bobobobo15b$17bobo17b$15b2o3b2o! | |||
|position = center | |||
|viewerconfig = #C [[ THUMBSIZE 2 ]] | |||
|caption = Two weekenders followed by a tagalong<br /> | |||
}} | |||
On December 6, {{year|2020}}, [[John Winston Garth]] found [[doo-dah]], a small period-21 tagalong for a single weekender, which in its simplest phase consists entirely of two [[R-pentomino]] descendants.<ref name="post114481" /><ref name="post114488" /> The spaceship was found using a combination of [[ikpx2]] and [[apgsearch]], with partial results from the former being inputted into the latter via ikpx2's "standard input" feature, with the goal of searching higher-period spaceships and [[puffer]]s. Garth chose the name "doo-dah" for the tagalong.<ref name="message785223433708503091" /> | On December 6, {{year|2020}}, [[John Winston Garth]] found [[doo-dah]], a small period-21 tagalong for a single weekender, which in its simplest phase consists entirely of two [[R-pentomino]] descendants.<ref name="post114481" /><ref name="post114488" /> The spaceship was found using a combination of [[ikpx2]] and [[apgsearch]], with partial results from the former being inputted into the latter via ikpx2's "standard input" feature, with the goal of searching higher-period spaceships and [[puffer]]s. Garth chose the name "doo-dah" for the tagalong.<ref name="message785223433708503091" /> | ||
Revision as of 16:05, 21 October 2021
| Weekender | |||||||||||
| View animated image | |||||||||||
| View static image | |||||||||||
| Pattern type | Spaceship | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Number of cells | 36 | ||||||||||
| Bounding box | 18 × 12 | ||||||||||
| Direction | Orthogonal | ||||||||||
| Period | 7 (mod: 7) | ||||||||||
| Speed | 2c/7 | 2c/7 | ||||||||||
| Heat | 45.1 | ||||||||||
| Kinetic symmetry | Unspecified | ||||||||||
| Discovered by | David Eppstein | ||||||||||
| Year of discovery | 2000 | ||||||||||
| |||||||||||
| |||||||||||
| |||||||||||
| |||||||||||
Weekender is a 2c/7 orthogonal spaceship that was found by David Eppstein on January 12, 2000.[1] Before the discovery of scholar in 2019, n weekenders pulling n-1 tagalongs constituted the only known spaceships with speed 2c/7, besides self-sustaining loops of weekender conduits. These were the only known period-7 spaceships until the discovery of lobster in 2011, loafer in 2013 and spaghetti monster in 2016.
Despite the relative simplicity of its components, a glider synthesis for the weekender had been elusive since its discovery. A weekender synthesis was completed on January 25, 2015, 15 years after its discovery (and coincidentally, on a weekend).[2] On September 26, 2015, Chris Cain announced a p444 weekender gun based on a 79-glider synthesis, as well as a p451/p457+ glider-to-weekender converter.[3] On September 6, 2021, iNoMed produced a 33-glider recipe based on 35- and 34-glider recipes from a week earlier.
Tagalongs
On April 27, 2000, Stephen Silver found a tagalong for a pair of weekenders, as shown below.
| Two weekenders followed by a tagalong (click above to open LifeViewer) |
On December 6, 2020, John Winston Garth found doo-dah, a small period-21 tagalong for a single weekender, which in its simplest phase consists entirely of two R-pentomino descendants.[4][5] The spaceship was found using a combination of ikpx2 and apgsearch, with partial results from the former being inputted into the latter via ikpx2's "standard input" feature, with the goal of searching higher-period spaceships and puffers. Garth chose the name "doo-dah" for the tagalong.[6]
Soon after, Matthias Merzenich discovered that a component from the side of 186P7H2V0 can attach to a weekender.[7] On March 19, 2021, Merzenich discovered a width-22 symmetric tagalong for a single weekender[8] and proved that this is the only such period-7 symmetric tagalong at that width.[9]
See also
References
- ↑ Jason Summers' jslife pattern collection.
- ↑ Martin Grant (January 25, 2015). Re: Small Spaceship Syntheses (discussion thread) at the ConwayLife.com forums
- ↑ Chris Cain (September 26, 2015). Re: Small Spaceship Syntheses (discussion thread) at the ConwayLife.com forums
- ↑ J. H. Yu (December 6, 2020). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Aidan F. Pierce (December 6, 2020). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ John Winston Garth (December 6, 2020). Message in #cgol on the Conwaylife Lounge Discord server
- ↑ Matthias Merzenich (December 8, 2020). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Matthias Merzenich (March 19, 2021). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Matthias Merzenich (March 21, 2021). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
External links
- Searching for Spaceships - Eppstein's paper describing the discovery of the weekender
- Weekender at the Life Lexicon
- The Weekender (glider 14105) at David Eppstein's Glider Database
- 36P7H2V0.1 at Heinrich Koenig's Game of Life Object Catalogs
- Patterns
- Spaceships with 36 cells
- Periodic objects with minimum population 36
- Patterns with 36 cells
- Patterns found by David Eppstein
- Patterns found in 2000
- Patterns that can be constructed with 33 gliders
- Spaceships
- Spaceships with period 7
- Orthogonal spaceships
- Spaceships with speed 2c/7
- Spaceships with unsimplified speed 2c/7
- Spaceships with heat 45
- Spaceships with mod 7
- Non-monotonic spaceships
- Patterns with bilateral orthogonal symmetry