Modeling Stellated Icosahedron
Stellation of polyhedra refers to the process of extending the faces (or edges) of a polyhedron outward to form new, more complex shapes. These new shapes, called stellations, are created by adding extra vertices, edges, and faces that “project” outward from the original polyhedron’s structure. You can create an infinite number of new polyhedral forms, depending on how you extend the faces and edges. In this short tutorial video, I am modeling a stellated icosahedron. I use basic modeling commands of Rhinoceros. Therefore, these exercises are for beginners and students. In this video, I utilized a 3D Euclidean construction using spherical intersections. I studied stellations earlier here using Grasshopper.
In this video series, I present a variety of in-class exercises from my first-year architectural geometry course. Using Rhinoceros software, we delve into Euclidean constructions, basic drawing, and transformation commands. Moreover, I studied introductory fractals, regular and semi-regular tessellations, patterns, modeling, and unrolling polyhedra. These concise drawing exercises are beneficial for junior architects, interior designers, industrial designers, and enthusiasts from other disciplines. I’ll be sharing exercises each week on my blog and other platforms. So, today’s exercise is modeling stellated icosahedron.
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 ‘Midsommar’ by Scott Buckley (CC-BY 4.0). www.scottbuckley.com.au
Cite this post
Related Posts
Modeling Excavated Dodecahedron
December 15, 2024
In geometry, the excavated dodecahedron is a star polyhedron that looks like a dodecahedron with concave pentagonal pyramids in place of its faces. In this short tutorial video, I am modeling an excavated dodecahedron in the Rhinoceros software. I use basic drawing and modeling commands. I aim to introduce this skill to beginner-level architects and designers. As the name suggests, this process includes the construction of the dodecahedron first. Then, the pentagonal faces of this polyhedron were “excavated” to the…
Modeling Dual of Dodecahedron
December 14, 2024
A dual polyhedron is a concept in geometry where two polyhedra are related in such a way that the vertices of one polyhedron correspond to the faces of the other, and the faces of the first polyhedron correspond to the vertices of the second. The process of creating a dual polyhedron is called duality, and it applies to many regular, semi-regular, and some irregular polyhedra. In the case of Platonic solids, the cube and octahedron are duals of each other….
Modeling and Unrolling Icosahedron
December 12, 2024
An icosahedron is a three-dimensional polyhedron with twenty triangular faces, twelve vertices, and thirty edges. It is one of the five Platonic solids and is highly symmetrical, with all faces being equilateral triangles. A regular icosahedron has equal edge lengths and angles between its faces, making it one of the most symmetrical shapes in three-dimensional space. In this short tutorial video, I am modeling and unrolling an icosahedron. I studied this beautiful solid here, here, and here before. The Icosahedron…
Modeling an Icosahedron
December 21, 2011
Today’s polyhedra is the beautiful icosahedron. It is one of the five Platonic Solids with twenty equilateral triangular faces. Its dual is the dodecahedron, which has pentagonal faces. Here, I explained the process of modeling an icosahedron. After creating a regular pentagon, you should find the “tip” point of the Icosahedron by intersecting spheres from at least three of the corner points with a radius of the pentagon’s edges. You can exercise Tetrahedron to understand how we find a point…
Icosidodecahedron
December 22, 2011
Icosidodecahedron is an Archimedian Solid, a thing in between the Platonic Solids of Icosahedron (d20) and Dodecahedron (d12). It is a rectified version of an Icosahedron, constructed by dividing every edge into two equal segments and joining these segments to create a composition of equilateral pentagons and triangles. Archimedian Solids consist of at least two equilateral polygons, whereas Platonic Solids are constructed by only one. We’ll deduce an Icosidodecahedron from Icosahedron below; First, you should create an Icosahedron, the Platonic…