
Egwald Mathematics: Geometry  3D House
by
Elmer G. Wiens
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Painters and computer programmers struggle with perspective to depict 3dimensional figures on a 2dimensional surface. On this page you can view the house from different pointsofview, by changing three parameters, theta, phi, and rho. These three parameters are the spherical coordinates of the point P, the pointofview of the observer.
rho = distance from the origin to P
theta = the angle between the xaxis and the projection
of the line from the origin to P onto the xy plane
phi = the angle from the zaxis to the pointofview line


The three dimensional coordinate system consisting of the x, y, and z axis is drawn in black. The pointofview of the observer, P, is drawn in blue. The perpendicular from P to the xy plane, and the projection of P on the xy plane, are in red.


The house is displayed from the pointofview of the observer. The xaxis (red), yaxis (green), and zaxis (yellow) spin with the house as the pointofview changes.


Change the parameters, the angles are in radians, and click "Graph House" to view the house from a different perspective.

