this is penro tiling these tiles have
this is penro tiling these tiles have
this is penro tiling these tiles have
been found in Egypt Greece Australia
been found in Egypt Greece Australia
been found in Egypt Greece Australia
meso Amica North America Europe and even
meso Amica North America Europe and even
meso Amica North America Europe and even
the Middle East but why does it keep
the Middle East but why does it keep
the Middle East but why does it keep
popping up and what is it penrose's
popping up and what is it penrose's
popping up and what is it penrose's
tiles are a pattern of two shapes that
tiles are a pattern of two shapes that
tiles are a pattern of two shapes that
can expand indefinitely in any direction
can expand indefinitely in any direction
can expand indefinitely in any direction
without ever repeating in mathematics
without ever repeating in mathematics
without ever repeating in mathematics
this property is known as a periodicity
this property is known as a periodicity
this property is known as a periodicity
Roger Penrose discovered this back in
Roger Penrose discovered this back in
Roger Penrose discovered this back in
the 1970s and it's been found all over
the 1970s and it's been found all over
the 1970s and it's been found all over
the world over and over again and it's
the world over and over again and it's
the world over and over again and it's
thousands of years old so what's going
thousands of years old so what's going
thousands of years old so what's going
on theorist Terry Moore believes what
on theorist Terry Moore believes what
on theorist Terry Moore believes what
we're seeing is more than just a
we're seeing is more than just a
we're seeing is more than just a
beautiful design all these ancient
beautiful design all these ancient
beautiful design all these ancient
cultures must have seen something
cultures must have seen something
cultures must have seen something
special this pattern is
special this pattern is
special this pattern is
life and as you can see life's
life and as you can see life's
life and as you can see life's
complicated life is also AP periodic in
complicated life is also AP periodic in
complicated life is also AP periodic in
the sense that every event every
the sense that every event every
the sense that every event every
happening every decision will make the
happening every decision will make the
happening every decision will make the
future unfold differently often in ways
future unfold differently often in ways
future unfold differently often in ways
that are impossible to predict yet in
that are impossible to predict yet in
that are impossible to predict yet in
spite of the complexity and in spite of
spite of the complexity and in spite of
spite of the complexity and in spite of
a future that's impossible to predict
a future that's impossible to predict
a future that's impossible to predict
there remains an underlying Unity that
there remains an underlying Unity that
there remains an underlying Unity that
holds everything together and gives rise
holds everything together and gives rise
holds everything together and gives rise
to everything when we see these
to everything when we see these
to everything when we see these
wonderful designs created by cultures
wonderful designs created by cultures
wonderful designs created by cultures
that are separated from our own by
that are separated from our own by
that are separated from our own by
thousands of miles or thousands of years
thousands of miles or thousands of years
thousands of miles or thousands of years
we can know these aren't decorations
we can know these aren't decorations
we can know these aren't decorations
these are statements about the
these are statements about the
these are statements about the
fundamental values that culture had what
fundamental values that culture had what
fundamental values that culture had what
they found important how they saw
they found important how they saw
they found important how they saw
themselves the world and themselves eles
themselves the world and themselves eles
themselves the world and themselves eles
in the world they're a message look
in the world they're a message look
in the world they're a message look
listen you can hear their voices