If 
, then
![\[an+bm\]](https://darelhardy.com/wp-content/ql-cache/quicklatex.com-7938ab2e2e932fb57d90e755932d6eb3_l3.png "Rendered by QuickLaTeX.com")
is a weighted average of 
and 
.
This simple idea is the basis for the way that a teenager gradually turns into a werewolf. Since 
, we can take 
and 
and create a series of pictures of 
as 
increases from 
to 
to observe Fred morph into a Werewolf. Note that if 
, then 
, and if 
, then 
. If is somewhere between and , then 
is some mixture of 
and 
.
It and are numbers, then it is not very exciting to watch morph into . More interesting is to take two pictures and , then create an animation that shows a series of pictures of as increases from to . Perhaps most interesting of all is to look at the case where and are three-dimensional objects.
In the examples, two objects and are given, the animation is shown, followed by a set of instructions for using Scientific Notebook to actually construct these animations.