ConwayLife.com

Here is an orthogonal 3c/7 period 154 rake.


#C An orthogonal 3c/7 period 154 (2 * 7 * 11) backward glider rake.
#C This is based on a dirty puffer by Dylan Chen from 2021.
#C Removing the rear spaceship creates a double backward rake.
#C David I. Bell, 25 October 2026
x = 139, y = 211, rule = B3 ...

I found a new orthogonal 3c/7 front end for a rake which is much faster than the period 770 front end used in my current adjustable rake.

The minimum possible period is reduced to just 280 as shown here.


#C An orthogonal 3c/7 convoy turning a MWSS stream into blinkers.
#C The reaction is ...

The orthogonal 3c/7 period 21 double block puffer has a couple of more tricks up its sleeve than just being used to make a MWSS side rake.

Firstly, a backward glider can pass through the double block creating reaction (being slightly shifted) to suppress one block and then delete a second block ...

This is pretty simple, but I don't remember seeing it before.


#C A glider travels back on forth on increasingly long paths.
#C This uses two convoys of orthogonal c/2 period 36 rakes to create
#C two trails composed of pairs of boats spaced 18 cells apart.
#C A glider travels back and forth ...

I thought it might be interesting to find examples of rakes whose periods have only one prime divisor (i.e, the period is the power of a prime).

This can be done with many of the known speeds. Here are my results with the lowest period for each speed that I could find or construct.

(Unfortunately ...

This is a description of some orthogonal 3c/7 technology.

There are spaceship convoys which convert between blinkers and gliders, convoys which turn gliders in various directions, and convoys which replicate gliders.

Some of the glider-to-glider converting convoys change the phase or color of the ...

This is one of the objects that I created just four days ago with much effort.


#C An orthogonal 3c/7 period 70 backward and forward rake.
#C This contains a forward rake and a glider reflector.
#C The forward rake is a dirty puffer whose exhaust is
#C cleaned up. The glider reflector is a cleaned ...

Here is an adjustable period 3c/7 rake.


#C An adjustable orthogonal period 62468 3c/7 forward glider rake.
#C This uses a convoy of 3c/7 spaceships to perturb a LWSS
#C into two blinkers. The blinkers are then converted into
#C three gliders which are redirected by other 3c/7 convoys
#C to create ...

User iNoMed discovered an orthogonal 3c/7 period 35 spaceship in January 2021. That spaceship used two spaceships to suppress the debris from a slightly dirty puffer.

https://conwaylife.com/forums/viewtopic.php?p=118103#p118103

Today I found an alternative perturbation of the puffer which creates ...

The orthogonal period 42 3c/7 honeyfarm puffer from a few years ago can be used to period double some forward glider streams.

Here is the base convoy containing the puffer along with some rakes and ships used to clean up the debris from the reactions.


#C A period 42 3c/7 convoy for period ...

I found the following (maybe known) interesting thing while working on deleting the debris from my latest period doubling convoy.


#C An orthogonal 3c/7 period 21 backward rake forms a crystal.
#C The crystal is made of blocks, honey farms, and boats.
#C It has a slope of (16,2), and a new unit is ...

The Game of Life Status page says that orthogonal 3c/7 spaceships are known having periods for all multiples of seven.

However, I can not find anything to confirm this. The forums and the LifeWiki seem to have no information on this. (Correct me if I'm wrong.)

Would someone please post some ...

Here is a new record minimum repeating population for a sawtooth spaceship.

One of the sparking spaceships in sawtooth 690 (and in the previous sawtooth 707) can be replaced by a smaller symmetrical spaceship to save eight cells.


#C A sawtooth spaceship with a repeating minimum population of 682 ...

Here is a simple way to convert a sideways glider into two sideways gliders.


#C A pair of two-engine Corderships duplicate a sideways glider.
#C The upper Cordership converts a sideways glider into a beehive.
#C Then the lower Cordership converts the beehive into a forward glider.
#C Finally the ...

A sawtooth can be made based on the recent slow-growing spaceship pattern.


#C An anchored sawtooth whose population reduces very slowly.
#C This is based on a slow-growing spaceship in which a glider slowly
#C advances forwards through two boat trails while consuming them.
#C However, in this ...

The diagonal c/4 period multiplying convoy from a couple of years ago can be used to make a sawtooth.


#C A sawtooth using a diagonal c/4 period 60 fuse-making puffer.
#C The puffer contains a period 60 sideways rake whose output is
#C processed by a large convoy to create a series of fuse ...

I found a second sideways to backwards glider turning reaction for the two-engine Cordership. The new glider creation reaction is much quicker than the original reaction that I had been using.

Here are both of them for comparison.


#C Sideways-to-backwards glider reactions using a two-engine ...

Here is a sawtooth based on my recent non-linear glider hotel.


#C A non-linear sawtooth with a minimum population around 2857 cells.
#C This uses four Cordership pairs receding from each other, a
#C period 256 edge-shooter glider gun, and some stable circuitry.
#C Gliders from the gun get ...

Here is an infinite glider hotel having four wings and four reception areas.


#C A symmetrical non-linear infinite glider hotel.
#C This uses four pairs of Corderships, four period 256 edge-shooting
#C glider guns, and four snarks. Gliders continuously travel on a
#C growing glider loop to visit ...

Is there a totally 'fragile' object which is cleanly deleted by all the possible impacts by a single glider?

BCNU,
-dbell

My most recent sawtooth makes use of the following c/10 component to construct a ship. (I needed this because there was no other way to make a MWSS that would work due to the closeness of a LWSS.)


#C A period 10 c/10 convoy which converts a glider into a ship.
#C The ship is formed on a lane free ...

Many sawtooths are based on a "tractor beam" reaction where a stream of spaceships pulls an object backwards towards the main part of the sawtooth.

Here is new type of sawtooth which uses a "repulsor beam" reaction instead.


#C An orthogonal sawtooth spaceship based on a "repulsor beam" reaction ...

Here is a sawtooth spaceship based on a restartable boatstretcher and Corderships.


#C A diagonal sawtooth spaceship with a minimum population around 1760.
#C This uses a restartable diagonal c/4 boatstretcher and several
#C diagonal c/12 period 288 Cordership rakes and sparking Corderships.
#C ...

This is a slight advancement from my previous post of a year and a half ago. (I just took my original object and added a rake to act on the blocks to produce an irregular output stream.)


#C A pseudo-random rake based on PI crawlers.
#C This uses some period 36 c/2 puffers to create trails on ...

Which sawtooth has the slowest expansion rate?


Well, anchored patterns behaving like binary counters have pretty slow expansions.

For example, the logarithmetic growth pattern seen here:
https://conwaylife.com/forums/viewtopic.php?p=173130#p173130
is slowly expanding but at the same time quick ...