## spiral

Final countdown has started until the jury of this semester’s Basic Design studio. Everyone is excited to see the products of this years architecture, interior design and industrial design students, while they are trying to set a higher standart for the exercise.  They’ll use both digital and physical media to unfold their design intentions about a systematic whole. Below is the current situation of our group together with Fulya Akipek, Nur Gürbüz and Alper Derinboğaz; We are discussing about geometric relationships that is becoming into a shape within a given […]

Grasshopper still surprises me. This definition draws a spiral by using random component. It is obvious that the seed value of the random component has a relationship with an archimedian or a similar spiral. My intention was to create a definition to put a number of random points inside a circular area, not a rectangular one. While I grow the radius of a circle and get a t parameter evaluation from a random component using the same seed value with the radius, the resulting points started to create this spiral. […]

This is a small exercise of Grasshopper drawing various archimedean spirals. It is just a polar point construct, mapped onto a range of angles and number of points. Constant a determines how fast the spiral will turn, whereas constant n is the 1/n power of the angle variable that gives unique names to the spirals. According to Woldfram Mathworld (here) constant n = -2 is named lituus, while n = -1 gives a hyperbolic spiral, n = 1 is a regular archimedes spiral and finally n = 2 will give […]

Sunflower (or Fermat’s, or Phyllotaxis) spiral can be constructed in Grasshopper3D according to the Vogel’s model of parametric relationships using polar coordinates. Definition file can be downloaded here [GHX: 0.8.0066] It’s a good example of utilizing polar coordinates. It’s also fun to play with parameters and constraints, also there are very interesting results if you also connect the polar angle value to the “z” of point component