You can read and comment on what others write but at the end write your own answer.
1. Read the first chapter of Daniel Pinks book and write in the new post that will be created
2. Start SeeLogo Type in command line: NEW A
the copy and paste into the editor:
SIZE 3 [STARSK 1 5 STARSK 2 5]
Describe the picture you see.
3. In the picture that you created are many triangles. How many can you find? How can you be sure you are right and that are no more?
4. If you change the number 3 to 2 in the command above (and click Redraw) in what way does the picture change? Give a logical explanation
5. type NEW B
Then Paste into the editor and Redraw (Wait 2 means to wait 2 seconds)
STARSK 1 7
WAIT 2
STARSK 2 7
WAIT 2
STARSK 3 7
click redraw several times until you get a feeling of understanding or until you are tired and write down an explanation to what happened
6. What are the values of X and Y that make this picture in STARSK X Y
16 comments:
When I type in the first command I get a pentagon with a pentagram inside it.
I see 10 triangles but I feel that the picture could go on forever or that you could split the triangles and find an endless amount. I don't know if I can really be sure, I honestly think that I'm wrong because geometrically the pentagram can invert itself to infinity creating more than just 10 triangles.
When I change the 3 to 2 the picture gets smaller. I think that this is due to the line size but I am not that familiar with SeeLogo yet so I can't be too sure.
The picture starts out as a heptagon and then creates a very wide seven sided start that pushes against the sides of the heptagon. This creates 14 smaller triangles. When I click zoom I can see the last figure more clearly. This figure reminds of the game we played in class where we skipped corners and threw the pinecone in order to demonstrate how the pentagram functions. The last figure skips the second line and goes to the third and continues itself to create numerous triangles that overlap and fill the heptagon.
This exercise was really interesting although I'd rather draw it out myself on paper so I could follow each line and appreciate the figure to a fuller extent.
I thought the first chapter of A Whole New Mind was interesting. In the introduction, Pink talks about moving from the Information Age to the Conceptual Age. I do agree that I feel a shift happening in the world where we're so used to being able to getting information quickly, that we're bored now and need to move on to something else.
He also talked about the misconception of the left hemisphere and the right hemisphere. At first, people thought that the left hemsiphere was superior to the right. It wasn't until a man named Roger M. Sperry changed the way we thought about the brain in the 1950s. The left hemisphere thinks sequentially, it analyzes, and it deals with language. The right hemisphere thinks holistically, recognizes patterns, emotions, and nonverbal expression. I personally feel that I'm more in touch with the right side of my brain.
SeeLogo:
When you type in the first command you get a pentagon with a pentagram inside. There are 10 triangles on the surface but if you continue to divide the triangles, there are an infinite amount of triangles present. Changing the picture from 3 to 2 changes the size of the whole image making it smaller. When you type in the second command you see a heptagon. Two seconds later, it demonstrates what we did in class with the pinecone, skipping every two points making the sequence 1-3-5-7-2-4-6-1. Two seconds later, the sequence has changed from skipping 2 to skipping 3 making the new sequence 1-4-7-3-6-2-5-1.
Finally, drawing the picture that you showed was relatively easy. Just count how many points in the figure and see how many points it skipped initially. The command for that figure is starskip 3 8 because there are 8 points and it skips 3 points initially making the sequence 1-4-7-2-5-8-3-6-1.
I downloaded seelogo, but for some reason it wouldnt open up for me. First, it said application has generated and exception that could not be handeled...click cancel to depbug...so i did then it said Registered JIT debugger is not available. cordbg.exe !a 0xaec. Does anyone know what to do? thanks
I also could not get the new version of See Logo to work on my computer. I downloaded the old version but the commands that I was supposed to paste into the editor didnt seem to work. With this option closed I decided to play Planarity. I quickly found out I am not very good at it.
After playing for 20 minutes or so I started getting the hang of some of the boards. For me the strategy that worked the best was to find the dots that made up the edges of whatever jumbled shape was given and stretched them all the way out. This kind of gave me a rough outline of the shape and allowed me to move the interior lines to keep them from intersecting.
Overall I found that when I stepped back from the computer for a second and then came back I had a clearer mind and was able to think through the steps to solve the problem in a more organized fashion.
The first chapter of a whole new mind was pretty interesting and talked about something i had never thought about. Pink briefly discusses the other ages leading up to the conceptual age and hoe before it was more worker/labor related and how the conceptual age that we approach is more based on creativity, and empathizing. He discusses how the left brain is more rational, analytical and logical, but in the new conceptual age many will need to take advantage of their (what was thought to be much less used and inferior) right brain to expand and maximize success.
