# Blog

## Archive

Show me a Random Blog Post**2017**

**2016**

**2015**

**2014**

**2013**

**2012**

## Tags

folding paper folding tube maps london underground platonic solids rhombicuboctahedron raspberry pi weather station programming python php news royal baby probability game show probability christmas flexagons frobel coins reuleaux polygons countdown football world cup sport stickers tennis braiding craft wool emf camp people maths trigonometry logic propositional calculus twitter mathslogicbot oeis pac-man graph theory video games games chalkdust magazine menace machine learning javascript martin gardner reddit national lottery rugby puzzles advent game of life dragon curves fractals pythagoras geometry triangles european cup dates palindromes chalkdust christmas card bubble bobble asteroids final fantasy curvature binary arithmetic bodmas statistics error bars estimation accuracy misleading statistics**2016-06-05 10:57:24**

## Making Names in Life

The Game of Life is a cellular automaton invented by John Conway in 1970,
and popularised by Martin Gardner.

In Life, cells on a square grid are either alive or dead. It begins
at generation 0 with some cells alive and some dead. The cells' aliveness in
the following generations are defined by the following rules:

- Any live cell with four or more live neighbours dies of overcrowding.
- Any live cell with one or fewer live neighbours dies of loneliness.
- Any dead cell with exactly three live neighbours comes to life.

Starting positions can be found which lead to all kinds of behaviour:
from making gliders
to generating prime numbers.
The following starting position is one of my favourites:

It looks boring enough, but in the next generation, it will look like this:

If you want to confirm that I'm not lying, I recommend the free Game of Life Software Golly.

### Going Backwards

You may be wondering how I designed the starting pattern above. A first, it looks like a difficult task: each cell can be dead or alive,
so I need to check every possible combination until I find one. The number of combinations will be \(2^\text{number of cells}\). This will
be a very large number.

There are simplifications that can be made, however. Each of the letters above (ignoring the

*g*s) is in a 3×3 block, surrounded by dead cells. Only the cells in the 5×5 block around this can affect the letter. These 5×5 blocks do no overlap, so can be calculated seperately. I doesn't take too long to try all the possibilities for these 5×5 blocks. The*g*s were then made by starting with an*o*and trying adding cells below.### Can I Make My Name?

Yes, you can make your name.

I continued the search and found a 5×5 block for each letter. Simply Enter your name in the box below and
these will be combined to make a pattern leading to your name!

### Similar Posts

The Mathematical Games of Martin Gardner | MENACE | Dragon Curves II | Logical Contradictions |

### Comments

Comments in green were written by me. Comments in blue were not written by me.

Add a Comment