Parallelepiped with Edges on Three Skew Lines

Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
This draws a parallelepiped with edges on three skew lines.
Contributed by: Izidor Hafner (March 2017)
Open content licensed under CC BY-NC-SA
Snapshots
Details
The problem solved in this Demonstration was posed in [1, pp. 20 and 27].
Reference
[1] V. V. Prasolov and I. F. Sharygin, Problems in Stereometry (in Russian), Moscow: Nauka, 1989.
Permanent Citation
"Parallelepiped with Edges on Three Skew Lines"
http://demonstrations.wolfram.com/ParallelepipedWithEdgesOnThreeSkewLines/
Wolfram Demonstrations Project
Published: March 21 2017