Pre-pre-block

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Pre-pre-block
x = 2, y = 3, rule = B3/S23 2o$bo$o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] #C [[ ZOOM 48 THUMBSIZE 3 GPS 1 AUTOSTART OFF PAUSE 2 T 2 PAUSE 2 LOOP 3 ]]
Pattern type Still life component
Number of cells 4
Bounding box 2 × 3
Discovered by Unknown
Year of discovery Unknown

Pre-pre-block (or hook[note 1]) is a tetraplet (i.e. a polyplet containing four cells). It is a common predecessor to the pre-block (and thus the block). It also appears in some period-2 oscillators, e.g. bipole and almosymmetric, and is the first extension of pre-block.

In some cases, the specific reasons for this being unknown, the pre-pre-block is also known as cape.

The pre-pre-pre-block is a parent of this which sees further use in still lifes.

As a synthetic intermediate

One notable aspect about this particular block grandparent is that it is a key intermediate in glider syntheses of lightweight spaceship and middleweight spaceship. Some earliest MWSS guns was constructed by Bill Gosper and Robert Wainwright in 1971, employing the following productive mechanism where gliders from the northwest and southwest create the pre-pre-block.[1]

x = 22, y = 18, rule = B3/S23 $obo$b2o$bo11$4bo$4b2o13b3o$3bobo13bo$20bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 Z 20 HEIGHT 480 GPS 10 AUTOSTART PAUSE 2 T 23 PAUSE 2 LOOP 60 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here

If the glider from the southeast can interact with the forming pre-pre-block one generation earlier, the result is an LWSS instead of an MWSS. However, this requires a different recipe, such as a glider colliding with a blinker.

x = 23, y = 20, rule = 23/3 10bo$10bo$10bo5$b2o17b2o$obo16b2o$2bo18bo$10bo$10bo$10bo5$b2o17b2o$obo 17bobo$2bo17bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 Z 20 HEIGHT 480 GPS 10 AUTOSTART PAUSE 2 T 24 PAUSE 2 T 25 PAUSE 2 LOOP 60 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here

Notes

  1. The name "hook" is still used when naming some still lifes, such as hook with tail, where a tail stabilizes a pre-pre-block. However, by calling a disconnected part of a still life a hook, one may actually refer to an induction coil bookend; this latter terminology is being phased out as to avert confusion.

References

  1. Robert Wainwright (September 1971). Lifeline, vol 3, page 6.

External links