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Game	of	Life	
s1240035	
Aki	Nakamura
What	is	“Game	of	Life”?	
•  It	is	a	kind	of	cellular	automaton.	
•  There	are	cells	which	are	filled	or	empty.
History	&	Usage	
•  “Game	of	Life”	was	invented	by	a	
mathemaLcian,	John	Conway.	
•  It	is	used	for	some	simulaLon	for	life	and	so	
on.
Rules	
•  There	are	four	simple	rules	for	each	cells.	
•  The	game	proceeds	step	by	step.	
•  All rules	are	applied	simultaneously.	
•  Two	cells	are	“adjacent”	if	and	only	if	they	are	
neighbors	in	8 direcLons.
Rules	
•  1.	Birth	
•  If	the	cell	is	empty	and	the	number	of	
adjacent	filled	cells	is	exactly	three,	the	cell	
will	be	filled.	
This	cell	will	be	filled.
Rules	
•  2.	Survive	
•  If	the	cell	is	filled	and	the	number	of	adjacent	
filled	cells	is	two	or	three,	the	cell	will	be	
filled.	
This	cell	will	be	filled.
Rules	
•  3.	Under	populaLon	
•  If	the	cell	is	filled	and	the	number	of	adjacent	
filled	cells	is	less	than	two,	the	cell	will	be	
empty.	
This	cell	will	be	empty.
Rules	
•  4.	Over	populaLon	
•  If	the	cell	is	filled	and	the	number	of	adjacent	
filled	cells	is	more	than	three,	the	cell	will	be	
empty	
This	cell	will	be	empty.
InteresLng	PaVerns	
•  There	are	four	types	of	interesLng	paVerns.	
•  SLll	Life	
•  Oscillator	
•  Spaceship	
•  Methuselah
SLll	Life	
•  Block	
•  It	is	a	object	that	doesn’t	change	forever.
Oscillator	
•  Blinker	
•  It	is	a	object	that	repeats	some	paVerns.
Spaceship	
•  Glider	
•  It	is	a	moving	object	that	sustains	its	shape.
Methuselah	
•  Die	Hard	
•  It	survives	for	130	steps.
Examples	
•  Let’s	see	here.	
•  hVps://bitstorm.org/gameoflife/
Links	
•  SCIENCE	BUDDIES	
•  hVp://www.sciencebuddies.org/science-fair-
projects/search.shtml?
v=ia&ia=CompSci&d=4,5,6&p=3	
•  The	SimulaLon	
•  hVps://bitstorm.org/gameoflife/	
•  Wikipedia	
•  hVps://en.wikipedia.org/wiki/
Conway%27s_Game_of_Life

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