Transcript Slide 1

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
Part of
MATERIALS SCIENCE
& A Learner’s Guide
ENGINEERING
AN INTRODUCTORY E-BOOK
Anandh Subramaniam & Kantesh Balani
Materials Science and Engineering (MSE)
Indian Institute of Technology, Kanpur- 208016
Email: [email protected], URL: home.iitk.ac.in/~anandh
http://home.iitk.ac.in/~anandh/E-book.htm
Start with a simple cubic lattice
z
x
y
Dilate the lattice along the z-direction
Contract the lattice along the z-direction
Shear on the z-plane in the y-direction
A general Parallelepiped