Mazing

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Mazing
3b2o2b$bobo3b$o5bo$bo3b2o2$3bobob$4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ HEIGHT 600 THUMBSIZE 3 ZOOM 60 GPS 2 X 1 Y 0 ]]
Pattern type Oscillator
Number of cells 12
Bounding box 8 × 8
Frequency class 26.6
Period 4
Mod 2
Heat 14
Volatility 1.00
Strict volatility 0.92
Discovered by David Buckingham
Year of discovery 1973
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Mazing is a period-4 oscillator found by David Buckingham in December 1973.[1] In terms of its 12 cells it is tied with mold as the smallest period 4 oscillator, though mold has a smaller bounding box.

Occurrence

See also: List of common oscillators

Mazing is about the fifteenth most common naturally-occurring oscillator in Achim Flammenkamp's census, being less common than the tripole but more common than the blocker.[2] On Catagolue, it is the second most common period 4 oscillator, being less common than mold but more common than the cloverleaf.[3] In diagonal symmetries, including 8-fold symmetries, it is by far the most common period-4 oscillator.

In other rules

In rules with S4w, a mazing can be perturbed with a dot spark in such a way that it becomes a dot sparker.

x = 18, y = 7, rule = B3/S234w 3b2o9b2o$bobo8bobo$o5bo4bo5bo$bo3b2o5bobob2o2$3bobo8bobo$4bo10bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 585 THUMBSIZE 2 ZOOM 30 GPS 2 AUTOSTART X 1/2 ]]
"Normal" mazing and "sparking" mazing side by side in B3/S234w
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Catagoluehere

In rules with B2i, such as B2i3/S23, the evolution sequence of the barberpole rotor is period-4, and allows mazings to be extended arbitrarily.

x = 31, y = 11, rule = B2i3/S23 22b3o$11b3o8b3o$2b3o6b3o6b2o2b3o$2b3o4b2o2b3o4b2o4bo$2o2b3o2b2o4bo4b3o3b3o$2o7b3o3b3o4bo5bo$3o8bo10b3o3b3o$2bo8b3o10bo$2bo10bo10b3o$13bo12bo$26bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 980 HEIGHT 480 THUMBSIZE 2 ZOOM 30 GPS 2 AUTOSTART X -1/16 ]]
The first three members of an infinite family
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Glider synthesis

All strict still lifes with a population of 21 or fewer cells, all oscillators with 16 or fewer cells, and all spaceships with 31 or fewer cells are known to be glider-constructible. A glider synthesis of this object can be found in the infobox to the right.

Uses as catalyst

x = 13, y = 13, rule = B38/S23 4b2o3b2o$2b3obob2o$bo10bo$bo2b2obo3b2o$2obob2o4bo$o2b2o4bo$bo2bo3bo2bo$3bo4b2o2bo$bo4b2obob2o$2o3bob2o2bo$o10bo$3b2obob3o$2b2o3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 585 THUMBSIZE 2 ZOOM 32 GPS 2 AUTOSTART ]]
two mazings having dinner[n 1]
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Catagoluehere
x = 20, y = 20, rule = B3/S23 19bo$3b2o12b3o$4b2o2bo7bo$bo6b2o6b2o$b2o3bo$2bo7b2ob3o$4bo6bobo2bo$9bobobob2o$2b2o5b2o2bo$3bo3b2o4bo$5bo2bob3o$5b3o2bo$10bo$5b5o$5bo$5bobo$2b2o2b2o$bobo$bo$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 585 THUMBSIZE 2 ZOOM 24 GPS 2 AUTOSTART ]]
The same hassling mechanism, with gutter-preserving cwoozy-half stabilisation (monomerised from tetramer discovered by Charity Engine on 2022-02-18)[4]
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Catagoluehere
x = 22, y = 15, rule = B3/S23 obo$b2o$bo2$4bobo$5b2o$5bo2$8bobo6b2o$9b2o7bobo$9bo5bo5bo$15b2o3bo2$16bobo$17bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 THUMBSIZE 2 ZOOM 32 X 4 Y 4 GPS 2 AUTOSTART LOOP 16 ]]
Mazing can eat a glider, as seen in Simkin's p60
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Charity Engine discoveries

x = 15, y = 15, rule = B3/S23 11bo$3b2o5bobo$bobo4bo$o3bo2bo4b2o$bo3b2o4bobo$5bo3b2o$2bo3bobobo$3bo 7bo$4bobobo3bo$4b2o3bo$bobo4b2o3bo$b2o4bo2bo3bo$6bo4bobo$2bobo5b2o$3bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 585 THUMBSIZE 2 ZOOM 32 GPS 2 AUTOSTART ]]
A highly volatile oscillator comprised of four mazing halves mutually supporting an unnamed active region (occurred in a C4_1 soup on 2022-03-02)[5]
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Catagoluehere
x = 8, y = 25, rule = B3/S23 4b2o$2bobo$bo5bo$2bo3b2o2$4bobo$5bo2$4bo$4b2o$2bob2o2$3o2$2bob2o$4b2o$ 4bo2$5bo$4bobo2$2bo3b2o$bo5bo$2bobo$4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 585 THUMBSIZE 2 ZOOM 20 GPS 2 AUTOSTART ]]
A low-clearance sparker supported by two mazings (can also have them the other way around) (occurred in tetramer form on 2022-05-20)[6]
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Catagoluehere
x = 15, y = 15, rule = B3/S23 5bo5b2o$4bobo2bobo$3bob2obo5bo$2bo2bo3bo3b2o$bo3b2o$ob3o6bobo$b2obo7bo 2$2bo$bobo2$2o3bo$o5bo$3bobo$2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 585 THUMBSIZE 2 ZOOM 32 GPS 2 AUTOSTART ]]
An oscillator in which two mazings hassle an object containing in three of its four phases a cis-fuse with two tails (occurred in dimer form on 2022-12-28)[7]
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Catagoluehere


See also

Notes

  1. name from anonymous Catagolue comment on 2018-11-06

References

External links