Peano Iteration [Architectural Geometry Exercises #02]

by Tuğrul Yazar | August 14, 2024 12:36

I have been conducting a series of in-class exercises in the freshmen year architectural geometry course, focusing on Euclidean constructions, basic drawing and transformation commands, introductory fractals, regular and semi-regular tessellations, patterns, modeling, and unrolling polyhedra using Rhinoceros software. Junior architects, interior designers, industrial designers, and enthusiasts from other disciplines can benefit from these concise drawing exercises. I will try to publish two exercises every week on my blog and other platforms. So, this week’s exercise is Peano Iteration.

In this second exercise, you will continue to familiarize yourself with the Rhinoceros interface. You will use the drawing of a single polyline from the Peano curve exercise you finished earlier. Then use the rotate and copy transformations to place the smaller copies of the same shape to make a fractal. Finally, prepare a PDF printout using the correct scale and paper size for your drawing. Precision use of transformations is a fundamental skill in any architectural drawing. Thus, this and other exercises always seek precision and correctly scaled printouts. This video series will improve and move to more advanced topics in the upcoming videos. I previously studied Peano iteration and its parametric model in my previous studies.[1]

peano iteration

The software used in this course is Rhinoceros 3d (www.rhino3d.com[2]). If you want to find out more and see the whole list of this video series, you can check my YouTube channel at https://www.youtube.com/@designcodingnet[3] and my blog at: https://www.designcoding.net/. The music of this video is ‘Echoes’ by Scott Buckley – released under CC-BY 4.0. www.scottbuckley.com.au[4]

Endnotes:
  1. my previous studies.: https://www.designcoding.net/gosper-peano-curve-in-grasshopper/
  2. www.rhino3d.com: http://www.rhino3d.com
  3. https://www.youtube.com/@designcodingnet: https://www.youtube.com/@designcodingnet
  4. www.scottbuckley.com.au: http://www.scottbuckley.com.au

Source URL: https://www.designcoding.net/peano-iteration-architectural-geometry-exercises-02/