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Therefore any object would have to go around the loop twice in order to get back to its starting point
Let's bend this strip into a simple loop
What will the result be if a cut is made along the middle line?
Now, what if we cut a Möbius strip along the middle line?
Surprisingly, when cut in half, it stays in one loop.
Now, what will the result be, if I make a cut along the line at one-third of the width of the strip?
Notice that the cut goes around the loop twice before coming back to the point where the cut started. That's why the outer loop is twice as long as the middle loop
A Hexagon Illusion
Defining Topology, Manifold, and Boundary
An Open 2D Manifold
Riddle #1
Cutting the Möbius Strip in half
Cutting the Möbius Strip in thirds
The Grandfather Paradox
Grandfather Paradox Solution Using a Möbius Strip
A Closed 2D Manifold
Riddle #2
Visualizing the Klein Bottle with an Ant
Spatial and Temporal Dimensions
Linus - Two Dimensions for a 1D Creature
Squirrel - Three Dimensions for a 2D Creature
Time Evolution of a Flattened Möbius Strip's Boundary
Klein Bottle
Visualizing the Klein Bottle in 4 Dimensions
Theme begins. The paper is in a loop with a half twist.
A mobius strip is a loop with a half-twist. It has only one side!
This means we can play both sides of the original strip in one pass through the box
We've gone around the loop. Back to the start of the theme!
Now back to the beginning, but the melody is right-side up again.
Let's make a Möbius Strip and Möbius Hearts
Twist in the opposite direction from the first Möbius Strip
Tape the them together at right angles.
Tape both sides!
Now cut both loops through the middle
Now untwist to reveal the interlinked hearts!
what happens if we don't twist the loops?
Let's do the same steps but no twists!
It's a rectangle! So cool!