Dr. Sarah's 2-d into 3-d Homer Lab for Internet Explorer
Due THIS Friday the 1st at 5pm and counts as one lab
Revisions of this lab will be part of 3-d into 4-d Homer
Lab, which will be due Wed 6th and will count
as two labs (you will have part of next Monday's lab to work).
Homer
Changing into 3-d from
3-d Homer from Treehouse of Horror VI 3F04
(10/30/95)
Text transcript of
3-d Homer segment and Did You Notice?
by James A. Cherry
Text of Pacific
Data Images description of the 3-d special
Text of How did Pacific
Data Images do this?
Pictures of Homer
Changing into 3-d and 3-d Homer.
Letter from 3-d Homer to 2-d Marge
In most respects, the Simpsons already represent a 3-d world.
For next week,
we'll look at that more in depth.
But for now, assume that the Simpson's really were 2-d creatures living
in an x-y plane
and that Homer and Bart had made the transformation to 3-d creatures.
While a 2-d Marge
can't
really understand the 3rd dimension and would feel like there isn't any
room for another dimension,
she could
see weird behavior occurring that suggests
that the 3rd dimension exists (for example the "wall" that Homer
disappeared into).
2-d Marge wouldn't be able to comprehend the concept of
depth or an entire 3-d Homer,
since only 2-d pieces would make sense to her.
After answering the questions below,
write a letter from Homer Simpson to his wife Marge
which discusses his and Bart's change from 2-d into 3-d.
Be sure to include
mathematical explanations in addition to
physical descriptions.
Compare and contrast Homer and Bart's 2-d and 3-d
appearances.
Use the links above to
answer the questions below that will help you explore 2-d life.
Turn in this sheet filled out
and your letter and use the writing checklist.
Questions to Answer - Work in a Group of at Least 2 People and
Answer with BOTH a Sequence of Pictures and also with Words
For each of the following links,
read through carefully, watch the movies, read again, and drag through the
movie in
slow motion using your mouse. Then answer with PICTURES AND WORDS:
Davide Cervone's Movie Slices of a Cube Passing Through Flatland
(the blackboard)
Pretend that 2-d Marge is standing in the middle of the
right side of the gray shaded
square (far enough to the right that the cube never whacks into her!).
Notice that Marge's view of something passing through near her
will be very different from your view of what actually passes through her
plane.
What do we see when the first cube passes through her blackboard?
What would she see when the first cube passes through her blackboard?
What do we see when the second cube passes through her blackboard?
What would she
see when the second cube passes through her blackboard?
What do we see when the first cube passes through her blackboard?
What would she see when the third cube passes through her
blackboard?
Davide Cervone's Movies of the Formation of the Cube and Hypercube
Read the text to the right of the first movie. Then watch the first movie
and answer the following questions:
How is the cube formed from a square?
If 2-d Marge was standing at the bottom of the movie (near to the
controls), then what would she see as the cube was formed?
Some other questions
How could 2-d Marge and 2-d Lisa pass each other?
(Hint - think of them both on the blackboard.)
Could Marge eat if her mouth was located in the middle of
her head? Why?
Where would 2-d Marge's eyes have to be located? Why?
If an orange passed through the blackboard,
just next to a 2-d Marge,
what would she see?
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