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Golden section based method of 3D modeling of icosahedron and dodecahedron in construction design
| Content Provider | Scilit |
|---|---|
| Author | Vasilieva, V. N. |
| Copyright Year | 2019 |
| Description | Journal: Iop Conference Series: Materials Science and Engineering This paper provides an introduction of a three-dimensional modeling of the two most complex regular polyhedrons: icosahedron and dodecahedron. It is suggested to apply a method of the icosahedron and dodecahedron building by using rectangles with the sides ratio like in the golden section, and taking the icosahedron’s golden rectangles as a basis. The author gives information on the first mentioning of this building method by the Italian mathematician L. Pacioli in his Divine Proportion book. Based on this method, the building of the icosahedron and dodecahedron inscribed in the regular hexahedron and circumscribed about it is performed. This may be important for the design of facilities, based on the shapes of these geometrical figures, with inscribed regular hexahedrons for the purpose of a better organization of residential space of storeys. The examples of using the geometrical shapes of regular polygons (RP) in architecture are given. The building is performed using the AutoCAD package, but it also can be repeated in other known CAD software. |
| Related Links | https://iopscience.iop.org/article/10.1088/1757-899X/687/4/044049/pdf |
| ISSN | 17578981 |
| e-ISSN | 1757899X |
| DOI | 10.1088/1757-899x/687/4/044049 |
| Journal | Iop Conference Series: Materials Science and Engineering |
| Issue Number | 4 |
| Volume Number | 687 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 2019-12-01 |
| Access Restriction | Open |
| Subject Keyword | Journal: Iop Conference Series: Materials Science and Engineering Criminology and Penology |
| Content Type | Text |
| Resource Type | Article |
