A romance of many dimensions

The Adventures of “A. Square”

I’m A. Square.

HI!

I live in Flatland.

Flatland has 2 dimensions.

Flatland actually looks something more like this…

When A. Square looks around Flatland, this is what he sees…

A. Square.

line of sight

I have many

friends.

CircleTriangle

Line

But to A. Square, his friends look like this…

A. Square. Circle

Triangle (with his point facing towards us)

Line (from the side)

Line (from the front)

line of sight

So now that you’ve learned about A. Square and Flatland,

Let’s learn about his adventures.

I’m Bored!

One day, A. Square got bored…

and decided to go on an Adventure.

Lineland

What’s this?

Meet the inhabitants of Lineland

Line LineLineLine LineLine

Lineland, unlike Flatland, only has one dimension.

Each line has only ever known its immediate neighbor.

They only have two eyes.

What’s up?

A. Square’s visit to Lineland

caused quite a disruption. Woah!

Where’d you come from?

He just disappeared!

The residents of Lineland were very disturbed.

Here I am!

Where’s that voice coming from?

Have you ever met someone from

Lineland?

They view things in two dimensions.

Yes/No

Right/Wrong

They follow authority?

Have you ever met someone from

Lineland?

Pointland

What’s this?

After Lineland, A. Square

visited Pointland.

Hello.

But the point didn’t hear

him.

Hello?Hello!

HELLO!

A. Square tried to introduce

Himself…

Blah, blah, blah.

Blah, blah, blah.

Blah, blah, blah. Blah, blah, blah. Blah, blah, blah.

The point was in its own world.

Have you ever met someone from

Pointland?

They don’t recognize

needs beyond their own?

They are the center of

everything?

They’re oblivious to

others.

Have you ever met someone from

Pointland?

A. Square receives a visitor…

So they actually live in 2 dimensions!

A. Square returned to Flatland and tried to

explain his adventures.

But no one believed him.

Dude! You’re crazy.

A. Square left disillusioned.

This is seriously messed up!

Dejected, A. Square encountered his friend, Circle.

This Circle could grow

But it wasn’t Circle.

shrink and disappear

You see, this circle…

was a SPHERE!

Where’d that circle go?

This is really what A. Square saw…

A. Square.

line of sight

Perhaps there are more dimensions?

How could my thinking be so “two

dimensional?”

This made A. Square think…

What would you do if you were A. Square?

Can you “see” the next dimension?

A 4th? A 5th? A 6th?

Can you think of a time that you “thought outside” of your

dimension?

And that’s the story of A. Square.

What we can learn from A. Square…

Pointland ● Expand your world ● Expose yourself to new

perspectives ● Remember to think of how your

actions impact others

What we can learn from A. Square…

Lineland ● Decisions are complex… ● It’s more than black or white ● Can you find a third way?

What we can learn from A. Square…

Encounter with the Sphere ● Look for the next dimension ● Add a new perspective ● Change can be scary

Good Luck!

Thank you.