See Logo:
What i saw when i copy pasted the text into the editor was a pentagram inside of a hexagon. I counted the triangle both big and small and paying close attention to overlaps (which where confusing) i came to the answer of 20, and honestly i don't know whether or not it is right but thats what i got. When i switch the 3 to a 2 the image becomes smaller. The next thing i did was typed the text into the editor for NEW B and got kinda confused. AT first i saw a heptagon which changed intowhat looked like trapeziods then into a bunch of triangles. I slowed down the wait time 10 seconds in between to see if i could analyze each step longer but i still didn't really understand, but it really reminded me of the planarity thing we did in class where we had to untangle the complicated shapes with no overlap. ANd lastly i pasted the STARSK X Y into the see logo but it asked me what the numbers were and i tried guessing in declaring variables but was unsuccessful so i do not know what numbers make that star.
1. I found the first chapter of Pink's "A Whole New Mind" to be very interesting and I found that I could tie the concepts that he was talking about to topics I am interested in.
I thought it was very interesting reading about how the view of being left-handed, or how being right-mind dominant, has changed over time and how this has reflected our changing world. This goes back to the quote earlier in the book, that "Language is what separates man from beast. Language resides on the left side of the brain," (14). It is easy to see the root of this discrimination against left handers, because it was believed that the left side of the brain controlled our humanistic qualities. I remember hearing stories about discrimination against left-handers back a few decades ago. My mother's friend is left-handed, and she recalls that her parents were very concerned and that her teachers insisted that she use her right hand to write. I also recall speaking to teachers and others about why the SAT should no longer be as big of an impact in determining college admissions because of this emerging age.
However, we are now entering a new age, the "conceptual age," in which the characteristics that the left brain controls are not all that is esteemed and focused on. In the conceptual age, there is more of a focus on the whole, on "professional success" as well as "personal fulfillment," (3). The attributes that the right brain controls that people used to belittle, are now more valued and necessary.
I also recall an episode of Oprah with a a man named Dr. Oz discussing why it is important to see which eye is dominant, because it does not necessarily match which hand is dominant. Here is a link on how to determine that:
http://www2.oprah.com/health/oz/oz_20070521_350_115.jhtml
2. I see a pentagon with a pentagram inside of it.
3. To the naked eye, there are 10 triangles. However, one could continue to divide the triangles infinitely (I believe).
4. The whole picture gets smaller. I believe this is because it makes the whole ratio of the equation smaller.
5/6. I first see a heptagon. With each command, the shape becomes tighter and more concentrated. We discussed some of how the pentagram relates to the golden ratio in class. I would like to continue playing with seelogo to try and understand why this is and to look at the exact sequence.
After reading the first chapter of the a Whole new mind, I am reminded of something that was said in class at one point. Intuition is a right-brained sense, as Pink says. I remember one day when we were solving a problem together being told to try to feel the answer through intuition rather than the much more left brained and methodical approach. I really like the way we're trying to incorporate a more right brained approach to things that are usually approached very methodically.
I used SeeLogo to draw the picture of the star and the pentagon or pentagram. I count 35 triangles in the picture. I'm fairly certain this is correct... There are ten triangles that are readily apparent. There are ten more if you count triangles formed by two of the readily apparent single ones. There are ten more made up of three of the smaller triangles, one at each point of the outer pentagon, and one made from each of the vertices of the pentagon in the center of the star. Finally, there are five more that use a side of the pentagon and the opposite vertice.
Changing the 3 in the command to a 2 makes the picture 2/3 its original size by decreasing the length of each line by 1/3.
The next series of commands illustrates what's going on with figures of this type. It shows a figure with 7 sides and vertices. The first number changes how many vertices are skipped when connecting them with a line. For example, 2 skips every other vertice, and 3 skips every third vertice.
The values 3 8 for x and y produce the given picture.
A Whole New Mind allowed me to revisit information about the brain that i've learned in a psychology class. It puts into perspective how dependent one side of the brain is on the other. The right side of the brain is what sees the entire picture or situation, where as the left side is responsible for picking up on details that the right side missed. I find the old misconceptions of the brains functions interesting.Such as the notion that different areas of your brain control different skills, when in reality all skills depend on both side of the brain.
Without more right brain oriented thinking, the world would be a boring and more practical place. It's the conceptual thinking of the left side that brings us entertainment.
The image I got from the first command in SeeLogo was a pentagon with a pentagram inside. I counted about 15 triangles but realized that there were many more that could be counted. I don't think there is a defined number of triangles, it could be infinite. After changing the command the image decreased in size.
The next command starts off with a heptagon and then two alternating quadrilaterals inside of it.And then there are lines to and from all of the vertices's of the heptagon which creates many triangles inside of the polygon.
I wasn't able to figure out the numbers for the last figure. I think one of them is 8 though, since there are 8 triangles on the outside.
Mike,
Could you please give Credit (80 points for all the 8 students who submitted the HW on time. I will answer them individually by email and may post a general comment later. No late submission can be accepted. I do not have time to read them and we flow on with the river of Math.
