Photo 29 Jul 76 notes bijoux-et-mineraux:

Epidote and Quartz - Imilchil, Morocco

bijoux-et-mineraux:

Epidote and Quartz - Imilchil, Morocco

Video 29 Jul 662 notes

mathhombre:

spring-of-mathematics:

Type of Spirals: A spiral is a curve in the plane or in the space, which runs around a centre in a special way.
Different spirals follow. Most of them are produced by formulas:The radius r(t) and the angle t are proportional for the simplest spiral, the spiral of Archimedes. Therefore the equation is:
(3) Polar equation: r(t) = at [a is constant].
From this follows
(2) Parameter form:  x(t) = at cos(t), y(t) = at sin(t),
(1) Central equation:  x²+y² = a²[arc tan (y/x)]².

You can make a  spiral by two motions of a point: There is a uniform motion in a fixed direction and a motion in a circle with constant speed. Both motions start at the same point. 
(1) The uniform motion on the left moves a point to the right. - There are nine snapshots.
(2) The motion with a constant angular velocity moves the point on a spiral at the same time. - There is a point every 8th turn.
(3) A spiral as a curve comes, if you draw the point at every turn(Image).

Figure 1: (1) Archimedean spiral - (2) Equiangular Spiral (Logarithmic Spiral, Bernoulli’s Spiral).
Figure 2 : (1) Clothoide (Cornu Spiral) - (2) Golden spiral (Fibonacci number).

More Spirals: If you replace the term r(t)=at of the Archimedean spiral by other terms, you get a number of new spirals. There are six spirals, which you can describe with the functions f(x)=x^a [a=2,1/2,-1/2,-1] and  f(x)=exp(x), f(x)=ln(x). You distinguish two groups depending on how the parameter t grows from 0.

Figure 4:  If the absolute modulus of a function r(t) is increasing, the spirals run from inside to outside and go above all limits. The spiral 1 is called parabolic spiral or Fermat’s spiral.
Figure 5: If the absolute modulus of a function r(t) is decreasing, the spirals run from outside to inside. They generally run to the centre, but they don’t reach it. There is a pole.  Spiral 2 is called the Lituus (crooked staff).

Figure 7: Spirals Made of Line Segments.

Source:  Spirals by Jürgen Köller.

See more on Wikipedia:  SpiralArchimedean spiralCornu spiralFermat’s spiralHyperbolic spiralLituus, Logarithmic spiral
Fibonacci spiral, Golden spiral, Rhumb line, Ulam spiral
Hermann Heights Monument, Hermannsdenkmal.

Image: I shared at Spirals by Jürgen Köller - Ferns by Margaret Oomen & Ferns by Rocky.

Spiral compulsion. But this is a handy reference.

Photo 29 Jul 65 notes thefortressofscience:

I’m on a roll today with all these fatties 

thefortressofscience:

I’m on a roll today with all these fatties 

Photo 29 Jul 69 notes the-donryu:

IT. WON’T. STOP.

the-donryu:

IT. WON’T. STOP.

Photo 29 Jul 1,596 notes compoundchem:

Chemistry meets astronomy in today’s post, with a graphical guide to the atmospheres of our Solar System.Read more about them here (there’s also a link to download the graphic, or to purchase it as a large poster): http://wp.me/p4aPLT-nV

compoundchem:

Chemistry meets astronomy in today’s post, with a graphical guide to the atmospheres of our Solar System.

Read more about them here (there’s also a link to download the graphic, or to purchase it as a large poster): http://wp.me/p4aPLT-nV

Photo 28 Jul 32 notes puffeduparts:

Just a doodle of Lily gaming on her yoshi 3ds xl~ I wonder what shes playing?

puffeduparts:

Just a doodle of Lily gaming on her yoshi 3ds xl~ I wonder what shes playing?

via LilyArts.
Video 28 Jul 183 notes

bootitude:

Deer wants do spend hibernation with bear boyfriend

via BOOTitude.
Video 28 Jul 773 notes

mensweardog:

Summer Style Unleashed

We’ve partnered up with our friends over at Gilt to bring you the best selection of GANT Summer must-haves so you can beat the heat in style. They’ve got drool-worthy duds for work, play and everything in between. 

Shop the sale at Gilt  

Video 24 Jul 62,496 notes

solar-citrus:

I’ve received a lot of letters from artists asking to check out their artwork and their blog, and I’ve noticed that a lot of them openly write unhealthy amounts of negative comments about their artwork, it was super depressing, honestly.  :(
Confidence plays a very very important role as an artist, it’s what helps us learn and grow without the constant feeling of doubt and jealousy!  You are a unique individual who must go down your own unique path, and as scary as it sounds, you can’t rely on others to hold your hand all the way through.  You are the only one who can get yourself to where you need to go, and beating up your artwork is not the way!  Trust yourself and your abilities to make a change, and you can do anything!!

Love your art, love yourself!

Photo 24 Jul 4 notes
Video 24 Jul 37 notes

sweethoneyhyena:

Fridge Logic

Tanuki often turn into things, have stuff put in them, and then transform back. It’s what they do. It’s tanuki stuff.

Photo 23 Jul 2 notes
Photo 23 Jul 66 notes
Photo 22 Jul 476 notes paintfox34:

Did I ever tell you I also got kicked out of cartoon network for flirting with Mordecai? I love that bird.

paintfox34:

Did I ever tell you I also got kicked out of cartoon network for flirting with Mordecai? I love that bird.

Photo 22 Jul 55 notes cowfox:

Toner whined and reached back to tug up the skimpy bathing suit he’d been forced to buy at the Resort’s shop. He’d outgrown the shorts he’d brought and now was overflowing and ripping apart this pair.
"I gotta stop going to the buffet" he whimpered, as he waddled toward that exact destination. He knew he shouldn’t be visiting for the third time since breakfast but his belly demanded it, gurgling with embarrassing intensity just half an hour after his last greedy snack. All that eating combined with the lazy atmosphere and enabling behaviors of the staff meant the dog was getting softer and softer in a hurry.

cowfox:

Toner whined and reached back to tug up the skimpy bathing suit he’d been forced to buy at the Resort’s shop. He’d outgrown the shorts he’d brought and now was overflowing and ripping apart this pair.

"I gotta stop going to the buffet" he whimpered, as he waddled toward that exact destination. He knew he shouldn’t be visiting for the third time since breakfast but his belly demanded it, gurgling with embarrassing intensity just half an hour after his last greedy snack. All that eating combined with the lazy atmosphere and enabling behaviors of the staff meant the dog was getting softer and softer in a hurry.


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