“Cupola”的概念、定义、习题解题方法及翻译-数学辞典

单词

Cupola

释义

Cupola

An -gonal cupola (possible for only , 4, 5) is a Polyhedron having Triangular and Square faces separating an and a Regular Polygon. The coordinates of the baseVertices are

(1)

and the coordinates of the top Vertices are

(2)

where

and

are the Circumradii of the base and top

			(3)
			(4)

and

is the height, obtained by letting

in the equations (1) and (2) to obtain the coordinatesof neighboring bottom and top Vertices,

			(5)
			(6)

Since all side lengths are

(7)

Solving for

then gives

(8)

(9)


			(10)

See also Bicupola, Elongated Cupola, Gyroelongated Cupola,Pentagonal Cupola, Square Cupola, Triangular Cupola

References

Johnson, N. W. ``Convex Polyhedra with Regular Faces.'' Canad. J. Math. 18, 169-200, 1966.

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