Thanks,
--Dani
1. Pink's writing style is very casual and it makes the book a lot more pleasant to read than most other math books and it's certainly more interesting than a textbook. While I enjoyed this however, I was not terribly impressed with the information offered in the first chapter. I know that the book will get more interesting as it progresses (I've read a few chapters and it already has) , but as an introduction I wasn't terribly captivated. A lot of the information on left and right brain misconceptions were not new to me. In addition to this, Pink is very repetitive in presenting this information. He drills every concept, regardless of how small into our left and right brain!
2. The image created is a pentagon with a star in the center. This forms another pentagon inside the star, appearing upside down from the larger pentagon.
3. I counted 28 triangles or all different sizes. I have a feeling that there are more, but I couldn't determine a pattern so I was just sort of counting with my finger.
4. When the 3 is changed to a 2, the shape becomes 10% smaller. I'm sure if it were changed to a 4, the shape's size would increase by 10%.
5. I don’t really understand the pattern happening. More lines are being added to cross over the existing lines. This forms more triangles, but I'm confused about how many lines are added and what that has to do with the command.
6. The number command should be
3 8. It must be done this way without 1 8 or 2 8 already existing. Those will cause the shape to overlap several times, but commanded on it's own, 3 8 forms the shape.
This is a message for Dani that I posted before 5 under the name "christopher" but since you keep emailing me saying you don't know which chris is blogging, i decided to change my name to christopher LEE. sorry about the mixup!
Great work everyone. Looks good!
I really enjoyed the first chapter of a Whole New Mind. Being left handed, I do find myself less inclined toward analysis and drawn more to expressive things like writing or art. I do not, however, think that this is a hard and fast rule for everyone, but I did find that the idea related to me. I really enjoy the books so far in how it relates to thinking about thinking and ways to make the way we approach itellect and education a bit more holistic and accessible.
SEE LOGO:
After doing the excercise in this post, I started playing around with SeeLogo and came up with something that I found to be very interesting. In the building of Cathedrals, a central feature is the Rose Window. Famous Rose Windows include West Minster Abbey, Notre Dame, and many other cathedrals and state buildings. These windows are constructed by piecing together bits of stained glass to form a pattern or (sometimes) a religious scene. These windows are made using the same principles as the figures we have made in class. With regards to the windows, they are made using specific geometric principles to not only be aesthetically pleasing, but to also hold together firmly without shattering. Because I am a huge dork, I tried to mimic the pattern of one of these windows in Seelogo. I came up with one that mimics this window here: http://en.wikipedia.org/wiki/Image:Beverley_Minster_rose_window.jpg
Here is the formula for it:
SIZE 4 [STARSK 1 16]
SIZE 4 [STARSK 8 16]
SIZE 4 [STARSK 1 32]
SIZE 4 [STARSK 2 16]
CIRCLE 30
CIRCLE 320JT
I have no idea if I am the only one to find this interesting, but I figured I would share it with the group anyway. The Wikipedia article on Rose Windows is pretty interesting too.
I enjoyed the first chapter of a Whole New Mind. While I honestly don't know if I would be a right brain or a left brain person, I do believe in embracing both sides of my brain. That said, I definitely operate more on feelings and "hunches" rather than logic. As my father says, there's the normal way of doing things and then the "brandon" way, where I just approach things with my own method. Sometimes it's wildly successful and sometimes not. Which is probably one of the reasons I have such a hard time in Math. Math is full of rules and there isn't wiggle room. Which is why I am an English major instead of a Math major lol. I can appreciate Math and understand its importance and I have a lot of respect for people who grasp it. But I am decidedly not meant for Math. I need things in life to be more fluid and allow me to apply my own thought processes to them, in other words I need things to be more abstract, rather than confined.
As far as See Logo goes:
1. The first exerice produces a pentagon and a pentagram.
2. I can find about 30, I think it really depends on how you look at, there may be a lot more.
3. It shrinks, I'm guessing because you lowered the number, therefore the size lowered?
4. The pictures starts off as a shape with a lot of sides then sort of "blossoms" into more shapes.
5. I'm confused about how to find their value.
2. A pentagram inscribed in a pentagon
3. There are ten triangles that do not have bisecting lines. There are 5 more big triangles that are made of the one line of the pentagram and two outside lines of the pentagon. You can also use two lines of the pentagram and one side of the pentagon to make 5 more triangles. Each of the second set of triangles can also be looked at as two smaller triangles (which are really just adding one of the small triangles from the first set of ten to either of another two triangles. The pentagram by itself is also made up of 3 large triangles. So far I have come up with 33 triangles, which seems like a good number - so I will stop there.
4. The picture is drawn at a smaller scale.
5. A pentagon is drawn then lines go to all the opposite sides and then lines go tall sides.
6. 3 and 8
*5. first it draws a septagon, then it connects the opposite sides and then all sides
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