Graphing 3D Models of the Shapes of Ethnical Buildings

The foundation of the Kazakh yurt is a cylinder of radius 1.5. The roof is a conical frustum around the line joining the sequence of points: {0, 0, 1}, {0, 0, 1.7}. The base radius of the frustum is 1.5 and the top radius is 0.5. Shanyrak is represented in this model by a sphere defined by a parametric equation. The equation is: (x,y,z)=(0.57cos(θ)sin(φ), 0.57sin(θ)sin(φ), 0.57cos(φ) + 1.4) with 0 ≤ φ ≤ pi/2 and0 ≤ θ ≤ 2pi. The door to the yurt is part of a cylinder also defined by the following parametric equation: (x,y,z)=(1.51cos(u), 1.51sin(u), v) with 0 ≤ u ≤ pi/8 and0 ≤ v ≤ 1. The last part of the model is the décor at the bottom of the yurt. It is also defined by a parametric equation of a cylinder. The equation is: (x,y,z)=(1.509cos(u), 1.509sin(u), v) with 0 ≤ u ≤2pi and0 ≤ v ≤ 0.3. The rho of this cylinder is slightly greater than the rho of the foundation of the yurt. This allows them to not overlap in Mathematica.

Siheyuan is a very standard quartet courtyard. The structure of the Siheyuan is multiple combinations of prisms and cuboids. For example, the roof is a prism with six peaks: {1.25, 0, 1}, {0, 0, 0}, {2.5, 0, 0}, {1.25, 8, 1}, {0, 8, 0}, {2.5, 8, 0}. The main structure of the house is a cuboid. The sample equation is Graphics3D [{LightGray, Cuboid [{0, 0, -1}, {2.5, 8, 0}]}]. The wall of the courtyard is also structured with cuboids. The sample equation is Graphics3D [{LightGray, Cuboid [{2.5, 0, -1}, {-8, 0.5, 0}]}].

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