parametrization

Happy Pi day!

This is just the first post for today. There’ll be two more, so be sure to check them out later if you miss them!

Here’s an arc-length parametrization of a closed curve for the Greek lowercase letter pi, famously used for the circle constant, π = 3.1415926535897932384626… (that’s what I bothered memorizing!)

Arc-length parametrizations are also called unit-speed parametrizations, because a point moving along the path will move with speed 1: the point moves 1 unit of arc-length per 1 unit of time.

It is generally very hard, if not impossible, to find this parametrization in closed form. But it always exists for nice continuous curves. Since it has some pretty cool uses, just knowing it exists is a powerful enough tool for mathematicians to use it on other cool theorems.

Using computers, we can usually approximate it numerically to any degree of accuracy we desire. The basic algorithm is pretty simple: just make a table of arc-length for each value of t. Then, the unit parametrization is just reading the table in reverse: find t given arc-length. Some interpolation is usually necessary.

Parametric processes have been used here to superimpose the contours and definition of silk undulating in the wind - a sign of its past. The wall consists of concrete blocks, angled to create an interesting texture and varying amounts of light. Inside there are two meeting rooms and exhibition areas. AU Office and Exhibition Space by Archi Union Architects photo Sheng Zhonghai

construct _ de-construct : live test 001 @ i'klectik

Big respect to the VJ London group for getting me involved to play last night. So many creatives in one room; I learned a lot. And shouts to my friends for rolling through! New visual project : construct _ de-construct coming very soon.
ph. Anna Makri

New visual project : construct _ de-construct coming very soon.

PROJECT : BACTERIA FACTORY
STUDENT ARCHITECT : WITCHAYA JINGJIT

King Mongkut’s Institute of Technology Ladkrabang, Bangkok,Thailand

“ Bacteria Factory “ is an innovative building project (Biotechnology Prototype Laboratory) whose design is an application of bacterial characteristics on architecture. In reality, bacterial organisms adapt and balance themselves in different conditions. This project investigates, analyzes, and reproduces specific characteristics of bacteria into an architectural design by utilizing the principles of Biochemistry and Parametric Designs as follows:
1. A building structure which imitates bacterial proliferation and movement in different times and conditions
2. A building facade which imitates a bacteria cell membrane whose pressure is self-balanced, flexible, and resistant in various conditions with energy production from photosynthesis and means of energy storage.

Apart from the aforementioned, the bacteria model also applies directly with the designing of wastewater treatment and electricity production systems which create a renewable energy cycle similar to that of living bacteria.