1. Girls from a West Bank village cool off in the Dead Sea | Paolo Pellegrin

2. Cinema 4D Mountains | Mark Kirkpatrick

3. Birds at the Indigo Bay Resort and Spa in Mozambique | Travel Marketing Worldwide

1. Girls from a West Bank village cool off in the Dead Sea | Paolo Pellegrin

2. Cinema 4D Mountains | Mark Kirkpatrick

3. Birds at the Indigo Bay Resort and Spa in Mozambique | Travel Marketing Worldwide

44. 4. *(line-square-cube-tesseract via folding)*

3D breakfast

Taehyung literally **giggling** in *Danger* Japanese MV

**Cubes fall through “Flatland”.** On the left is a view of the cube in perspective; on the right is a view from directly above which represents what a two-dimensional person viewing the cube from within the plane would be able to perceive.

**The top animation** shows a square falling through flatland on its face. The slices are always squares. So our two-dimensional person would see “a square existing for a while”.

**The second animation** shows a square falling through flatland on one of its edges. The slice begins as an edge, then becomes a rectangle; the rectangle grows, becomes a square for a moment, and then gets wider than it is tall. At its widest, it is as wide as the diagonal of one of the square faces of the cube. The rectangle then shrinks back to an edge at the top of the cube.

**The third animation** is the coolest one! The cube passes through Flatland on one of its corners. In this case, the initial contact is a point, which then becomes a small equilateral triangle. This triangle grows until it touches three of the corners of the cube. At this point, the corners of the triangles begin to be cut off by the other three faces of the cube. For a short moment, the triangle turns into a *certain regular polygon..*. As the cube progresses through the plane, the slice turns again into a cut-off triangle (but inverted with respect to the original one) and finally becomes an equilateral triangle once again as three more vertices pass through the plane. This triangle shrinks down to a point and disappears.

*In the third animation, what regular polygon does the triangle turn into halfway through its fall? *If you can’t figure out, maybe this artwork by Robert Fathauer will help. (Scroll to the bottom.)

*If a 4D cube entered our dimension, what would we see?* If you can’t figure this out, check out this awesome page. (Click the GIF links.)

Hand drawn hypercube animation.

I’ve been facinated by the fourth dimension for really quite long, this gif goes between a hypercube in 0,1,2,3,4 dimensions and back again.

mc daehyun ft 4d jongup + clueless junhong

*Oh my gosh, TaeTae looked so legit sad when the kawaii cushion fell on the ground.*

*plot twist:* Niall opens his own tattoo removal service but instead of charging his boys money he trades them one tattoo removal for one more year in the band

so where’s the spongy membrane on this alien..?

Wait for it………..

Cr. DOyourBEST_1214

N-Cube

An n-dimentional analogue of a square is called an n-cube, or a hypercube. They can be constructed by numbering the vertices using n base-2 bits.

n = 0

A 0-cube is just a point.

n = 1

A 1-cube is a line. Its vertices can be labeled using 1 bit.

n = 2

A 2-cube is a square. Its vertices can be labeled using 2 bits.

n = 3

A 3-cube is a cube. Its vertices can be labeled using 3 bits.

n = 4

A 4-cube is a tesseract. Its vertices can be labeled using 4 bits. This is where binary labeling of vertices can be especially useful, because it can help construct a tesseract.

he’s petting his own head that’s it this has ended me i can’t believe he’s doing that stupid gentle little petting motion thing he does to a flat poster of himself

4D Bom

Im Jaebum, GOT7’s

leader

Hypercubed