# From Wolfram MathWorld

A geodesic dome is a triangulation of a Platonic solid or other polyhedron to produce a close approximation to a sphere (or hemisphere). The th order geodesation operation replaces each polygon of the polyhedron by the projection onto the circumsphere of the order- regular tessellation of that polygon. The above figure shows base solids (top row) and geodesations of orders 1 to 3 (from top to bottom) of the cube, dodecahedron, icosahedron, octahedron, and tetrahedron (from left to right), computed using Geodesate[poly, n] in the Mathematica package PolyhedronOperations` . The first geodesic dome was built in Jena, Germany in 1922 on top of the Zeiss optics company as a projection surface for their planetarium projector. In the geodesic domes discussed by Kniffen (1994), the sum of polyhedron vertex angles is chosen to be a constant. be the number of edges, the number of vertices, be the number of edges meeting at a polyhedron vertex and be the number of edges of the constituent polygon. .

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How To Build A Geodesic Dome: 268 Square Feet for \$300 DIY Ready How To Build A Geodesic Dome: 268 Square Feet for \$300 4.90/5 (98.00%) 10 votes How To Build A Geodesic Dome : Step by step instructions How To Build a 19′ 268 Square Foot Geodome Tensile structure Most tensile structures are supported by some form of compression or bending elements, such as masts (as in The O2, formerly the Millennium Dome), compression rings or beams. A tensile membrane structure is most often used as a roof, as they can economically and attractively span large distances. History This form of construction has only become more rigorously analyzed and widespread in large structures in the latter part of the twentieth century. Tensile structures have long been used in tents, where the guy ropes and tent poles provide pre-tension to the fabric and allow it to withstand loads. Russian engineer Vladimir Shukhov was one of the first to develop practical calculations of stresses and deformations of tensile structures, shells and membranes.

Geodesic dome Typically a geodesic dome design begins with an icosahedron inscribed in a hypothetical sphere, tiling each triangular face with smaller triangles, then projecting the vertices of each tile to the sphere. The endpoints of the links of the completed sphere are the projected endpoints on the sphere's surface. If this is done exactly, sub-triangle edge lengths take on many different values, requiring links of many sizes. Luis de Garrido Luis de Garrido Talavera (born 13 November 1967) is a Spanish architect. Luis de Garrido works with sustainable architecture in Spain. During recent years he has only accepted projects where very strict (chanta) ecological, health and environmental criteria are always respected. Biography Luis de Garrido studied architecture in the PUV Polytechnic University of Valencia where he graduated with a doctorate.

Timberline Geodesics The only tools you will need are: Socket Wrenches Hammers Ladders Scaffolding (desirable) Nail Gun (desirable) A 35' 5/8 sphere dome assembled by a group of friends and neighbors with no dome building experience. Dan's dome homepage One of the tricky things is to get all the paperwork & contractors organized so things happen in the proper sequence. The easy (and more expensive) way to go about this is to simply hire a builder to take care of everything for you, or you can act as your own general contractor and hire all the workers yourself, or, if you're handy and have a LOT of free time, you can do all the work yourself. I opted to go the second route, and save only the dome construction and a few other easy tasks for myself.

Mathematical Circles Topics Last Updated: February 18, 2011. Return to my home page. Want to send me mail? tomrdavis@earthlink.net. Build a homemade geodesic dome A Geodesic Dome Some years ago I built a geodesic dome out of ½ inch galvanized steel electrical conduit, to serve as an aviary for chickens and small parrots. I wrote a computer program to calculate the proper lengths of steel tubing, and draw the diagram shown below: Frameless Geodesic Dome What is it? It’s a frameless geodesic dome designed to be easy to fabricate and build. It is 18 feet wide at the widest point and about 13 feet tall. It feels very spacious for it’s 209 square foot floor. The dome shell is built out of 3/16” corrugated plastic and 3/4” blueboard foam insulation. The shell of the dome is a basically a foam board insulation sandwich.

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