five times a

analyzing architecture at any angle

Category: code

/5xa/ Graphics made with six axis industrial robot

Recently we took part in the exhibition called six.axis.made curtesy of Koło Imago.

Also we have created our website –



/code/txt/ Apollonian Gaskets in Python

Apollonian Gaskets are fractals that can be generated from three mutually tangent circles. From these, more circles which fill the enclosing circle can be calculated recursively.

I implemented this in python as a command line program that saves those as svg images. Below I will explain the math behind it and show some images.

1   How it works

The process of generating an Apollonian gasket roughly works like this:

We start with a triple of circles, each of which touches the other two from the outside. Now we try to find a fourth circle that is also tangent to each of the three. It’s easy to see that there are two possibilities for this: Either it lies in the middle of the three given circles (externally tangent) or it encloses them (internally tangent).

Figure 2: Three and four mutually tangent circles

Left: Three circles with different radii. Each is tangent to the other two.

Right: Two possibilities for a fourth circle that is tangent to the first three. Externally tangent (pink) or internally tangent (green). Read the rest of this entry »

/txt/ Your home could become one giant iPhone, courtesy of Apple

Last year, Apple announced a technology that will let you control the appliances in your home with Siri.

It’s called HomeKit. And if Apple’s plans work out, it will turn your home into one giant computer — like the iPhone, but everywhere.

The iPhone, like any other computer, is a piece of hardware built by a certain company that can run apps and games built by other companies and developers all over the world.

These apps expand the functionality and usability of your phone — if you could only use apps made by Apple on your iPhone, imagine how limiting the experience would be.

Apple is opening up similar opportunities with HomeKit by allowing developers to build new features and apps that run your home. Read the rest of this entry »

/vid/code/ iGeo algorithm examples