Video 7 Jul 41,991 notes

fatiloquent:

sevenscorpions:

shingekinobuttcracks:

ykoiwai12:

Attack on Pokemon!!!

 no

WHAT

it would be cool if this would not

Text 31 May 30,298 notes

wirrus-and-toreep:

People who say they’re bad artists but when they draw they’re like:

image

(Source: giornah)

via LOL GIFS.
Text 18 May 235,412 notes

69shadesofgray:

"how did you lose your virginity?"

image

via LOL GIFS.
Video 15 May 212,688 notes

suggestivecacti:

oh my god

the squirrel

is trying to bury

the nut

in the dog’s fur

and the dog is just like

um

excuse me

sorry

but i’m not designed for that

sorry

(Source: youtube.com)

via LOL GIFS.
Video 15 May 75,544 notes

ramavoite:

goldencave:

ladies and gentlemen, the coolest president ever

People may or may not agree with his politics but Obama as a person is seriously amazing.

(Source: skyisawake)

via LOL GIFS.
Video 15 May 1,852 notes

fouriestseries:

Non-Orientable Surfaces

An orientable surface is a surface on which it’s possible to make a consistent definition of direction. Most surfaces we encounter – like spheres, planes, and tori (doughnut shapes) – are orientable. When visualized in three dimensions, orientable surfaces have two distinct sides.

Non-orientable surfaces, on the other hand, have only one side. From Wikipedia, “The essence of one-sidedness is that [an] ant can crawl from one side of the surface to the ‘other’ without going through the surface or flipping over an edge, but simply by crawling far enough.” At any point on a non-orientable surface it’s impossible to uniquely define, for example, the “clockwise” direction.

The GIFs above show two examples of non-orientable surfaces: a Klein bottle and a Möbius strip.

Mathematica code [Klein Bottle]:

xk[u_, v_] := (-2/15)*Cos[u]*(3*Cos[v] - 30*Sin[u] + 
   90*Cos[u]^4*Sin[u] - 60*Cos[u]^6*Sin[u] + 5*Cos[u]*Cos[v]*Sin[u])
yk[u_, v_] := (-15^(-1))*Sin[u]*(3*Cos[v] - 3*Cos[u]^2*Cos[v] - 
   48*Cos[u]^4*Cos[v] + 48*Cos[u]^6*Cos[v] - 60*Sin[u] + 
   5*Cos[u]*Cos[v]*Sin[u] - 5*Cos[u]^3*Cos[v]*Sin[u] - 
   80*Cos[u]^5*Cos[v]*Sin[u] + 80*Cos[u]^7*Cos[v]*Sin[u])
zk[u_, v_] := (2/15)*(3 + 5*Cos[u]*Sin[u])*Sin[v]
kb[u_, v_] := {xk[u, v], yk[u, v], zk[u, v]}
Manipulate[ParametricPlot3D[kb[u, v], {u, 0, umax}, {v, 0, 2*Pi}, 
   PlotRange -> {{-1.8, 2}, {0, 4.5}, {-0.75, 0.75}}, Axes ->
   False, Boxed -> False, PlotStyle -> {Opacity[0.65]},
   Mesh -> {20, 11}, MeshStyle -> 
   Directive[Gray, Opacity[0.65], Thickness[0.003]]], 
   {umax, 0.001, Pi}]

Mathematica code [Möbius Strip]:

xm[u_, v_] := (1 + (v/2)*Cos[u/2])*Cos[u]
ym[u_, v_] := (1 + (v/2)*Cos[u/2])*Sin[u]
zm[u_, v_] := (v/2)*Sin[u/2]
ms[u_, v_] := {xm[u, v], ym[u, v], zm[u, v]}
Manipulate[ParametricPlot3D[
   ms[u, v], {u, 0, umax}, {v, -1, 1}, 
   PlotRange -> {{-1.1, 1.5}, {-1.5, 1.5}, {-0.5, 0.5}}, 
   PlotStyle -> {Opacity[0.65]}, Axes -> False, Boxed ->
   False,  Mesh -> {20, 5}, MeshStyle -> 
   Directive[Gray, Opacity[0.65], Thickness[0.003]]],
{umax, 0.001, 2*Pi}]
Text 15 May 3,065 notes Visual Proofs

bloodredorion:

1/4 + 1/16 + 1/64 + 1/256 + … = 1/3


image


 

1/3 + 1/9 + 1/27 + 1/81 + … = 1/2

image


1/2 + 1/4 + 1/8 + 1/16 + … = 1


image


1 + 2 + 3 + … + n = n * (n+1) / 2


image


1 + 3 + 5 + … + (2n − 1) = n2


image


a2 + b2 = c2

image

 

CITATION ( source) :

Nelsen, R. B. Proofs Without Words: Exercises in Visual Thinking. Washington, DC: Math. Assoc. Amer., 1997.

One of my favorites of the visual math posts, specifically the top 3.

Video 15 May 248,119 notes

carryonmy-assbutt:

rozenstar:

taliabobalia:

long distance relationships

This made me laugh louder than it should

he has the magic touch that make all dem bitches scream

(Source: daniels-gillies)

via LOL GIFS.
Photo 12 May 75,353 notes iamnotdoingshittoday:

Historical footage of the last T-Rex serving his country.

iamnotdoingshittoday:

Historical footage of the last T-Rex serving his country.

via LOL GIFS.
Video 9 Apr 185,130 notes

Fox and Friends: Obamacare and Climate Change (x)

(Source: northgang)

via LOL GIFS.
Photo 1 Apr 191,562 notes deviantatheart:

rainbowsandunicornscrafts:

DIY Easy 2 Ingredient Sensory Rainbow Bubbles and Foam Tutorial from Fun at Home with Kids here.

I know there are Littles following me. They might enjoy this.
Photo 1 Apr 308,841 notes freshprinceofthefayz:

fangpants:

best part is that it’s even scarier when they lift the cup and nothing is there and they think it got out

i think you need a nap satan

freshprinceofthefayz:

fangpants:

best part is that it’s even scarier when they lift the cup and nothing is there and they think it got out

i think you need a nap satan

Photo 1 Apr 530,210 notes lachrymosa:

Slow down, grab the wallWiggle like you trying to make yo ass fall off

lachrymosa:

Slow down, grab the wall
Wiggle like you trying to make yo ass fall off

(Source: sheepfilms)

Video 29 Mar 311,260 notes

lifehackable:

Stretches that improve different aspects of your body.

Audio 27 Mar 32,688 notes

arousedower:

Let It Go - (8 Bit Version) 

(original song owned by Disney obviously but this remix or whatever belongs to me)

(sprite credit!)

(Source: nickcavemurderedme)

Played 249,731 times. via The Road Less Traveled.

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