Architectural Geometry, Band 10Bentley Institute Press, 2007 - 724 Seiten Architectural Geometry is the first book to introduce a revolutionary new approach to design. Geometry lies at the core of the architectural design process. It is omnipresent, from the initial form-finding stages to the actual construction. Modern constructive geometry provides a variety of tools for the efficient design, analysis, and manufacture of complex shapes. This results in new challenges for architecture. However, the architectural application also poses new problems to geometry. Architectural geometry is therefore an entire research area, currently emerging at the border between applied geometry and architecture. Written for students, architects, construction engineers, and industrial designers – Architectural Geometry is a source of inspiration for scientists interested in applications of geometry processing in architecture and art. With over 700 pages, including 2,100 full-color images of built architecture, architectural projects, and artwork, Architectural Geometry takes readers from basic to advanced geometry then leads them to the cutting-edge of research in the architectural geometry field. |
Inhalt
Modeling the Winton Guest House | 3 |
Spheres Spherical Coordinates and Extrusion Surfaces | 17 |
Perspective Projection | 35 |
Urheberrecht | |
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algorithm angle approximation Archimedean solids architecture axes axis B-spline B-spline curve b₁ Bézier curve Bézier surface boundary C₁ Chapter circle compute cone congruence transformation congruent conic constant construction control mesh control points control polygon convex coordinate system corresponding cube cubic curve network cusps defined deformation degree developable surface discrete distance ellipse equation example extrusion function Gaussian Gaussian curvature geodesic sphere geometric helical hyperbolic paraboloid icosahedron image courtesy intersection curve mapped minimal surface motion NURBS object obtain optimization orthogonal osculating osculating circle P₁ parabola parallel projection parameter parametric representation planar curve Platonic solids polyhedra polyhedron position PQ mesh principal curvature principal curvature lines properties pyramid quad mesh quadratic quadrilateral radius roof rotational surface ruled surface S₁ scaling shape shown in Figure smooth spatial subdivision surface normals tangent plane three-dimensional top view torus translational surface triangle mesh vector vertex vertices Voronoi xy-plane y₁