Repost of a Repost
#Batman.

#Batman.

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 :)

La série « Human Error » a été pensée par la designer graphique Victoria Siemer (alias Witchoria).

La série « Human Error » a été pensée par la designer graphique Victoria Siemer (alias Witchoria).

kibblesmith:

This Song Will Change Your Life:

See all of them here.

This should help clear up everything about The “Friend Zone”  When does a woman owe you sex? 

This should help clear up everything about The “Friend Zone”  When does a woman owe you sex? 

bartronfink:

derpycats:

Chillin
You’re done for. 

You’re done for. 

Urban landscapes can be beautiful.

Urban landscapes can be beautiful.

The latest in wearable technologies 
gemmacorrell

The latest in wearable technologies 

gemmacorrell

generalelectric:

At GE Global Research, a tube of almost pure quartz is heated to temperatures of around 1,700 degrees Celsius to create custom laboratory glassware. The material is then molded and tailored specifically to the experiment it’s being created for. Imagery by @seenewphoto.

HOT DAMN, THIS IS SOME COOL SHIT!

Turtle power!

Turtle power!

megaloveluck:

Bartkira Couch Gag. I wanted to make a gif representative of the whole pursuit and so I felt this particular scene was most appropriate. For a moment I was planning on having him slide in on the couch but the temptation of drawing the bike was tooo strong.

megaloveluck:

Bartkira Couch Gag. I wanted to make a gif representative of the whole pursuit and so I felt this particular scene was most appropriate. For a moment I was planning on having him slide in on the couch but the temptation of drawing the bike was tooo strong.