Video showing the method to draw variable stellations of an icosahedron. For more information, visit here. If you are interested in how we reached the initial solid, refer to the […]. I have come across several highschool topics I was afraid of. While I was searching for a geodesic dome definition in Grasshopper, it was quite surprising that I found an easier way of modeling an approximation of icosahedron, the famous platonic solid. Icosahedron was a research topic of this website at various posts before here, here and here.
In order to generate geodesic spheres, first I had to solve icosahedron. My first experiment was partially successfull. This is the simplest form of a Geodesic subdivision, creating two kinds of struts not all of […]. However, it seems impossible now. In geometric definition, platonic solid is a set of points, distributed on a sphere with equal distances. I found lots of information about these objects and mathematicians seem to love analyzing them.
They created different approaches to build an icosahedron. They defined exact relative coordinates of each point. This was a […]. Dodecahedron is a Platonic Solid with 12 equilateral pentagonal faces. First, put spheres at points a and c, with the radius of a to c.
Intersection of these spheres result a circle. We know that, every point on […]. Icosidodecahedron is an Archimedian Solid, a thing in between the Platonic Solids of Icosahedron d20 and Dodecahedron d It is a rectified version of Icosahedron, constructed with dividing every edge of it into two equal segments, and joining these segments to create a composition of equilateral pentagons and triangles.
Archimedian Solids consists of at least two equilateral polygons, whereas Platonic Solids are constructed by only one. After that, all faces should be […]. Icosahedron is one of the five Platonic Solids with twenty equilateral triangular faces. Here, Icosahedron is constructed by using pentagons. Truncated Icosahedron. Icosahedron Study.
Modeling a Geodesic Sphere. Icosahedron by Code. Drawing and Unrolling Dodecahedron. Construction of Icosahedron.If you want to scale an object in Rhino 5, then this information is just what you need. Use this easy step-by-step guide and in just a few minutes you can have an object scaled to perfectly fit in your design.
Follow these simple and easy steps to make your designs realistic. Rhino offers three ways to scale an object or curves. If you need extra help, ArchiStar Academy is here to help.
We offer several courses that will help you improve efficiency and your overall ability in Rhino. Get in touch with the ArchiStar Academy community via Facebook. An ArchiStar membership gives you unlimited instant access to all our online courses for Architects, Engineers and Construction firms. Business Case Contact Blog. Get Started for Free. Let's get started. Three options appear. Select the 'Scale 1D' option to scale an object in one direction.
Then, select the first box. This will scale non-uniformly in one direction only. You will need to provide a reference line or an origin point.
You can click this line to reference this edge. You can specify either a reference point or you can type in a factor. You can do the same for the height. You can reference the vertical line and increase it to your desired measurement. It now that will be exactly scaled to your measurements. If you do the same in the vertical direction, it provides the same result.
The ultimate - 3 dimensional scaling. Choose a reference line, and move your mouse to dramatically scale the object If you want to scale by a factor and know the distance, simply select it. Then, provide your reference point.
If you choose the vertical point, it will double that size. You can either intuitively pick a point to scale or type in a dimension for accurate resizing. For 3D, because it already knows it's going to scale in all three axes, just type in 'scale', pick the origin point and type in "2" or what you want - it will adjust accordingly.
Watch a Demo An ArchiStar membership gives you unlimited instant access to all our online courses for Architects, Engineers and Construction firms. Start Demo. Membership Pricing Check ArchiStar membership plans. See Plans and Pricing. Meet our Authors Blog.Try doing it with no referenced or typed inputs - so no text panels, internalized data, or manually set numbers.
March 24, 2012 - Regular Icosahedron
Share Tweet Facebook Facebook. Views: My attempt for now, I know there is a more effective way, plus my measurements vary slightly.
I like the rounding part ; Forgive me but faces are not welded there are 20 singular meshes I didnt want to weld it because I dont remember now which mesh components are standard GH. My attempt at the second challenge - creating it with no referenced or typed inputs.
Used a bit of maths to establish the ratios between the Icosahedral radius and the radius of the two inscribed Pentagons. The resulting Icosahedron is exact. Not a very elegant solution and still needs an input of 5 for the number of sides of a pentagon!Rhino Activity-04: Truncated Icosahedron, Buckyball, Football pattern
This Icosahedron is created using the radius of one of the internal Pentagons as a starting point. Using the above ratios however this simplifies to Rpent x Golden Ratio - 1. Nice, but I think the point is not to explain it, or show the definition screenshot on here for people who still want to figure it out themselves, at least not until the deadline is up : still great stuff.
Sign Up or Sign In. Added by Parametric House 0 Comments 0 Likes. Added by Iman Sheikhansari 0 Comments 1 Like. Added by Iman Sheikhansari 0 Comments 2 Likes. Powered by. Grasshopper algorithmic modeling for Rhino.
Home Members Listings Ideas. Current Discussions Legacy Forum.This multi-part tutorial will utilize Rhino 3D as well as Meshmixer — a free software from Autodesk that utilizes triangle meshes to clean up and repair 3D scans and models, mesh together model pieces and more. Meshmixer also has some interesting effects that allow for the production of wireframe models, which will be experimented with further on in this tutorial.
You can check out and download Meshmixer here :. Here is a preview of the final piece you will create in this project:.
Start by opening Rhino and using a template. Use the option: Large Objects — mm to give enough room to work with, and easily view the objects created in this tutorial.
