Title: The Shape of the Universe
1The Shape of the Universe
There is a theory which states that if ever for
any reason anyone discovers what exactly the
Universe is for and why it is here it will
instantly disappear and be replaced by something
even more bizarre and inexplicable. There is
another that states that this has already
happened. Douglas Adams (British comic Writer,
1952-2001)
- by
- Paul Sundheim
- With help from many sources on the web
2How Many Dimensions Does the Universe Have?
Two things are infinite the universe and human
stupidity and I'm not sure about the universe.
Albert Einstein
z
AND TIME
t
x
y
3The Fourth Dimension
Three dimensional Finite in three
dimensions Fixed time
Four dimensional Finite in each dimension
4Back to Two Dimensions
Duct tape is like the force. It has a light
side, a dark side, and it holds the universe
together. Oprah Winfrey
5Remember Pac-Man?
He Lives in a Cylinder
6To Construct a Torus
- Start with a square with arrows
- Roll up the bottom to the top matching the arrows
- Bend the cylinder to match the arrows
7Note The Process Needed A New Dimension!
There are no extra pieces in the universe.
Everyone is here because he or she has a place to
fill, and every piece must fit itself into the
big jigsaw puzzle. Deepak Chopra
The process cannot be done in two dimensions, we
needed three.
8How to Do This in 3-D?
Top
Front
Right
Left
STEP 1 Connect the Front to the Back
9How to Do This in 3-D?
Outside Torus
Inside Torus
STEP 2 Connect the Top to the Bottom
10How to Do This in 3-D? You Need 4-D!
The left is now the outside and the right is now
the inside.
STEP 3 Connect the Left to the Right
11Its Easier to Look at it From the Inside Out
Everything is perfect in the universe - even
your desire to improve it. Wayne Dyer
12The Cubic-Toroidal Space Would Look Something Like
13The Cube Does Not Make the Same Space as the
Dodecahedron.
Imagine that each of these shapes are made of
mirrors faced to the inside and you are standing
inside the cube or dodecahedron.
14The Cube Does Not Make the Same Space as the
Dodecahedron.
In the cube you would see yourself repeated an
infinite number of times in 6 directions. In the
dodecahedron you would see yourself repeated in
12 different directions.
15Does the Universe Play Soccer?
The Sun, with all the planets revolving around
it, and depending on it, can still ripen a bunch
of grapes as though it had nothing else in the
Universe to do. Galileo Galilei
Dodecahedron
There is some evidence that the universe might
have the shape of a closed dodecahedron.
16The Isotropic Background Radiation
Black holes are where God divided by zero. Bill
Watterson, "Calvin and Hobbes"
Article Title Dodecahedral space topology as
an explanation for weak wide-angle temperature
correlations in the cosmic microwave background
For more detail see http//luth2.obspm.fr/Compress
/oct03_lum.en.html
17The End