Seven Bridges of Königsberg
what is möbius strip?
One way to represent the Möbius strip as a subset of R3 is using the parametrization:
This creates a Möbius strip of width 1 whose center circle has radius 1, lies in the x-y plane and is centered at (0,0,0). The parameter u runs around the strip while v moves from one edge to the other. In cylindrical polar coordinates (r,θ,z), an unbounded version of the Möbius strip can be represented by the equation:
Topologically, the Möbius strip can be defined as the square [0,1] × [0,1] with its top and bottom sides identified by the relation (x,0) ~ (1-x,1) for 0 ≤ x ≤ 1, as in the diagram on the right.
The Möbius strip is a two-dimensional compact manifold (i.e. a surface) with boundary. It is a standard example of a surface which is not orientable. The Möbius strip is also a standard example used to illustrate the mathematical concept of a fiber bundle. Specifically, it is a nontrivial bundle over the circle S1 with a fiber the unit interval, I = [0,1]. Looking only at the edge of the Möbius strip gives a nontrivial two point (or Z2) bundle over S1.
i didn't understand tell it again!Cardcaptor Sakura (カードキャプターさくら Kādo Kyaputā Sakura) is a manga series with a TV series based on the manga consists of 70 half-hour episodes (spread over three seasons), two theatrically released movies, and several specials. Characters use cards, and the loop character is very important. Loop is capable of warping reality--bending the time-space continuum (so to speak) into a continuous, repeating loop. Anything or anyone unfortunate enough to be trapped inside it will be left stranded in an environment that repeats on itself, with no way of getting out. It is defeated by the combined efforts of both Sakura and Syaoran, who manage to cut the loop in half. When you look at the picture you will see how möebius doesn't come to same place 2nd time.
coz
recycle symbol contains
some secrets about the time
that u dunno
1-i is enough to see the whole world and tell it
2-you to make a rotting poem with a synthetic verse
3-love is enough to come on your own kid
4-hate that will never leave your bright curse
5-miss is too much even for a strong pith
6-kill doctors injure hospitals l'ours
7-how sacret your secrets lead us to hell's pit
- "A mathematician confided
- That a Möbius band is one-sided,
- And you'll get quite a laugh,
- If you cut one in half,
- For it stays in one piece when divided"
This is Echer's famous möebius strip with ants, we all have möebius bands inside ourselves, we call it DNA. One recent application of knot theory has been to the question of whether two strands of DNA are equivalent without cutting. If the knot is moved smoothly to a different position in the ambient space, then the knot is considered to be unchanged, and if one knot can be moved smoothly to coincide with another knot, the two knots are called "equivalent".
how many dimensions has a line?
2 or 3, to tell the imaginary truth, if it is 3, there's possibilty that it can be 4, too.
is it a plane without width
or is it a bar to thrust into someone's chest.
a girl that you dislike
actually everything comes from circles
and square is a circle with corners
corners are where deja-vu happens
but it can not be true
there is no way of 2nd anything
but 3rd is possible
so you were not that famous king
so you were not blah blah blah in your previous life
but you were a fairy before that
and i loved you
god's number is 3
that's why blinds can see
but my lucky number is 13
because i am still a suicide teen
and god is one
but i am 13 different words
undone
mathematik is so dutch, i guess.
because 2 lines are said to be skew lines if they do not intersect but are not parallel.
skew lines
need to 3 dimensions to screw
because they can not fuck each other like animals, beastial and underrate-parallel
they need the 3rd perspective of something for a original orgy in the ambient space
posted by Harris Klebold at 2:26 AM
0 comments
