you [Music]
[Applause]
[Applause] I love orange I do they’re sweet
I love orange I do they’re sweet
I love orange I do they’re sweet it’s the best of the juices as a
it’s the best of the juices as a
it’s the best of the juices as a mathematician I love oranges because
mathematician I love oranges because
mathematician I love oranges because they’re spheres and you can peel them in
they’re spheres and you can peel them in
they’re spheres and you can peel them in one piece flatten them on the table and
one piece flatten them on the table and
one piece flatten them on the table and make interesting shapes like this five
make interesting shapes like this five
make interesting shapes like this five pointed star or this elegant spiral if
pointed star or this elegant spiral if
pointed star or this elegant spiral if you put the two together you can even
you put the two together you can even
you put the two together you can even make this interesting flower design if
make this interesting flower design if
make this interesting flower design if you know there’s a field of study that
you know there’s a field of study that
you know there’s a field of study that bestest cartography cartographers
bestest cartography cartographers
bestest cartography cartographers instead of oranges they use mathematics
instead of oranges they use mathematics
instead of oranges they use mathematics to peel the globe true and they they
to peel the globe true and they they
to peel the globe true and they they peel the globe to make flat world maps
peel the globe to make flat world maps
peel the globe to make flat world maps they’ve got a special word for the
they’ve got a special word for the
they’ve got a special word for the different ways that they flatten the
different ways that they flatten the
different ways that they flatten the globe and this word is called projection
globe and this word is called projection
globe and this word is called projection and projections are fascinating I here’s
and projections are fascinating I here’s
and projections are fascinating I here’s three of them now it’s mathematical fact
three of them now it’s mathematical fact
three of them now it’s mathematical fact that projections are there are no
that projections are there are no
that projections are there are no perfect projections every projection has
perfect projections every projection has
perfect projections every projection has to have some sort store sheet or
to have some sort store sheet or
to have some sort store sheet or inaccuracy and cartographers are always
inaccuracy and cartographers are always
inaccuracy and cartographers are always kind of minimizing one distortion or
kind of minimizing one distortion or
kind of minimizing one distortion or another or coming up with a compromise
another or coming up with a compromise
another or coming up with a compromise between the back of my orange I thought
between the back of my orange I thought
between the back of my orange I thought this would be a good candidate for a
this would be a good candidate for a
this would be a good candidate for a world map so I made a projection based
world map so I made a projection based
world map so I made a projection based off and I thought it turned out pretty
off and I thought it turned out pretty
off and I thought it turned out pretty good so I posted it online and I got
good so I posted it online and I got
good so I posted it online and I got some comments back like isn’t it kind of
some comments back like isn’t it kind of
some comments back like isn’t it kind of odd to have two copies of the world on
odd to have two copies of the world on
odd to have two copies of the world on one world map
or another comment was cartographer here
or another comment was cartographer here I love that on the internet when you
I love that on the internet when you
I love that on the internet when you want to speak with authority you say
want to speak with authority you say
want to speak with authority you say you’re here
you’re here
you’re here it’s like cartographer here I’ve never
it’s like cartographer here I’ve never
it’s like cartographer here I’ve never used an orange peel projection I don’t
used an orange peel projection I don’t
used an orange peel projection I don’t know anybody who has and the first I
know anybody who has and the first I
know anybody who has and the first I love myself to think oh he’s bright what
love myself to think oh he’s bright what
love myself to think oh he’s bright what am i doing wasting my time no this is
am i doing wasting my time no this is
am i doing wasting my time no this is awesome
awesome
awesome I have fun doing this who cares
I have fun doing this who cares
I have fun doing this who cares nobody’s used it before and it made me
nobody’s used it before and it made me
nobody’s used it before and it made me realize how ingrained it is in all of us
realize how ingrained it is in all of us
realize how ingrained it is in all of us to see things in terms of practicality
to see things in terms of practicality
