Helix-House: 3.Design Principles

The basic idea of the design principle used for the helix-house relies on the application of a computer code for graphics to develop the main construction of the building.This may be considered as a fundamental change versus the square and cube-based conventional design. Therefore the design based on computer graphics and coding with mathematical functions seem to be more complicated and abstract. It is indeed loaded with coding, debugging and running the computer graphics program compared to the drawing of rectangels on paper or by the aid of a computer. However the interactive coding, drawing and evaluating the graphic result opens your mind to a higer level creativity. That is the point, you increase your creativity by coding. Your creativity has two levels, the code level and the graphic output level. I admit, you need some training to get satisfiying results. I personally developped this creative method since decades first as computer art, later named digital art and refined to my purpose as Codism or Codismus, described it in other posts in Steinblog. The method of Codism is with the facilities of trial and error beyond the drawing of the main construction of the building a mighty creative tool from the footprint of the building to details of the construction. 

To apply the principle of Codism to the design of a Helix-House we use harmonic functions as the Sine and Cosine function in the graphics program. We demonstrate this by the minimalistic program in a Basic language for Windows MS SmallBasic shown below.

This is the final Graphic output achieved by a video sequence by the code shown, published under htttp://smallbasic.com/program/RRK765 

As the graphics show only the helix building we continue drawing outside and inside:

The code is published http://smallbasic.com/program/PLC074 . To get an impression of  the power of this method, a hands on experience is required. As first step an installation of smallbasic on MS Windows may be used, implementing the codes 

To design a building, the steps coding and drawing are iterated to find the result required. It uses the ideas of Codismus I posted in my Steinblog. This is a fundamentally new approach or recipe in architecture beyond the common practice of square and cube basied design or imagination as, homage to Frank Lloyd Wright, the Guggenheim museum. It could be classified as a succesfull inspiration by nature, a snail house. Onother approach, e.g. used by Antonio Gaudi for the Sagrada Familia cathedral , is the use of mathematical models as catenaries.

To demonstrate the power of Codism as creative tool we apply it to find more interesting  footprints for a helix-house than the circle in our first example. 

In this study we modify the radius ra of the outside of the helix-house by a form factor "form" in steps from 0 to 2, where 0 is the circle use in our first example. The frequency of our harmonic function for modification is called multiple. We choose Sin^2 for the harmonic function and a multiple of 1. The resulting drawing shows how the circle is streched to the left and right. If we would use a multiple of 1.5 we would get a threefold increase of the radius to a three-leaf clover footprint.

To demonstrate the result we draw a helix-house with the widest form 2 as above, based on the following code:

This is the helix house with the three-leaf clover footprint, achieved by using multiple=1.5 only.

This closes the chapter on the design principles of the helix-house scheme in short.