Fall 2008 Midterm

: Math in Art: Fall 2008 Midterm
   By Anonymous on Monday, October 13, 2008 - 02:27 pm: Edit Post

Are we allowed to use our permapaque markers in the exam to highlight different steps in constructions?


   By Sasho on Monday, October 13, 2008 - 02:35 pm: Edit Post

Yes; no problem with using markers.


   By Anonymous on Monday, October 13, 2008 - 02:51 pm: Edit Post

The last object in Question #4 of the 2007 Spring midterm lists a reflection of the bird image, however, each of the birds is facing the same way. Wouldn't that mean that the only symmetries are identity and translation?


   By Sasho on Monday, October 13, 2008 - 05:04 pm: Edit Post

In fact, the inserted figure a wrong: every second bird should face the other way. That is why the basic translation vector is so long. With the design shown there, you are right: there are no reflections.


   By Anonymous on Monday, October 13, 2008 - 05:23 pm: Edit Post

Will there be any questions resembling #5b in the 2007 midterm...the stretching factor of the Sierpinski triangle?


   By Sasho on Monday, October 13, 2008 - 05:26 pm: Edit Post

No; we have not covered fractals yet.


   By Anonymous on Monday, October 13, 2008 - 05:40 pm: Edit Post

Will we be allowed to use calculators for the sections pertaining to Fibonacci numbers?


   By Sasho on Monday, October 13, 2008 - 05:47 pm: Edit Post

No calculators willl be allowed.


   By Anonymous on Monday, October 13, 2008 - 06:12 pm: Edit Post

How would one go about constructing the perpendicular line segments for the beginning of a golden rectangle?


   By Sasho on Monday, October 13, 2008 - 06:22 pm: Edit Post

Construct the perpendicular to the base of the rectangle and passing through the end-point of the base. That construction is in the notes and in the textbook.


   By Anonymous on Monday, October 13, 2008 - 10:02 pm: Edit Post

How would you solve the following Fibonacci sequence:
f19 = 4181 and f22 = 17711. What is f20 and f21?


   By Anonymous on Monday, October 13, 2008 - 10:05 pm: Edit Post

The solution for constructing a Golden Rectangle is simpler in the textbook than the construction we did in class. Which should we be using on the exam?


   By Sasho on Monday, October 13, 2008 - 10:18 pm: Edit Post

1. Fibonacci question: solve
f21 = f20 + 4181
17711=f21 + f20.

2. Golden rectangle: whichever you want (clearly written and correct).


   By Anonymous on Monday, October 13, 2008 - 10:34 pm: Edit Post

So the answer to the Finonacci question is 17711=f21 + f22. We don't need to specify what the quantities of f21 and f22 are?


   By Sasho on Monday, October 13, 2008 - 10:55 pm: Edit Post

No. You need to solve the system of the two equations you see above, where f20 and f21 are the unknowns. The final answer should be two specific numbers, one for f20 the other for f21.


   By Anonymous on Monday, October 13, 2008 - 11:47 pm: Edit Post

So what are the next steps in solving the problem?
I had trouble with this in grade school as well :-(


   By Sasho on Tuesday, October 14, 2008 - 07:46 am: Edit Post

Put f20+4181 in place of f21 in the second equation: get one equation with one unknown (f20). Solve that equation to get the value of f20, then plug that in the first equation to get the value for f21.


   By Anonymous on Saturday, October 18, 2008 - 12:40 pm: Edit Post

when will the answers to the midterm exam be posted?


   By Sasho on Saturday, October 18, 2008 - 11:15 pm: Edit Post

After the deferred midterm is over (likely to happen some time coming week).


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