to see things in terms of practicality and utility it’s like we’ve got these
and utility it’s like we’ve got these
and utility it’s like we’ve got these utilitarian goggles but these goggles
utilitarian goggles but these goggles
utilitarian goggles but these goggles make us blind to some really fascinating
make us blind to some really fascinating
make us blind to some really fascinating things I’ll show you what it means here
things I’ll show you what it means here
things I’ll show you what it means here are some of my favorite projections
are some of my favorite projections
are some of my favorite projections they’re in the miscellaneous section at
they’re in the miscellaneous section at
they’re in the miscellaneous section at the end of the book of projections kind
the end of the book of projections kind
the end of the book of projections kind of like those cool mystics hanging out
of like those cool mystics hanging out
of like those cool mystics hanging out of the back of the clock and a note
of the back of the clock and a note
of the back of the clock and a note beside each one of these is will say
beside each one of these is will say
beside each one of these is will say novelty projections as if as if they’re
novelty projections as if as if they’re
novelty projections as if as if they’re just mere curiosities and that kind of
just mere curiosities and that kind of
just mere curiosities and that kind of annoys me because these are really cool
annoys me because these are really cool
annoys me because these are really cool I mean the Werner projection is shaped
I mean the Werner projection is shaped
I mean the Werner projection is shaped like a heart
like a heart
like a heart that’d be perfect for Valentine’s Day
that’d be perfect for Valentine’s Day
that’d be perfect for Valentine’s Day something like you mean the world to me
[Applause]
[Applause] sweetie
the guy you projection the guy you
the guy you projection the guy you projection you can tile your wall like
projection you can tile your wall like
projection you can tile your wall like wallpaper I’d like I’d like to see the
wallpaper I’d like I’d like to see the
wallpaper I’d like I’d like to see the winkel Tripel projection do that and
winkel Tripel projection do that and
winkel Tripel projection do that and then I came across this projection this
then I came across this projection this
then I came across this projection this is Berg houses five pointed star
is Berg houses five pointed star
is Berg houses five pointed star projections the note beside this one
projections the note beside this one
projections the note beside this one says for artistic purpose like yes
says for artistic purpose like yes
says for artistic purpose like yes finally somebody has their dog long
finally somebody has their dog long
finally somebody has their dog long enough to realize that you can do
enough to realize that you can do
enough to realize that you can do something because it’s interesting or
something because it’s interesting or
something because it’s interesting or because beautiful or for art’s sake and
because beautiful or for art’s sake and
because beautiful or for art’s sake and so that’s what I want to do today I want
so that’s what I want to do today I want
so that’s what I want to do today I want to talk about projections all right with
to talk about projections all right with
to talk about projections all right with from a creative point now you can’t talk
from a creative point now you can’t talk
from a creative point now you can’t talk about projections without talking about
about projections without talking about
about projections without talking about the Mercator projection the Mercator
the Mercator projection the Mercator
the Mercator projection the Mercator projection is infamous people pick on it
projection is infamous people pick on it
projection is infamous people pick on it all the time because it distorts area
all the time because it distorts area
all the time because it distorts area this is the one that shows green links
this is the one that shows green links
this is the one that shows green links the size of Africa when in reality
the size of Africa when in reality
the size of Africa when in reality Greenland is the size Saudi Arabia most
Greenland is the size Saudi Arabia most
Greenland is the size Saudi Arabia most people at this point would move on to
people at this point would move on to
people at this point would move on to look for more suitable projections but
look for more suitable projections but
look for more suitable projections but we can stick around a little longer and
we can stick around a little longer and
we can stick around a little longer and see what else we can see
see what else we can see
see what else we can see greenly on the sports area because the
greenly on the sports area because the
greenly on the sports area because the closer you get to the polls the more
closer you get to the polls the more
closer you get to the polls the more things who meet I want to know how close
things who meet I want to know how close
