The elements that are found in all three versions are:
the three pigs
the big bad wolf
the three houses
thngs happen three times
the last time works
The elements that are found in most versions are:
"And I'll huff, and I'll puff, and I'll blow your house down!"
"Not by the hair of my chinny-chin-chin..."
The story seems to tell children that
anything that is worth doing is worth doing well.
It is better to take your time and do a good job
than to hurry and do a sloppy job.
Maybe you can see some other lessons as well.
Fairy tales and folk tales have been around
for a very very long time.
People used to tell those stories
way before they were ever written down.
They were passed on from generation to generation
through the oral tradition (by telling).
As the stories were told and retold by different people,
some details were forgotten,
while others were added.
Some were changed on purpose.
And that is why there are so many different versions
of the same story.
It would be fun to write a fractured fairy tale.
Think of different elements you can change.
Change the characters into different animals (pigs into cats).
Change the gender of the main character (boy into girl).
Change the role of the characters (bad wolf into bad pig).
Change the place where the story happens (forest into city).
Change the time of the story (old times into modern day).
Change what happens in the story.
Change the details.
Change the point of view (from the pigs' to the wolf's).
There are probably many other ways you can think of
to make a fractured tale.
HAVE FUN !!!