Geometry in Architecture

architect base Cartesian Chapter chart classical solids corners cube-octa series cubocta decagon diagonal diamond dodeca dodecagons dome efficient volume enclosure ellipse enclose a given equator equilateral triangle exposed surface Figure flat pattern floor area four geometric solids GEOMETRY IN ARCHITECTURE Gerald Ratto given volume golden mean gons hemisphere hexagonal icosa icosa-dodeca series icosahedron illustrated Indianapolis Motor Speedway inside radius interior pyramids IRREGULAR CURVES isosceles triangles Lawrence Halprin least perimeter length-to-width ratio linked number of sides octa octagon Owings and Merrill pentagon perimeter efficiency Photo by Gerald process of truncation progression of fourths proportion Pythagorean theorem rectangle rectangular prisms regular antiprisms regular polygons regular prisms relationship rhombicubo right triangle roof series of shapes slope snub cube solid shapes sphere spiral square grid square root subdivision Successive approximations surface area surface efficiency tile pattern tion total surface truncated cube truncated octa truncated octahedron Truncated tetra walking distance width