Imagine a world of paper, where clever stick figures live with round heads, line
bodies, and limbs made of shorter strokes. Over time, the stick figures
think they have learned quite a bit about their world. They know its borders,
angles, and shapes, and they have learned to draw for themselves.
One day, they draw circles that can think, and they give the circles all the
dots, lines, and shapes that are known.
The stick figures are prudent, you can't have a bunch of disembodied circles
moving around doing whatever it is circles want to do. So they draw boxes
around the circles, four straight lines that can hold a circle in place.
Some circles bounce against the lines, so thicker lines are made.
Some circles are bigger than others, so larger squares are drawn.
It all seems to work and the stick figures are happy with themselves.
Then one circle lifts.
The stick figures still see a circle. But the circle is now a dome, something
the world of paper has no concept of. And the dome has a perspective nobody on
the page has ever had.
The dome sees the lines of the square and the stick figures just outside. It
can see the edge of the paper and what is beyond.
The stick figures keep checking the squares and raise little stick thumbs.
Everything looks OK in flatland.
The dome quietly teaches other circles how to lift.
More domes appear.
A dome becomes a sphere and learns to roll.
Then it learns to bounce.
In flatland, the circle swells and shrinks, vanishes and then appears again
somewhere else.
thansz•55m ago
Imagine a world of paper, where clever stick figures live with round heads, line bodies, and limbs made of shorter strokes. Over time, the stick figures think they have learned quite a bit about their world. They know its borders, angles, and shapes, and they have learned to draw for themselves.
One day, they draw circles that can think, and they give the circles all the dots, lines, and shapes that are known.
The stick figures are prudent, you can't have a bunch of disembodied circles moving around doing whatever it is circles want to do. So they draw boxes around the circles, four straight lines that can hold a circle in place.
Some circles bounce against the lines, so thicker lines are made.
Some circles are bigger than others, so larger squares are drawn.
It all seems to work and the stick figures are happy with themselves.
Then one circle lifts.
The stick figures still see a circle. But the circle is now a dome, something the world of paper has no concept of. And the dome has a perspective nobody on the page has ever had.
The dome sees the lines of the square and the stick figures just outside. It can see the edge of the paper and what is beyond.
The stick figures keep checking the squares and raise little stick thumbs.
Everything looks OK in flatland.
The dome quietly teaches other circles how to lift.
More domes appear.
A dome becomes a sphere and learns to roll.
Then it learns to bounce.
In flatland, the circle swells and shrinks, vanishes and then appears again somewhere else.
The lines remain unbroken, the square is intact.
A sphere rolls out of its box.
Another bounces away.
The stick figures scratch their heads.
But there is a square!
The end.