things who meet I want to know how close can we get how much counties let’s find
can we get how much counties let’s find
can we get how much counties let’s find out
out
out people say Greenland a look at
people say Greenland a look at
people say Greenland a look at Antarctica we’re really zoomed in this
Antarctica we’re really zoomed in this
Antarctica we’re really zoomed in this here is the amundsen-scott science page
here is the amundsen-scott science page
here is the amundsen-scott science page just a few meters from the South Pole I
just a few meters from the South Pole I
just a few meters from the South Pole I want to give a shout out at any South
want to give a shout out at any South
want to give a shout out at any South Pole scientists who might be watching
and uh let’s keep going okay now we’re
and uh let’s keep going okay now we’re just a few millimeters from the South
just a few millimeters from the South
just a few millimeters from the South Pole and this backgammon board shape
Pole and this backgammon board shape
Pole and this backgammon board shape that is B snowflakes at the South Pole
that is B snowflakes at the South Pole
that is B snowflakes at the South Pole with all six arms pointing northwards
with all six arms pointing northwards
with all six arms pointing northwards that’s incredible and we could keep
that’s incredible and we could keep
that’s incredible and we could keep going but I’m thinking why has nobody
going but I’m thinking why has nobody
going but I’m thinking why has nobody told me that the Mercator projection is
told me that the Mercator projection is
told me that the Mercator projection is infinitely long it’s because that’s not
infinitely long it’s because that’s not
infinitely long it’s because that’s not an interesting thing to know if I wanted
an interesting thing to know if I wanted
an interesting thing to know if I wanted to be useful here’s what I think would
to be useful here’s what I think would
to be useful here’s what I think would happen I would make a couple rules okay
happen I would make a couple rules okay
happen I would make a couple rules okay rule number one north and south should
rule number one north and south should
rule number one north and south should be vertical and east and west should be
be vertical and east and west should be
be vertical and east and west should be far off
far off
far off I think that would be a useful rule rule
I think that would be a useful rule rule
I think that would be a useful rule rule number two let’s fix that problem with
number two let’s fix that problem with
number two let’s fix that problem with the Mercator projection so that
the Mercator projection so that
the Mercator projection so that everything is equal area every pixel on
everything is equal area every pixel on
everything is equal area every pixel on our map is the same number of square
our map is the same number of square
our map is the same number of square kilometers in your life it turns out
kilometers in your life it turns out
kilometers in your life it turns out just these two rules that you’ll get one
just these two rules that you’ll get one
just these two rules that you’ll get one of the most unimaginative cartography
of the most unimaginative cartography
of the most unimaginative cartography it’s the family of equal area
it’s the family of equal area
it’s the family of equal area cylindrical projections and this is a
cylindrical projections and this is a
cylindrical projections and this is a family where all you get to pick is the
family where all you get to pick is the
family where all you get to pick is the width of your map imagine you’re you’re
width of your map imagine you’re you’re
width of your map imagine you’re you’re like a painter and the only freedom you
like a painter and the only freedom you
like a painter and the only freedom you had was the size of your canvas still
had was the size of your canvas still
had was the size of your canvas still that didn’t stop this long progression
that didn’t stop this long progression
that didn’t stop this long progression of
of named projections over the years even
of named projections over the years even as recently as 2002 the hobo dire
as recently as 2002 the hobo dire
as recently as 2002 the hobo dire projection was commissioned money
projection was commissioned money
projection was commissioned money changed hands for somebody to take this
changed hands for somebody to take this
changed hands for somebody to take this bid and and then they named it after and
bid and and then they named it after and
bid and and then they named it after and so I think maybe you would like a
so I think maybe you would like a
so I think maybe you would like a projection named after yourself this is
projection named after yourself this is
projection named after yourself this is the key go pick a number any number it
the key go pick a number any number it
the key go pick a number any number it can even one that’s didn’t used before
can even one that’s didn’t used before
can even one that’s didn’t used before they’ll just have to share and make your
