17c/45 orthogonal

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17c/45 orthogonal
Spaceship Yes
Puffer Yes
Rake Yes
Wickstretcher No
Gun No

17c/45 orthogonal is an orthogonal speed equal to seventeen forty-fifths of the speed of light.


The first example of a 17c/45 orthogonal spaceship, the caterpillar, was constructed by Gabriel Nivasch with the help of Jason Summers and David Bell. The caterpillar is based on the 17c/45 reaction in which a Pi-heptomino non-destructively climbs a trail of blinkers at speed 17c/45. Another basis for the caterpillar is a 17c/45 helix composed entirely of standard spaceships, that releases a forward glider every 270 generations while moving 102 cells forward. David Bell discovered that interactions between two Pi-crawlers could produce backward gliders, and a long search by Gabriel Nivasch found one that shoots forward gliders. These glider streams are used to create the helix as well as to clean up the blinker trails. Although it is possible to create higher-period 17c/45 spaceships, none have been explicitly constructed. Another 17c/45 helix is known that has a period of 450 and so spaceships with periods that are multiples 450 could, in theory, be constructed.


Due to the pi-crawler's ability to create gliders, creating 17c/45 puffers and rakes is relatively simple.

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