Difference between revisions of "Speed Orthogonoid"

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A '''Speed Orthogonoid''' is an [[adjustable spaceship]] that can be made to travel arbitrarily close to the [[orthogonal]] [[speed]] limit of [[c/2]], similar to the [[Speed Demonoid]]'s adjustability for [[diagonal]] speeds arbitrarily close to [[c/4]].
A '''Speed Orthogonoid''' is an [[adjustable spaceship]] that can be made to travel arbitrarily close to the [[orthogonal]] [[speed]] limit of [[c/2]], similar to the [[Speed Demonoid]]'s adjustability for [[diagonal]] speeds arbitrarily close to [[c/4]].


On April 1, [[2022]], [[Goldtiger997]] completed a Speed Orthogonoid with a speed of 56000466c/152004592 (approximately c/2.714).<ref name="post143667" /> It it can be adjusted to every orthogonal speed whose simplified velocity has a period which is divisible by 4. The next day, Goldtiger997 posted a 5c/12 (56000490c/134401176) version, a 15c/32 (99027450c/211258560) version, followed by a 3c/8 (56000466c/149334576) version.<ref name="post143701" />. A few days later, Goldtiger997 tweaked the design to make it [[Hashlife]] friendly and removed the velocity restriction.<ref name="post143931" />
On April 1, [[2022]], [[Goldtiger997]] completed a Speed Orthogonoid with a speed of 56000466c/152004592 (approximately c/2.714).<ref name="post143667" /> This initial version can be adjusted to every orthogonal speed whose simplified velocity has a period which is divisible by 4. The next day, Goldtiger997 posted a 5c/12 (56000490c/134401176) version, a 15c/32 (99027450c/211258560) version, followed by a 3c/8 (56000466c/149334576) version.<ref name="post143701" />. A few days later, Goldtiger997 tweaked the design to make it [[Hashlife]] friendly and removed the velocity restriction.<ref name="post143931" />


==Pattern file==
==Pattern file==

Revision as of 08:07, 13 April 2022

A Speed Orthogonoid is an adjustable spaceship that can be made to travel arbitrarily close to the orthogonal speed limit of c/2, similar to the Speed Demonoid's adjustability for diagonal speeds arbitrarily close to c/4.

On April 1, 2022, Goldtiger997 completed a Speed Orthogonoid with a speed of 56000466c/152004592 (approximately c/2.714).[1] This initial version can be adjusted to every orthogonal speed whose simplified velocity has a period which is divisible by 4. The next day, Goldtiger997 posted a 5c/12 (56000490c/134401176) version, a 15c/32 (99027450c/211258560) version, followed by a 3c/8 (56000466c/149334576) version.[2]. A few days later, Goldtiger997 tweaked the design to make it Hashlife friendly and removed the velocity restriction.[3]

Pattern file

An example Speed Orthogonoid can be accessed in mc format with the following link: 3c8-hf.mc

References

  1. Goldtiger997 (April 1, 2022). Re: Make an Omniship (discussion thread) at the ConwayLife.com forums
  2. Goldtiger997 (April 2, 2022). Re: Make an Omniship (discussion thread) at the ConwayLife.com forums
  3. Goldtiger997 (April 7, 2022). Re: Make an Omniship (discussion thread) at the ConwayLife.com forums