they’ll just have to share and make your
they’ll just have to share and make your Maps that wide and put your name on but
Maps that wide and put your name on but
Maps that wide and put your name on but for me that’s not very satisfying
for me that’s not very satisfying
for me that’s not very satisfying what is that is fine is coming up with
what is that is fine is coming up with
what is that is fine is coming up with my home projections so here are two of
my home projections so here are two of
my home projections so here are two of my own projections and I think they’re
my own projections and I think they’re
my own projections and I think they’re gorgeous
gorgeous
gorgeous now when I say they’re gorgeous that’s
now when I say they’re gorgeous that’s
now when I say they’re gorgeous that’s just not that’s not me meat break it’s
just not that’s not me meat break it’s
just not that’s not me meat break it’s actually the mathematics that I feel
actually the mathematics that I feel
actually the mathematics that I feel it’s beautiful all I’m doing is adding
it’s beautiful all I’m doing is adding
it’s beautiful all I’m doing is adding equations of writing a program and half
equations of writing a program and half
equations of writing a program and half the time I don’t even know what these
the time I don’t even know what these
the time I don’t even know what these things are going to look like until they
things are going to look like until they
things are going to look like until they come back and so I feel like any good
come back and so I feel like any good
come back and so I feel like any good mathematician like any good artist I
mathematician like any good artist I
mathematician like any good artist I asked myself what else I’ve been mapping
asked myself what else I’ve been mapping
asked myself what else I’ve been mapping whoa but we can map any spherical object
whoa but we can map any spherical object
whoa but we can map any spherical object like a soccer ball or ace ball I think
like a soccer ball or ace ball I think
like a soccer ball or ace ball I think that’s pretty cool or panoramas
that’s pretty cool or panoramas
that’s pretty cool or panoramas spherical panoramas are those all around
spherical panoramas are those all around
spherical panoramas are those all around panoramas where there’s imagery 360
panoramas where there’s imagery 360
panoramas where there’s imagery 360 degrees around but also above and below
degrees around but also above and below
degrees around but also above and below that the sphere of imagery and just like
that the sphere of imagery and just like
that the sphere of imagery and just like any sphere you can projector I feel that
any sphere you can projector I feel that
any sphere you can projector I feel that adding projecting and rama”s adds a
adding projecting and rama”s adds a
adding projecting and rama”s adds a personal touch for instance this is the
personal touch for instance this is the
personal touch for instance this is the tree where I grew up and beside it is my
tree where I grew up and beside it is my
tree where I grew up and beside it is my son’s and this really gives me a sense
son’s and this really gives me a sense
son’s and this really gives me a sense of comfort looking at this permanence
of comfort looking at this permanence
of comfort looking at this permanence and stability even as time moves on and
and stability even as time moves on and
and stability even as time moves on and here is a bygone local landmark it’s the
here is a bygone local landmark it’s the
here is a bygone local landmark it’s the beloved Seagram barrel period I’m gonna
beloved Seagram barrel period I’m gonna
beloved Seagram barrel period I’m gonna have to apologize in advance to the
have to apologize in advance to the
have to apologize in advance to the front row the next sentence has Auto
front row the next sentence has Auto
front row the next sentence has Auto keys it can’t be helped this here is an
keys it can’t be helped this here is an
keys it can’t be helped this here is an appropriate projection for this panorama
appropriate projection for this panorama
appropriate projection for this panorama because the panorama has a pyramid in it
because the panorama has a pyramid in it
because the panorama has a pyramid in it and the projection is based off of a
and the projection is based off of a
and the projection is based off of a purities and the pyramid is a polyhedrus
purities and the pyramid is a polyhedrus
purities and the pyramid is a polyhedrus and I want it and the next thing I want
and I want it and the next thing I want
and I want it and the next thing I want to do is talk about using polyhedrons to
to do is talk about using polyhedrons to
to do is talk about using polyhedrons to design projections so that we can
design projections so that we can
design projections so that we can project I think I did okay so what you
project I think I did okay so what you
project I think I did okay so what you do is you start with your favorite
do is you start with your favorite