Use the option Small Objects — mm. Save your project to the default Rhino as isocahedron. Create the following layers to organize your project. Delete any unused layers. Change the layer color of the Wireframe Layer to a brighter color, such as blue, for easier visualization later on in this tutorial. We will begin by building a wireframe model to map the icosahedron onto, by creating a Golden Rectangle. In geometry, a golden rectangle is one whose side lengths compose the Golden Ratio.
The Golden Ratio works out to be approximately 1. We will create a rectangle with a length Group the two shapes, and create 2 copies of the rectangle and square. Construct the wireframe by moving each shape group into place. Rotate the last shape group. Move the grouped shapes into place to form the wireframe model. Point to Move To : Snap to the Midpoint of the left side of the shape group centered at 0,0.
Your wireframe should look like the image below:. Move the final shape group. Point to Move To : Snap to the Midpoint of the interior square of the first shape group centered at 0,0. You will now have a wireframe composed of the three shape groups. Lock down the wireframe layer to avoid moving any of the shape groups during the following steps.This quick tutorial will show a more reasonable alternative to the electronspherewhich addressed the problem of distributing points evenly on a sphere.
Much more efficient than the electronsphere approach, though not quite as interesting. The geodesic dome and sphere are often credited to Buckminster Fulleralthough it is generally acknowledged that he did not invent the shape or concept, but rather investigated and expanded upon them.
Read more in the Wikipedia article on geodesic spheres. Additionally, the term buckyball is used to describe the truncated counterpart to the geodesic sphere. Buckyballs are found frequently in molecular science… and also in soccer. If you need to create a sphere in Processing just for decoration or whatnot, by all means, use the sphere command.
You do not need this level of complexity. As I mentioned, its one of the most straightforward ways to create an array of points on a sphere. Of course, you could also use this script in more physical applications: the coordinates it defines could be used to construct a real-life geodesic structure.
Dividing a triangle into four smaller congruent triangles is easy, as shown in the image. But what if we want to divide the triangle into any number of smaller triangles? The solution is a little trickier, but not too bad. It describes the relationship between the edge Points and the number of Points that should span between them. They are returned as an array. So the number of subfaces returned is equal to the number of subdivisions squared. Pretty cool. Now all we need to do is to project all of those subfaces to the sphere.
First, we start with a predefined Icosahedron. All it does is average the three Points that define the Face. Now if we take the centroid of each face on our sphere and render them, we get something like this: viva futbal! Looks like a buckyball to me. You can use the same methods to create a geodesic from any Platonic solid. Until then, have fun with the Icosahedron classes and final result. Tutorial 3: The icosahedron-based geodesic sphere. Contiguous U.
There is no one standard way to create a geodesic, but in general, the process is as follows: Create a Platonic solid.
Subdivide the faces of the Platonic solid to the desired level of resolution. Project the points of each subdivided face to the surface of a sphere. Why create a geodesic sphere? Constraining points to a sphere. Finding the centroid of a face. And of course, more about geodesics.
Still sound interesting?
Construct a Dodecahedron in Rhino 3D
Icosahedron to sphere First, we start with a predefined Icosahedron. There are a few imperfections in the strategy I used: There are some duplicate points. When each Face of the Icosahedron is subdivided, new Points are created along its shared edges.Download or buy, then render or print from the shops or marketplaces.
You can print these 3d models on your favorite 3d printer or render them with your preferred render engine. Please note that the 3D model database is only a Search Engine.
You should visit the original websites. Check for online 3d model conversions tools for your file format. Shown 1 of 3 pages. Next page.
Assembly icosahedron by himself! Icosahedron - Polygon SlowWood Acqua Icosahedron Icosahedron Football Icosahedron V Dragon With Icosahedron Icosahedral Sierpinski Sphere Latern IcoSphere and Geodesic Dome Florarium decorative Icosa Light Honeycomb Sphere Carbon BuckyballDid you use this instructable in your classroom? Add a Teacher Note to share how you incorporated it into your lesson. Click in the "Top" View to indicate the center of the polygon. Then click again to indicate the corner of the polygon.
Click adjacent corner for the "End of Rotation Axis". Think of this edge like a hinge that the surface will angle from. In the "Front" Window, select the uppermost point for "Start of Mirror Plane", then click the furthest uppermost point for "End of mirror plane". Introduction: Construct a Dodecahedron in Rhino 3D. By stefaniepender Follow. More by the author:. This tutorial will teach you how to construct a dodecahedron in Rhinoceros 3D.
Add Teacher Note. Select pentagon. Type PlanarSrf in Command Line. The curve is now a surface. Select Surface. Copy and Paste surface. Two surfaces are now in the same position. Making sure only one surface is selected, type "Rotate3D" into the Command Line. Click one corner of the pentagon for the "Start of the Rotation Axis". Type Continue to follow these steps until 6 sides of the form have been made.
Select the bottom half of the shape and type "Mirror" into command bar. Type "Orient3pt" in the Command line. Select the top half of the shape. Press enter. For "Reference Point 1" click the corresponding point on the top half of the dodecahedron For "Reference Point 2" click the corresponding point on the top half of the dodecahedron For "Reference Point 3" click the corresponding point on the top half of the dodecahedron For "Target Point 1" click the corresponding point on the lower half of the dodecahedron For "Target Point 2" click the corresponding point on the lower half of the dodecahedron For "Target Point 3" click the corresponding point on the lower half of the dodecahedron.
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