Modeling and Unrolling Cube

by Tuğrul Yazar | December 12, 2024 09:21

A cube is a three-dimensional shape with six square faces, twelve edges, and eight vertices. It is one of the most familiar geometric solids and is a special type of rectangular prism where all sides are of equal length. A cube has a high degree of symmetry. Angles between its faces are right angles. It is often referred to as a “regular hexahedron”. Also cube is one of the Platonic solids[1], known for its perfect symmetry and simplicity. Nevertheless, the cube is a fundamental shape in geometry. In this short tutorial, I am modeling and unrolling the cube in a very unconventional way: using sphere intersections and synthetic methods. So, we focus on the reasoning and construction behind it.

modeling and unrolling cube

In this video series, I demonstrate in-class exercises from the Architectural Geometry course I teach to first-year students. Using Rhinoceros software, we explore Euclidean constructions, basic drawing and transformation commands, introductory fractals, regular and semi-regular tessellations, patterns, modeling, and unrolling polyhedra. Also, these short drawing exercises benefit junior architects, interior designers, industrial designers, and others interested in related disciplines. I’ll be posting exercises weekly on my blog and other platforms. Today’s exercise is about modeling and unrolling a cube.

The software used in this course is Rhinoceros 3d (www.rhino3d.com[2]). 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[3] and my blog at: www.designcoding.net/[4]. You can also check my Instagram page at www.instagram.com/designcodingnet/[5]. The music of this video is ‘Beyond These Walls’ by Scott Buckley (CC-BY 4.0). www.scottbuckley.com.au[6]

Endnotes:
  1. Platonic solids: https://www.designcoding.net/tag/platonic-solid/
  2. www.rhino3d.com: http://www.rhino3d.com
  3. www.youtube.com/@designcodingnet: https://www.youtube.com/@designcodingnet
  4. www.designcoding.net/: https://www.designcoding.net/
  5. www.instagram.com/designcodingnet/: https://www.instagram.com/designcodingnet/
  6. www.scottbuckley.com.au: http://www.scottbuckley.com.au

Source URL: https://www.designcoding.net/modeling-and-unrolling-cube/