| 
                       Questions about Reading Assignment:  
    
Name the two most important things/concepts  
  which you learned from the reading the chapter “The Architecture of Complexity”  
    
The section on The  
  Sources of Selectivity, and the section on Problem Solving as Natural Selection.  
1. give a one paragraph explanation  
  why you consider these concepts important   
I thought the sections  
  on how we solve problems and how we select various paths were the most interesting  
  concepts discussed in the paper. It is important in everyday life to solve problems  
  based on what you know, what you yourself have tried, what you observe in the  
  current state, as well as what others before you have accomplished. Without  
  selecting proper paths to lead you to useful solutions, you will no make much  
  progress in anything you do. Humans, all the way down to the most microscopic  
  organism exhibit these traits in some form, and this is what enables them to  
  survive and adapt. For those, reasons this concept seems extremely important.  
     
2. are the concepts relevant to your  
  work, to your interest, …. – if yes, why?   
These concepts are  
  not only relevant to work and interests, but to life in general. In work for  
  instance, you work with others and collaborate on a design. You build small  
  pieces which can be tested and evaluated, and then used or scrapped. It is important  
  to note that even failed attempts will, in the end, create a better product.  
  These concepts also emphasize the importance of incremental design. I think  
  a great example of this concept is raising children. You start off not knowing  
  anything (or knowing very little), and you draw from the experience of your  
  parents, friends, etc. You might read books or take a class to get more general  
  knowledge. If you later have another child, you draw from your own experiences  
  with your first, evaluating what worked, and what didn't.  
Questions about The Importance  
  of Representations in Design — The Mutilated “8x8” Matrix remark: check the  
  attached PDF file to see the graphical image    
The Problem: The associated PDF file  
  shows you a mutilated “8x8” matrix (the two opposing corners cut out) and a  
  domino block. One domino block covers exactly two fields of the “8x8” matrix.  
  Note: It is straightforward that one can use 32 domino blocks to cover a complete  
  “8x8” matrix. Question: Can one cover the mutilated “8x8” matrix with 31 domino  
  blocks? Remark: the major objective of this assignment is that you spend some  
  effort trying to solve this problem and answering the questions below — it is  
  not so important that you will succeed solving the problem! Also: engage in  
  some collaborative efforts solving it Please do the following (please structure  
  your answer accordingly — thanks):   
1. try to find an answer to this  
  problem! ‡ document briefly your thinking — including all the important intermediate  
  steps and failing attempts (i.e., create a “think-aloud protocol”)   
I started by confirming  
  that 31 was not easy by simply placing them in order. I had to find out for  
  myself and make sure the claim above was true. I then decided to break down  
  the 8x8 grid into smaller grids (four 4x4s) and try to solve the small grids.  
  This got me nowhere, as I quickly discovered that when connecting the grids,  
  I would fail. I tried to think of interesting combinations of blocks that might  
  not be so straightforward. For instance, blocks in different directions, not  
  completely linear. After trying about three different times, I saw myself getting  
  nowhere, and gave up. I searched google for a little bit, but found nothing.  
    
2. which resources did you use to  
  solve the problem?   
I used a pencil and  
  paper. I printed off the block grid (about 7 copies) so that I could document  
  my progress. I searched on google to see how others maybe had solved it, but  
  found nothing.   
3. which process did you use?   
I used a combination  
  of hierarchical logic and selectivity to try and see what worked. I broke the  
  grid down into smaller, more manageable pieces, and then used the multiple copies  
  of paper to selectively document progress.   
4. which practice (of you or others)  
  did you use?   
Mainly a trial and  
  error process.   
5. could computers be useful to solve  
  this problem?   
Yes, I think so,  
  although I think it may come up with the same solution I got.   
6. what have you learned solving  
  the problem: in general and for our course?  
I have learned that  
  it is important to take multiple approaches to solving problems, and that doing  
  it incrementally is crucial. It is also important to collaborate and draw on  
  others knowledge (symmetry of ignorance).    
7. what have you learned not being  
  able to solve the problem: in general and for our course?   
I have learned that  
  sometimes solutions don't exist, and that even though the solving of it failed,  
  the attempt is valuable in itself.   
Previous Assignments 
    			                    
                   |