Spider Goddess's Spinning Wheel

A web of wanderings and inspirational eye candy....

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.

historicaltimes:

The Lion Tamer of the Russian circus, Captain Jack Bonavita, poses with some of his lions. 1905.
kirbyfood:


MORE INFO




I wanna be this guy. ….

historicaltimes:

The Lion Tamer of the Russian circus, Captain Jack Bonavita, poses with some of his lions. 1905.

kirbyfood:

I wanna be this guy. ….

(via beasabird)

hardcorehousewife:

emmaphorisms:

Females grow pubic hair

Not all labias are symmetrical

Big clitorises are not unnatural

Vaginal secretions exist outside of sexual arousal

These secretions have a smell

Some more pungent than others

The female reproductive system is not dirty

The female body can be hairy and a bit smelly and it will appear different for everyone

And that’s okay

file under: shit i was not taught in school but fuck i wish it was

Yes!

(Source: emmaphorismz, via aka4ever17)

(Source: picatrixx)

Weekly challenge 6/1-6/7

unfuckyourhabitat:

Make the most of your “waiting” time. Most of us do things in our daily routine that involve having to wait around for a little bit of time (starting the coffeepot, waiting for dinner to cook, filling the bathtub, commercial breaks, that kind of thing). Make it a point this week to use this time to do some unfucking. Even if it’s only a minute or two of quick clean-up, you’d be surprised how much that little bit helps keep you on track.

Putting this into practice this week. I am hoping to make it a habit. My house is in need of a good “unfucking” and I began this weekend in earnest to do a thorough cleaning/purging. I want everything to have a place, and be in it! Perhaps I will take some “before” and “after” photos. That might be fun….

Truth!

Truth!

(Source: abookblog, via aka4ever17)