Home   ·   About   ·   Tipi   ·   Yurt / Ger   ·   Dome   ·   Features   ·   Gallery About Overview License Tipi Overview Tipi Diary Yurt / Ger Overview Yurt Notes & Calculator Yurt / Ger Diary Yurt Builder Conference Living Notes Material Notes Dome Overview Geodesic Dome Geodesic Dome Notes & Calculator Geodesic Dome Diary Geodesic Polyhedra Polyhedra Notes Bow Dome Triangulated Bow Dome Star Dome Star Dome Diary Wigwam Zome Helix Zome Low Cost Dome (PVC) Miscellaneous Domes Features Overview Chris Aeppli Claudius Kern René K. Müller Geodesic Solitude Johnny's Capsule Geodesic Clay Mud Dome Jurtendorf (Switzerland) Neolithics of Pfyn Strawbale Cabin Dome Geodesic Dome Geodesic Dome Notes & Calculator Table of Content Introduction Overview of Variants How to Use the Notes Strut Options & Notion The Icosahedron The Octahedron The Cube The Cuboctahedron The Truncated Octahedron The Rhombicuboctahedron Building Models Real Life Application Links Geodesic Dome Diary Geodesic Polyhedra Polyhedra Notes Bow Dome Triangulated Bow Dome Star Dome Star Dome Diary Wigwam Zome Helix Zome Low Cost Dome (PVC) Miscellaneous Domes Site Search Enter term & press ENTER If you found the information useful, consider to make a donation:   Page << Prev | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | Next >> Geodesic Dome Notes & Calculator written by Rene K. Mueller, Copyright (c) 2005, 2006, 2007, last updated Tue, January 29, 2019 Building Models Building a model I think is very useful, you are getting an impression of the overall overhead, struts, connectors and even sewing the cover. Yet, a model cannot replace thorough investigation of the actual method and construction; I tend to make small tests in actual size for critical parts of a construction. Anyway, I made a couple of geodesic models, four of them I include here in more details. Please note, the notion of the strut types (lengths) A-F for 2V, 3V and the 4V Icosahedron models do not match the ones I listed previously, the strut notion for the models are those from DesertDomes.com which I used in previous version of these notes. In case you also used a different notion, you can easily map them to my notion, just compare the values, they are numerically the same, just the notion of A, B, C etc are different. 3V 5/9 Icosahedron Model 3V 5/9 Dome, build with bamboo sticks and PVC pipe as junction In order to explore the form deeper, I thought to start with a model - using easy available material like bamboo sticks from a garden shop. Other web-sites have some suggestions about building a model using PVC pipe as junction between dome struts, and this what I did then. So, I bought 150 bamboo sticks (10 packages a 15 sticks), 4mm diameter, 40cm long, and 9m PVC pipe outer diameter 6mm, inner diameter 4mm Cost CHF 18, € 12 or US$15. I used the 3V 5/9 calculator entered Alath+Blath+Clath = 40cm, and lhole = 0.5cm, and got my Alath, Blath and Clath to cut. r = 37cm, d = 74cm A = 11.9cm (x 60) B = 13.9cm (x 90) C = 14.2cm (x 120) so I actually cut for a full sphere, whereas the 3V 5/9 sphere only requires A x 30, B x 55, C x 80. Following cuts I made: 90x B+C 30x A+C 15x A+A Step by Step