Folding Sphenoid Hendecahedron
The sphenoid hendecahedron is a unique and interesting polyhedron. As the name implies, a “hendecahedron” is a polyhedron with 11 faces, while “sphenoid” refers to a specific type of shape that is often unusual, asymmetrical, and typically wedge-shaped. This polyhedron fills space, packing 3D space without gaps or overlaps. Its convex shape allows it to tessellate efficiently. Therefore, space-filling polyhedra play a crucial role in understanding tessellations and geometric arrangements, showing how to occupy 3D space without leaving any voids or overlaps. In this short tutorial video, I am folding a sphenoid hendecahedron using its unrolled net.
In this video series, I showcase in-class exercises from the Architectural Geometry course I teach to first-year students. Using Rhinoceros software, we learn Euclidean constructions, basic drawing, and transformation techniques. In addition, we study introductory fractals, regular and semi-regular tessellations, patterns, 3D modeling, and the unrolling of polyhedra. These concise exercises are designed to benefit junior architects, interior designers, industrial designers, and anyone with an interest in related fields. I’ll be sharing these exercises weekly on my blog and other platforms. So, today’s focus is on folding a sphenoid hendecahedron in Rhinoceros software using the basic commands.
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 ‘Undertow’ by Scott Buckley (CC-BY 4.0). www.scottbuckley.com.au
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