清大暑期進修班Maple 6 作業 

12-1	Construct a surface which appears as a triangle along the x-axis,  appears as a triangle along the y-axis,  apprears as an astroid along the z-axis  and whose z-cross section are formed by ellipses.	MAPLE
12-2	Construct a solid which appears as an equilateral triangle along the x-axis,  appears as a half-ellipse along the y-axis,  appears as a circle along the z-axis.	MAPLE
12-3	Construct the Klein bottle with parametric equations             x = (a+cos(u/2) sin(v) - sin(u/2) sin(2v)) cos(u)             y = (a+cos(u/2) sin(v) - sin(u/2) sin(2v)) sin(u)                 z = sin(u/2) sin(v) + cos(u/2) sin(2v)	MAPLE
12-4	Construct the hyperboloid of two sheets given by the equation                        x2 - y2 - z2 = 1.	MAPLE
12-5	Construct the smallest sphere that contains the six circles each of which is  inscribed in a face of a cube.	MAPLE
12-6	Construct the part of the sphere                         x2 + y2 + z2 =1  lying outside the cylinder                      (x - 0.5)2 + y2 = 0.25.	MAPLE
12-7	Construct three tori of the same size each enclosing the other two.	MAPLE
12-8	Show that a certain section of a cube consists of a hexagon.	MAPLE
12-9	Construct the surface given by the equation                    (x2 + y2 + z2)2 = 2z(x2+ y2)	MAPLE
12-10	Construct the surface given by the equation  over the square [-2, 2] x [-2,2].	MAPLE
12-11	Construct the same surface located above the disc	MAPLE
12-12	Construct the graph of the function  as (x,y) ranges over the unit disc.	MAPLE
12-13	Construct the solid enclosed by the paraboloids                  z = 5x2 + 5y2 and z = 6 - 7x2 -y2.	MAPLE