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Old 8th March 2018, 06:46 PM   #1
sir drinks-a-lot
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Elementary Knightship!

The first ever elementary knightship has been discovered in Conway's Game of Life. Jump into the rabbit hole here: http://www.conwaylife.com/forums/vie...php?f=2&t=3303
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Old 8th March 2018, 07:42 PM   #2
theprestige
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WTF is a knightship, and WTF should we care?
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Old 8th March 2018, 08:00 PM   #3
Elagabalus
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Originally Posted by theprestige View Post
WTF is a knightship, and WTF should we care?
Something to help you achieve nerdvana is my guess.
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Old 8th March 2018, 08:05 PM   #4
sir drinks-a-lot
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Originally Posted by theprestige View Post
WTF is a knightship, and WTF should we care?
It's fascinating stuff. I assume you're familiar with Conway's Game of Life and other cellular automata where a simple set of rules can lead to many emergent structures. Mathematicians and enthusiasts have been studying the system for over 40 years. They've built fascinating machines inside the game, including a Universal Turing Machine, and even another 'higher order' game of life within the original game.

A knight ship is an object that appears to move across the game board in a certain way. It is not vertically or horizontally, and also not at a 45 degree angle, but rather at a trajectory of two squares across per each square up or down. They are mathematically difficult to construct, and an elementary knightship has been one of the holy grails of the search for the past 20 or so years.

As to why you should care, I don't think it is necessary - but I do find it an interesting field of pure math.
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Old 8th March 2018, 10:51 PM   #5
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Thanks, that is really cool.

This is a knightship.

You can click on SHOW IN VIEWER, at the top of the CODE box in the link sir drinks-a-lot posted to see it in action.

Go Sir Robin go!
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Old 9th March 2018, 12:00 AM   #6
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Originally Posted by Cheetah View Post

Go Sir Robin go!
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Old 11th March 2018, 06:58 PM   #7
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Originally Posted by sir drinks-a-lot View Post
A knight ship is an object that appears to move across the game board in a certain way. It is not vertically or horizontally, and also not at a 45 degree angle, but rather at a trajectory of two squares across per each square up or down. They are mathematically difficult to construct, and an elementary knightship has been one of the holy grails of the search for the past 20 or so years.
That is quite interesting. What's the difference between an elementary knight ship and just a knight ship?
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Old 11th March 2018, 09:33 PM   #8
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Some spaceships are composed of groups of smaller spaceships plus some connecting structure, but elementary spaceships cannot be split into smaller parts.
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Old 12th March 2018, 10:58 AM   #9
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Originally Posted by ceptimus View Post
........but elementary spaceships cannot be split into smaller parts.
Oh no, irreducible complexity? Quick, someone call Michael Behe!

As for the discovery of an elemental knightship, we'll count me as one in nerdvana too.

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Old 12th March 2018, 09:08 PM   #10
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This thread keeps giving me a mental image of the blue astronaut character from the LEGO Movie running around arranging blocks in a Life pattern while yelling "ELEMENTARY KNIGHTSHIP!"

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