给出了四个圆柱沿正四面体对称轴方向,六个圆柱沿正方体面对角线方向,六个圆柱沿正十二面体面心连线方向,它们公共相交部分的顶点坐标,表面积和体积.利用数学软件,绘出了它们的三维图形.
The vertex coordinates, surface area and volume of intersection of cylinders with regular tetrahedron, cube and regular dodecahedron symmetry are obtained. Those 3D figures are drawn by mathematics software.