Turning toads

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Turning toads
x = 37, y = 8, rule = B3/S23 15bo6bo$14b2o5b2o6b2o$6b3obobob2obobob2obobo$2b2obo6bobo4bobo4bobo2bob 2o$o2bobo3bo18b4obo2bo$2obobo27bob2o$3bo29bo$3b2o27b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 12 GPS 2 AUTOSTART LOOP 4 ]]
Pattern type Wick
Period 4
Speed 0
Discovered by Dean Hickerson
Year of discovery 1989

Turning toads is a period-4 wick/oscillator that contains toads that repeatedly flip orientation. It is a p4 toad flipper. It was found by Dean Hickerson in October 1989.[1]

Smaller-bounding-box stabilisation

The configuration at the ends stabilising the p4-hassled flutter rotor may be replaced with a smaller and more volatile one, which protrudes upwards by a single cell (at high displacement), but only a single cell downwards the toads themselves instead of four.

x = 31, y = 6, rule = B3/S23 2bo$2bo9bo6bo7b3o$2b3o6b2o5b2o7b2o$2o2b2obobob2obobob2obobo2b2o2bo$2o2b3o2bobo4bobo4bobo3b2o$25bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 12 GPS 2 AUTOSTART ]]
See also monomer: Catagoluehere
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Catagoluehere

Related p4 toad sucker ('shifting toads')

As well as a turning toad, one end of a flutter may mutually support a toad in a period-4 displacing reaction (acting as a toad sucker). This toad may be used for its domino spark, only occupying four rows beneath it (useful in minimising some patterns' bounding boxes).

x = 24, y = 6, rule = B3/S23 b3o7bo$2b2o7b2obo2b3o2b2o$o2b2o2bobob2obobob2o2b2o$2o3bobo4bo6b3o$5bo15bo$21bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 12 GPS 2 AUTOSTART ]]
trans- stabilisation with mod 2 (rotational glide-symmetry)
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Catagoluehere
x = 24, y = 7, rule = B3/S23 21bo$21bo$b3o7bo7b3o$2b2o7b2obobob2o2b2o$o2b2o2bobob2obo2b3o2b2o$2o3bobo4bo$5bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 12 GPS 2 AUTOSTART ]]
cis- stabilisation, as is used in David Buckingham's 1996 improvement of his p44 glider gun
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Catagoluehere
x = 24, y = 7, rule = DoubleB3S23 21.B$2.C18.B$2.C9.C6.B2CA$2.3C6.2C.B.B.2B2A2B$2C2.2C.C.C.2C.C.A2BCA.BC$2C2.3C2.C.C4.A.A3.2A$18.A! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 12 GPS 2 AUTOSTART ]]
Overlay of turning toad (red) and shifting toad (green)
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x = 38, y = 6, rule = B3/S23 35bo$b3o7bo23bo$2b2o7b2o6bo6bo6b3o$o2b2o2bobob2o5b2o5b2obobob2o2b2o$2o3bobo4bobobob2obobob2obo2b3o2b2o$5bo10bobo4bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 12 GPS 2 AUTOSTART ]]
In this component of the current smallest period-132 glider gun (archived copy), a turning toad is used as a joint between two shifting toads despite only one being used, allowing neither of the ends to protrude downwards. Note that both shifting toads are necessary, even if one is used only once
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Catagoluehere


References

  1. Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.

External links

Adam P. Goucher's Catagolue: