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I'm Natalia, 21, Russian and I live beyond the arctic circle.
ナタリア、21歳。
日本語を勉強しています!
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Posted on 20th Jul at 10:00 AM, with 221 notes
emmamarmalade:

another party hat type pattern 
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emmamarmalade:

another party hat type pattern 

Posted on 18th Jul at 10:00 AM, with 2,475 notes

spring-of-mathematics:

Mathematically Correct Breakfast - How to Slice a Bagel into Two Linked Halves. If a torus is cut by a Möbius strip it will split up into to interlocking rings.

It is not hard to cut a bagel into two equal halves which are linked like two links of a chain. Figure 1:

  1. To start, you must visualize four key points.  Center the bagel at the origin, circling the Z axis. A is the highest point above the +X axis.  B is where the +Y axis enters the bagel. C is the lowest point below the -X axis.  D is where the -Y axis exits the bagel.
  2. These sharpie markings on the bagel are just to help visualize the geometry and the points.  You don’t need to actually write on the bagel to cut it properly.
  3. The line ABCDA, which goes smoothly through all four key points, is the cut line.  As it goes 360 degrees around the Z axis, it also goes 360 degrees around the bagel.
  4. The red line is like the black line but is rotated 180 degrees (around Z or through the hole). An ideal knife could enter on the black line and come out exactly opposite, on the red line. But in practice, it is easier to cut in halfway on both the black line and the red line. The cutting surface is a two-twist Mobius strip; it has two sides, one for each half.
  5. After being cut, the two halves can be moved but are still linked together, each passing through the hole of the other.

It is much more fun to put cream cheese on these bagels than on an ordinary bagel. In additional to the intellectual stimulation, you get more cream cheese, because there is slightly more surface area.
Topology problem: Modify the cut so the cutting surface is a one-twist Mobius strip. (You can still get cream cheese into the cut, but it doesn’t separate into two parts). See more at: Mathematically Correct Breakfast: How to Slice a Bagel into Two Linked Halves by George W. Hart.

Images: How to Slice a Bagel into Two Linked Halves by George W. Hart - Cutting bagels into linked halves on Mathematica. - Interlocking Bagel Rings

Maybe, that’s one of the reasons why I love bagel :)

Posted on 16th Jul at 10:00 AM, with 251,255 notes

shattystrashstache:

real friendship is sending them a link to something terrible so you can both be traumatized at the same time

Posted on 14th Jul at 11:58 PM, with 2,930 notes
niggaaarific:

never 4get

i want to look like tiffani thiessen

niggaaarific:

never 4get

i want to look like tiffani thiessen

Posted on 14th Jul at 11:39 PM, with 100 notes

Serenade For Strings in E Major, Op. 22, II. Tempo Di Valse

by Antonín Leopold Dvořák

Posted on 14th Jul at 9:12 PM, with 61,390 notes

sebastiandebeste:

*hears a single word from a foreign language that i know* Wow. haha not to toot my own horn or anything but did you guys know that you are in the presence of a sophisticated linguist

Posted on 14th Jul at 1:59 PM, with 11,705 notes
where is that? the country? the name of the building? anything?
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where is that? the country? the name of the building? anything?

Posted on 14th Jul at 12:04 AM, with 33,457 notes
"I fell in love with the world in you."
Noah And The Whale, Hold My Hand As I’m Lowered
Start
00:00 AM