Answer :
Only triangles lines of longitude and latitude, define a set of simple polygons that approximate a sphere centered at the origin.
- In computer graphics, most of the time flat polygons (polyhedral) used to construct the simpler objects. These simpler objects will be further used to approximate the complex objects like sphere etc.For this purpose, number of lines of constant longitude and constant latitude will be taken.
- A set of quadrilaterals may be defined by taking the intersection of corresponding lines of constant longitude and constant latitude.It may be further simplified by taking (drawing) the diagonals for each quadrilateral, that produce a set of triangles.
- However, the Poles (that is meeting point for all the curves which have constant longitude) produces triangles as a result rather than producing the quadrilaterals. Therefore, only triangles can be used to approximate a sphere centered at the origin.
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