do is you start with your favorite projection so we’ve got the pentagonal
projection so we’ve got the pentagonal
projection so we’ve got the pentagonal hexagonal
hexagonal
hexagonal the rhombic dodecahedron and the
the rhombic dodecahedron and the
the rhombic dodecahedron and the deltoids ‘el I chose the tetrahedra
deltoids ‘el I chose the tetrahedra
deltoids ‘el I chose the tetrahedra don’t be too afraid of these knees
don’t be too afraid of these knees
don’t be too afraid of these knees they’re no more complicated than poking
and the thing you need to do in order to
and the thing you need to do in order to design a projection based on a
design a projection based on a
design a projection based on a polyhedron is to inflate them like a
polyhedron is to inflate them like a
polyhedron is to inflate them like a balloon into spherical versions of
balloon into spherical versions of
balloon into spherical versions of themselves you can see the edges that
themselves you can see the edges that
themselves you can see the edges that you would cut each of these along like
you would cut each of these along like
you would cut each of these along like it was an orange and then you can lay
it was an orange and then you can lay
it was an orange and then you can lay them out so here there and I really
them out so here there and I really
them out so here there and I really enjoy doing these ones because it gives
enjoy doing these ones because it gives
enjoy doing these ones because it gives me a sense that every time I do a
me a sense that every time I do a
me a sense that every time I do a projection based on it’s my way of
projection based on it’s my way of
projection based on it’s my way of collecting like okay the other thing you
collecting like okay the other thing you
collecting like okay the other thing you can do is sports Falls so for instance
can do is sports Falls so for instance
can do is sports Falls so for instance soccer ball basketball and they’ve got
soccer ball basketball and they’ve got
soccer ball basketball and they’ve got panels already designed for it for me to
panels already designed for it for me to
panels already designed for it for me to make projections
make projections
make projections so the one on the right I really loved
so the one on the right I really loved
so the one on the right I really loved the the pinwheel forms and also I like
the the pinwheel forms and also I like
the the pinwheel forms and also I like soccer and this one well this is just
soccer and this one well this is just
soccer and this one well this is just dynamic it looks like a basketball
dynamic it looks like a basketball
dynamic it looks like a basketball exploded and finally I’ve got these ones
exploded and finally I’ve got these ones
exploded and finally I’ve got these ones these are very intricate at this point
these are very intricate at this point
these are very intricate at this point this is just me going crazy at this
this is just me going crazy at this
this is just me going crazy at this point I’m not even displaying the
point I’m not even displaying the
point I’m not even displaying the content on the spheres it’s really just
content on the spheres it’s really just
content on the spheres it’s really just an exploration of of the forms that you
an exploration of of the forms that you
an exploration of of the forms that you can get spirals the squiggles spherical
can get spirals the squiggles spherical
can get spirals the squiggles spherical symmetry and it really gives me a sense
symmetry and it really gives me a sense
symmetry and it really gives me a sense of it really gives me a sense of what
of it really gives me a sense of what
of it really gives me a sense of what mathematical art is all about on the
mathematical art is all about on the
mathematical art is all about on the artistic side there’s really a sense of
artistic side there’s really a sense of
artistic side there’s really a sense of creation like the things I’m creating
creation like the things I’m creating
creation like the things I’m creating are coming from you but on the
are coming from you but on the
are coming from you but on the mathematical side you get the that
mathematical side you get the that
mathematical side you get the that enjoyment that you’re exploring
enjoyment that you’re exploring
enjoyment that you’re exploring something that’s out there you’re
something that’s out there you’re
something that’s out there you’re discovering these mathematical truth and
discovering these mathematical truth and
discovering these mathematical truth and I really get a sense that anybody else
I really get a sense that anybody else
I really get a sense that anybody else who’s playing these games and stuff like
who’s playing these games and stuff like
who’s playing these games and stuff like that would really would really discover
that would really would really discover
that would really would really discover some of the same things that I have the
some of the same things that I have the
some of the same things that I have the the last project like up till now
