Posts with the keyword fractal

Cesaro Fractal

In this study, I explore Cesaro Fractal, generated by Grasshopper. Usually, it is not possible to code recursive algorithms in Grasshopper. With the help of the Anemone add-on, these fractal curves are easy to model. I studied similar fractal algorithms here before. This one is very similar to the Koch’s snowflake. The only difference (as far as I understood) is the side of the spikes. Koch’s Snowflake generates triangular spikes […]

Fractals | Grasshopper || anemone | cesaro | fractal
December 19, 2023

Tattoo Design

Here is a tattoo design I am currently developing by using Grasshopper. 11 years ago, I developed a Grasshopper definition that approximates Julia Sets here. One of the experimental outputs of that definition looks suitable for a tattoo design. It is a beautiful fractal shape. But I am not perfectly sure about its suitability for a tattoo. Here it is: This was generated by the function z2+c and the parameters […]

Fractals | Grasshopper | Rhino Script || fractal | julia | tattoo | vb.net
April 27, 2023

Koch Snowflake Fractal

This is an implementation of the famous Koch Snowflake Fractal in Grasshopper. We will be using the Anemone add-on to handle the iterations. In this fractal, we start from an equilateral triangle. Then, we form new equilateral triangles, one-third of the side. So that each repetition protrudes in the middle of all the sides. In summary;1: Take a closed polygon and divide it into parts and divide each side into […]

Fractals | Grasshopper || fractal | koch | snowflake
April 12, 2023

Gosper-Peano Fractal Curves

Introducing the new YouTube channel for designcoding! The architectural Geometry playlist will contain video tutorials on several topics of basic geometry exercises for designers. Below are the introductory exercises of polyline drawing and some planar transformations such as scale and rotation. It is also an interesting plane-filling fractal you know I like it very much.

Fractals || design education | fractal | gosper
January 8, 2018

Gosper-Peano Curve in Grasshopper

Anemone components are still working great, extending the abilities of Grasshopper. Here, I studied a space-filling (or plane-filling) fractal called the Gosper-Peano Curve. You should be very careful about the number of iterations (the N input). Because it can crash your Rhino if you change it to more significant numbers. Also, you should have Anemone components installed in order to run this definition. The generator curve is a special one. […]

Fractals | Grasshopper || anemone | fractal | gosper | loop
August 19, 2017

Polygon Fractals with Rhino Python

We will see a simple Rhino Python exercise here. I called these Polygon Fractals (or Pentaflakes sometimes). It is both educational and fun to play with them. In Rhino, it can be a good exercise for basic CAD commands and transformations such as move, copy, and scale, and precision drawing operations such as object snapping. Also, in Grasshopper, it can be a good challenge for looping. In Rhino Python, it […]

Fractals | Rhino Python || fractal | polygon | rhinopython
August 2, 2017

Fractal Curves with Rhino Python

A simple Rhino Python script that generates fractal curves. An example is a test with the Gosper-Peano curve. However the script is not supporting segment directions, which is why the result is not the intended curve. Curve directions could be implemented in the future. # Drawing Simple Fractal Curves # 31.07.2017 www.designcoding.net – Tugrul Yazar import rhinoscriptsyntax as rs import copy initials = rs.GetObject(“Select Initial Shape”,4) referenceA = rs.GetPoint(“Place Reference […]

Fractals | Rhino Python || fractal | rhinopython
July 31, 2017

Fractal Trees

Based on this post, the problem of modeling tree-like fractal shapes is still a good question for the early years of computational design education. Last time, I used Rhino’s macro to study these fractal trees in an “impossibly” limited interface. But this time I used a VB.net script. Here is the code inside of the VB.net component: Here are the inputs. x is the number of iterations. The Crv input is […]

Fractals | Grasshopper | Rhino Script || fractal | loop | tree | vb.net
April 11, 2015

Binary Branching using Macro

Today’s design computing class was about fractals. In Rhino, writing macro statements are very easy to learn as it just mimics your behaviors in a sequential text. There are a few syntactic rules that we should know. First, you should watch the command line carefully to understand the steps of your design process. Each command in Rhino requires different inputs from the user. In macro, you may enter these values […]

Fractals | Rhino Macro || fractal | macro
April 15, 2013

Trees and Recursive Computing

This topic of trees and recursive computing is inspired by the method shown here at the Rhino Python 101 Primer. This is a beautiful method of recursion that creates tree-like shapes, composed of arcs. I constructed these arcs by using the Arc SED (start, end, direction) method. This requires start and end points and a vector that is tangent to the arc (at the start point). Therefore, the overall look […]

Fractals | Grasshopper || fractal | hoopsnake | loop | tree
March 15, 2012




       
       
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