The material: bamboo sticks (40cm x 4mm, 150 pieces), PVC pipe (9m), cord 2005/08/30 14:27 2005/08/30 14:27 PVC junction, 1cm for each stick, 0.5cm junction = 3cm length 2005/08/30 14:27 6-way junction test 2005/08/30 14:27 2005/08/30 14:27 2005/08/30 14:28 My choice to bind it 2005/08/30 14:28 Preparing the cut of A, B, and C 2005/08/30 14:28 60x A, 90x B, 120x C 2005/08/30 14:28 All PVC cut 2005/08/30 14:28 The knot, step 1 2005/08/30 14:28 The knot, step 2 2005/08/30 14:28 The knot, step 3 2005/08/30 14:28 The knot, step 4 2005/08/30 14:29 Another approach to bind the PVC pipe, easier than with a cord 2006/02/04 19:00 A couple of junctions (all 6-way) 2005/08/30 14:29 3V 3/8 Dome 2005/08/30 14:29 3V 5/8 Dome 2005/08/30 14:29 2005/08/30 14:29 2005/08/30 14:29 2005/08/30 14:29 2005/08/30 14:29 2V Icosahedron Model As considered I used the left-over of the 3V and some spare sticks to build a 2V 4/8 Sphere: r = 18.3cm, d = 36.6cm A = 11.4cm (x 35) B = 10.0cm (x 30) 2V 4/8 Dome 2005/08/30 19:41 2005/08/30 19:41 2005/08/30 19:41 2V 4/8 Dome within a 3V 5/8 Dome 2005/08/30 19:41 2005/08/30 19:41 2005/08/30 19:41 2005/08/30 19:41 It has been quite some fun to build these two models, and also sense the stability within the dome while building it. 4V Icosahedron Model 4V 4/8 Dome I couldn't resist to build also the more complex 4V model, 250 struts to cut, from 63 sticks. So, D was 10cm, or 2D 20cm for the calculator: r = 32cm, d = 64cm A = 8.0cm (x 30) B = 9.4cm (x 30) C = 9.4cm (x 60) D = 10.0cm (x 70) E = 10.4cm (x 30) F = 9.5cm (x 30) So, B, C and F are very close, and since cutting so small bamboo so exact is hardly possible for me I made them all the same. The D and E I marked with color to distinct them. 4V 4/8 Dome (Closeup) Following cuts I made then: 60x C+D 5x D+D 30x A+E 30x B+F Step by Step Starting the 4V Model (also parts for other models) 2005/09/10 13:31 63 sticks 2005/09/10 14:13 126 sticks 2005/09/10 14:31 250 sticks: A, B, C, D, E and F 2005/09/10 15:25 The PVC junctions, 85x 6-way and 20x 4-way 2005/09/10 17:23 2005/09/10 17:35 4V 4/8 Dome Model 2005/09/12 14:48 2005/09/12 14:48 2005/09/12 14:49 2005/09/12 14:49 2005/09/12 14:49 2005/09/12 14:50 2005/09/12 14:51 2005/09/12 14:51 2005/09/12 14:51 2005/09/12 14:51 2005/09/12 14:51 2005/09/12 14:51 Size Comparison with Hand 2005/09/12 14:52 The 4V 4/8 dome came out very well, the 4mm pipe isn't narrow enough for the bamboo thereby the dome isn't as stable, e.g. when moving around. It would be better to have actually 1mm less diameter of the inner diameter of the pipe than the thickness of the sticks. So far, the 4V looks more filigree than the 3V I think, less edgy, obvious due higher subdivision. 2V/L2 Cuboctahedron Model 2V Geodesic Cuboctahedron Dome Geodesic Cuboctahedron Dome L2 Model (46cm diameter) Geodesic Cuboctahedron Dome L2 Model (Closeup) I made following model again with 4mm thick and 40cm long bamboo, and 6mm/4mm clear PVC pipe as connector. A quick check how to optimize the struts: Vertices/Connectors: 39 15 x 4-way 24 x 6-way Faces: 64 (3-sided) Edges/Struts: A x 24: 0.39018 B x 24: 0.42291 C x 30: 0.51764 D x 12: 0.54120 E x 12: 0.57735 total 102 