1. Anandh Subramaniam & Kantesh Balani
Parallelepiped is a space filling solid
Given a general parallelepiped it is difficult to visualize that it is a space filling shape
The following set of slides shows how a parallelepiped can be obtained from a cube- which is easily visualized to be a space filling shape
MATERIALS SCIENCE
&
ENGINEERING
Anandh Subramaniam & Kantesh Balani
Materials Science and Engineering (MSE)
Indian Institute of Technology, Kanpur
URL: home.iitk.ac.in/~anandh
AN INTRODUCTORY E-BOOK
Part of
A Learner’s Guide

2. Start with a simple cubic latticez y x

3. Dilate the lattice along the z-direction

6. Contract the lattice along the z-direction

8. Shear on the z-plane in the y-direction

10. A general Parallelepiped