如何用mathematica画三个圆柱体垂直相交部分固体的边缘

Question

1、Sketch carefully the solid enclosed by the three cylinders x2 + y2 = 1; x2 + z2 = 1,
and y2 + z2 = 1. 画出三个圆柱体垂直相交的固体。
3. Use a computer algebra system to draw the edges of the solid.
用代数系统画出该固体的边缘，恩，第三题看的不是很明白。
是第三个问题

Answer 1

RegionPlot3D[x^2 + y^2 <= 1 && x^2 + z^2 <= 1 && y^2 + z^2 <= 1, {x, -1.5, 1.5}, {y, -1.5, 1.5}, {z, -1.5, 1.5}]
把上面代码复制过去，shift+回车

追问

这是第三个问题吗，感觉和第一个很像

追答

第一个问题问的是叫你用手工画出图？第三个是要你用电脑画出来。

这个就是用mathematica画出来的图

追问

1用mathetica怎么画呢，还要求画坐标
Sketch carefully the solid enclosed by the three cylinders Indicate the positions of the coordinate axes and label the faces with the equations of the corresponding cylinders.谢

Answer 2

代码如下：
RegionPlot3D[x^2 + y^2 <= 1 && x^2 + z^2 <= 1 && y^2 + z^2 <= 1, {x, -1.5, 1.5}, {y, -1.5, 1.5}, {z, -1.5, 1.5}]

追问

1用mathetica怎么画呢，还要求画坐标
Sketch carefully the solid enclosed by the three cylinders Indicate the positions of the coordinate axes and label the faces with the equations of the corresponding cylinders.谢