the last project like up till now
the last project like up till now everything I’ve shown you is pixels and
everything I’ve shown you is pixels and
everything I’ve shown you is pixels and algorithms equation but I wanted to do
algorithms equation but I wanted to do
algorithms equation but I wanted to do something physical so I started with
something physical so I started with
something physical so I started with this projection I liked it
this projection I liked it
this projection I liked it there’s three squiggly arms and a friend
there’s three squiggly arms and a friend
there’s three squiggly arms and a friend of mine here in the audience
of mine here in the audience
of mine here in the audience he said that kind of looks like a frog
he said that kind of looks like a frog
he said that kind of looks like a frog like yeah so I drew a frog
using this design my son and I created a
using this design my son and I created a woodblock print this is a block printing
woodblock print this is a block printing
woodblock print this is a block printing technique that my my hero the Dutch
technique that my my hero the Dutch
technique that my my hero the Dutch graphic artist MC Escher I was a master
graphic artist MC Escher I was a master
graphic artist MC Escher I was a master it’s where you take a couple blocks of
it’s where you take a couple blocks of
it’s where you take a couple blocks of wood you carve your image on when you
wood you carve your image on when you
wood you carve your image on when you ink it up and then you can make prints
ink it up and then you can make prints
ink it up and then you can make prints like that and I really was very happy
like that and I really was very happy
like that and I really was very happy with how this Wall Street debt one of
with how this Wall Street debt one of
with how this Wall Street debt one of the main reasons is because I like
the main reasons is because I like
the main reasons is because I like making things that reward
making things that reward
making things that reward people or a closer buck for instance I
people or a closer buck for instance I
people or a closer buck for instance I kind of imagined that if you would go up
kind of imagined that if you would go up
kind of imagined that if you would go up see hey that’s a pretty neat frog wait a
see hey that’s a pretty neat frog wait a
see hey that’s a pretty neat frog wait a second that spot look a little bit like
second that spot look a little bit like
second that spot look a little bit like Africa
Africa
Africa wait a second and after a while you
wait a second and after a while you
wait a second and after a while you might be able to put together that yes
might be able to put together that yes
might be able to put together that yes indeed you were to cut out this frog
indeed you were to cut out this frog
indeed you were to cut out this frog maybe tuck in an arm here and there you
maybe tuck in an arm here and there you
maybe tuck in an arm here and there you could make a paper so that that’s very
could make a paper so that that’s very
could make a paper so that that’s very sad back to me and I really just wanted
sad back to me and I really just wanted
sad back to me and I really just wanted to end on if you’re in a creative mood
to end on if you’re in a creative mood
to end on if you’re in a creative mood you’re doing something like crocheting
you’re doing something like crocheting
you’re doing something like crocheting or making a sculpture putting a ship in
or making a sculpture putting a ship in
or making a sculpture putting a ship in the bog and and you’ve got that voice in
the bog and and you’ve got that voice in
the bog and and you’ve got that voice in the back of your head saying maybe I’m
the back of your head saying maybe I’m
the back of your head saying maybe I’m just wasting my time or maybe you’ve
just wasting my time or maybe you’ve
just wasting my time or maybe you’ve heard that backhanded compliment well it
heard that backhanded compliment well it
heard that backhanded compliment well it looks like somebody’s got too much time
ssp as if they didn’t just finished
ssp as if they didn’t just finished binge watching a season of gaming I want
binge watching a season of gaming I want
binge watching a season of gaming I want you to give yourself permission to do to
you to give yourself permission to do to
you to give yourself permission to do to take off those utilitarian goggles and
take off those utilitarian goggles and
take off those utilitarian goggles and and and have fun exploring even for just
and and have fun exploring even for just
and and have fun exploring even for just a second in the name of hobby or your
a second in the name of hobby or your
a second in the name of hobby or your craft or for art’s sake I promise it
craft or for art’s sake I promise it
craft or for art’s sake I promise it you’ll be surprised and delighted it’s
you’ll be surprised and delighted it’s
you’ll be surprised and delighted it’s going to be awesome
[Music]
[Music] [Applause]
”
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