Postmodern

The page's most important function will be the brainstorming and discussing of potential PoMoHoWo questions, largely facilitated by members of the PoMoHoWo group.

To add a question for PoMoHoWo, post it on this page!

PoMoHoWo for the October 21st:

Consider the Mobius band we saw in class two weeks ago.



a) List some of the properties of the Mobuis band in terms of its geometrical description.

b) How does cutting a line along the center of a Mobuis strip change it? Is it still a Mobius strip? Does it become two identical halves?

c) Can you think of some practical uses for a Mobius strip in real life? / Where may you have seen Mobius strips before?

PoMoHoWo due on October 10/7:

1) Consider the following 8x8
 * __Chess Board (8x8):__**

X

a) Which rotations map the chess board to itself? (with 0 ≤ //θ// < 2 π) b) Which line reflections map the chess board to itself (possibly switching colors)? Indicate these lines with a diagram. (You do not need to give equations of the lines.) c) What translations of the pattern map the original pattern to itself?

2) Consider the following initial 8x8 chess board:



a) Which transformations of the black pieces will produce an alignment identical to the alignment of the white pieces? (The answer is a composition of transformations.) Is this composition of transformations commutative? (Note: Your answer does not have to include specific quantities; just give general translations, reflections, and/or rotations.)

PoMoHoWo Team
Leader: John Carges (johncarges@gmail.com) Coalition: Aaron, Tommy, Ben

PoMoHoWo Ideas for the HW due October 7!!!
Not sure what kind of ideas you guys originally had in the discussion BUT, start with ideas now so we can have a question by Tuesday:
 * Someone mentioned a class about birthdays
 * Geometries of NYC? Of the subway system?
 * Geometries of NYU? (Sorry these are vague - I'm not really part of the PM team)
 * Mathematics as a Culture

Are PoMoHoWo ideas and questions testable material?
TL: **No, they are not.** The closest is that I may assign you a short essay on the exams, but the focus of this essay will be primarily related to the classical material from the textbook and lecture notes.

** Homogeneous Coordinates and 3D Computer Graphics: ** Without the proper web skills to have the idea/question(s) paste directly onto the Postmodern page while preserving all the equations used, the document has been embedded into the page. Please click the below link to download and view.