struts (5 kinds) strut variance 47.9% diameter: 2.000, radius: 1.000 height: 0.943 or 47.15% of diameter So I optimize: 12 x (A + E) = 1.0 12 x (A + D) 24 x (B + C) 6 x C total 54 laths (A+E) = 1.0, therefore A = 0.403, B = 0.436, C = 0.534, D = 0.559, E = 0.596 (Alath+Elath) = ~20cm (using 27 x 40cm bamboo equal 54 x 20cm bamboo) lhole = 0.75cm, Alath = 7.5cm, Blath = 8.3cm, Clath = 10.6cm, Dlath = 11.1cm, Elath = 11.9cm I first calculated A+E (instead of Alath+Elath) which made the struts 0.5cm longer A and B, for C, D and E the error was neglectable, but the resulting dome looked strange, until I realized those 0.75cm do really matter at that scale of the model. So I recommend using lhole even you are doing a model at 10cm scale or so. Next Page >> Page << Prev | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | Next >> Content: Page 1: Table of Content, Changes Page 2: Introduction, Origin of the Geodesic Dome, Geodesize: Triangulate & Normalize, Procedure & Evolution of a Subdividing Triangle ... Page 3: Overview of Variants, Numerical Overview, Amount of Struts vs. Strut Variance, Amount of Struts vs. Strut Types ... Page 4: The Icosahedron, 1V/L1 2/3 Icosahedron Dome, 2V/L2 Icosahedron Dome, 3V 4/9 Icosahedron Dome ... Page 5: 5V 7/15 Icosahedron Dome, 5V 8/15 Icosahedron Dome, 6V Icosahedron Dome, 2V.3V Icosahedron Dome ... Page 6: 7V 10/21 Icosahedron Dome, 7V 11/21 Icosahedron Dome, 8V Icosahedron Dome, L4 Icosahedron Dome ... Page 7: The Octahedron, 1V/L1 Octahedron Dome, 2V/L2 Octahedron Dome, 3V Octahedron Dome Page 8: 4V Octahedron Dome, L3 Octahedron Dome, L3 1/4 Octahedron Dome, L3 5/8 Octahedron Dome Page 9: 5V Octahedron Dome, 6V Octahedron Dome, 2V.3V Octahedron Dome, 3V.2V Octahedron Dome Page 10: 7V Octahedron Dome, 8V Octahedron Dome, L4 Octahedron Dome, L4 7/16 Octahedron Dome, L4 9/16 Octahedron Dome ... Page 11: 9V Octahedron Dome, 3V.3V Octahedron Dome, 10V Octahedron Dome, 2V.5V Octahedron Dome, 2V.5V Octahedron Dome ... Page 12: The Cube, Preparing the Cube, 1V/L1 Cube Dome, 2V/L2 Cube Dome, 3V Cube Dome, 4V Cube Dome, L3 Cube Dome ... Page 13: 5V Cube Dome, 6V Cube Dome, 2V.3V Cube Dome, 3V.2V Cube Dome, 7V Cube Dome Page 14: The Cuboctahedron, Preparing the Cuboctahedron, 1V/L1 Cuboctahedron Dome, 2V/L2 Cuboctahedron Dome ... Page 15: 5V Cuboctahedron Dome, 6V Cuboctahedron Dome, 2V.3V Cuboctahedron Dome, 3V.2V Cuboctahedron Dome ... Page 16: The Truncated Octahedron, Preparing the Truncated Octahedron, 1V/L1 Truncated Octahedron Dome ... Page 17: The Rhombicuboctahedron, Preparing the Rhombicuboctahedron, 1V/L1 3/8 Rhombicuboctahedron Dome ... Page 18: Building Models, 3V 5/9 Icosahedron Model, 2V Icosahedron Model, 4V Icosahedron Model, 2V/L2 Cuboctahedron Model ... Page 19: Real Life Application, Options, Connectors, Separate Functions, Cover, 4/8 Sphere Cover Calculator ... Home   ·   About   ·   Tipi   ·   Yurt   ·   Dome   ·   Features   ·   Gallery Print   ·   Bookmark Creative Commons (CC) BY-SA-NC 2005-2017, developed, designed and written by René K. Müller Graphics & illustrations made with Inkscape, Tgif, Gimp, PovRay, GD.pm Web-Site powered by FreeBSD & Debian/Linux - 100% Open Source