designcoding
About Table of Contents Keywords Monthly Archive
Support designcoding!

Drawing Gosper Unit

December 10, 2024 | Studios
#fractal #gosper-curve #rhinoceros #tutorial

In computer-aided design (CAD), a polyline is a series (or a chain) of straight lines. Each straight section of a polyline is a “segment,” and the points where the segments connect are “vertices.” If a polyline’s starting and ending vertices coincide, it is a “closed polyline” or a “polygon”. If they do not, the polyline is classified as an “open polyline.” Polylines can be planar (2D) or 3D. The Gosper curve, named after Bill Gosper, also known as the Peano-Gosper Curve and the Flowsnake is a space-filling curve similar to the Dragon Curve or the Hilbert Curve. In this post I explain the basic drawing method of the unit curve of this fractal, naming it as drawing Gosper unit.

Drawing Gosper Unit fractal, gosper-curve

In this video series, I present various in-class exercises I led in a freshman-year Architectural Geometry course. With Rhinoceros software, we study Euclidean constructions, basic drawing and transformation commands, fundamental fractals, regular and semi-regular tessellations, patterns, modeling techniques, and unrolling polyhedra. These short drawing exercises also offer value to junior-level architects, interior designers, industrial designers, and enthusiasts from other fields. I will share weekly exercises on my blog and other platforms. Here is the tutorial video: drawing Gosper unit:

The software used in this course is Rhinoceros 3d (www.rhino3d.com). However, if you want to find out more and see the whole list of this video series, you can check my YouTube channel at www.youtube.com/@designcodingnet. The music of this video is ‘At The End Of All Things’ by Scott Buckley (CC-BY 4.0). www.scottbuckley.com.au

Cite this post

Yazar, T. (2024, December 10). Drawing Gosper Unit. designcoding. Retrieved August 24, 2026, from https://www.designcoding.net/drawing-gosper-unit/

Related Posts

Drawing Gosper Curve

December 10, 2024

The Flowsnake, or Gosper curve is a space-filling fractal. It is also known as the Peano-Gosper curve. There are other similar space-filling fractals such as the Dragon curve, or the Hilbert curve. A space-filling fractal is a special type of curve, that fills a plane when iterated infinitely. This means, that if you continue to replace every segment of the polyline with the whole drawing, it will quickly become very dense and ultimately fill the plane without any gaps or…

Gosper-Peano Fractal Curves

January 8, 2018

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. I studied this particula fractal (Gosper-Peano) earlier here, and here. I find it very inspiring and educational.

Drawing Hexaflake

December 11, 2024

The term “hexa” generally refers to the number six, derived from the Greek word. It is commonly used in mathematics, geometry, and other scientific fields to indicate six-sided shapes or structures. A hexagon is a polygon with six sides and six angles. It is one of the regular polygons, meaning all of its sides and angles are equal. A hexahedron is a polyhedron with six faces. The most well-known example is the cube, which has six square faces, twelve edges,…

Drawing Koch Pentagon

December 11, 2024

The Koch pentagon is a fractal shape that starts with a regular pentagon. Here, we divide each side of the pentagon into three equal parts. Then, we replace the middle with two sides of an outward-pointing equilateral triangle. We repeat this process for every new side in each iteration, creating a self-similar pattern. Helge von Koch (1870–1924) was a Swedish mathematician known for his analysis and number theory work. He is most famous for introducing the Koch snowflake, one of…

Drawing Fractal Tree

December 11, 2024

A fractal is a complex geometric shape that we can split into parts, each of which is a reduced-scale copy of the whole. This property is self-similarity. Fractals often exhibit patterns that repeat at different scales. We can find fractals in nature, such as in snowflakes, mountain ranges, trees, and clouds. We can also generate them mathematically. Fractals have applications in various fields such as physics, biology, and computer graphics. We use them to model natural phenomena, compress data, and…

  • Chapters

    • Algorithms
    • Discourses
    • Fabrications
    • Studios
  • Explore

    • All Keywords
    • Table of Contents
    • Monthly Archive
    • #polyhedra
    • #unrolling
    • #archimedean-solid
    • #platonic-solid
    • #parametric-surface
    • #folding
    • #truncated
    • #relief
    • #icosahedron
    • #buckminster-fuller
    • #tessellation
    • #icosidodecahedron
    • #dodecahedron
    • #stellated-solid
    • #cuboctahedron
    • #octahedron
    • #tetrahedron
    • #deformation
    • #pattern
    • #euclidean-construction
  • Search

  • Support designcoding!

  • Enjoying designcoding? Support me on Patreon to keep it growing. Thank you!

  • copyright 2026 designcoding.net | about | privacy policy | end user license agreement