Five Points Yoga

Barrett's Blog

Author Archive

The Beauty of Chaos (by Gadi)

Posted December 30th, 2009 | 10 Comments » | Bookmark and Share


I studied chaos theory and fractals in my nonlinear dynamics classes studying Fluid Mechanics in grad school.  It turns out that a bunch of really cool and beautiful parts of our world behave almost randomly… but not quite: turbulence, weather, astronomy, biology, and many more.  In fact the chaotic nature of fluid visualization is one of the things that attracted me most to studying fluid mechanics.  I’m not the only one who appreciates it… the “Dancing Bag” scene from American Beauty is a great example.

So you can imagine how amazed and enthralled I was when Barrett brought this home!!!


Mandelbrot Cauliflower With Barrett

Romanesco Cauliflower With Barrett


This is a Romanesco Cauliflower.  Its pattern resembles a Mandelbrot set which is an equation that defined a group of fractals.

So, not only was I fascinated by this foods sheer visual beauty, I was also immensely curious about its origin and nature.  I immediately took about thirty pictures of it.  I’m including a couple here and hope that Barrett also posts some. (You can click on the pictures to see the full size images!)


Romanesco Cauliflower

Romanesco Cauliflower


The depth of the pattern is mesmerizing.  That is basically  what attracts us to images of fractals.  But when you see them occur in nature – well… that’s when it really blows your mind.  There is some design happening in nature which creates these patterns.  I for one believe it is simply the biochemical signals determined in DNA.   But don’t get me wrong, in my opinion that is no less amazing than some divine power.

The other side of this beauty is the technical…  turns out the mathematics of chaos isn’t really that complicated.  The fundamentals are basically just arithmetic.  While it might make me cross-eyed or give me math anxiety (seriously, I totally get it), I still find it amazing that such complex looking beauty can be very simple.

For example, the  Mandelbrot set (which the Romanesco Cauliflower resembles) is basically defined as:

zn+1 = zn2 + c

So, if C=1, and Z0=1, then the set is: 1, 2, 5, 26, ….  It turns out it’s a little more complicated than this, but not a ton more complicated – though the equations might make it seem that way.

I’ll leave you with one more image of this amazing food!

Oh… and it tasted exactly like a cauliflower.  No different at all.  Yummmmy!


Mandelbrot Cauliflower

Romanesco Cauliflower


Posted under Food, Guest Poster

Vote Mindfully

Posted October 31st, 2008 | 8 Comments » | Bookmark and Share

Hi there. I’m Gadi, Barrett’s boyfriend, and I have the distinct honor of being the first guest blogger.

We have been following the presidential elections for what seems like forever. And the time has come to actually cast our votes. I’d like to share with you in this post some of the resources I use to become a more informed voter.

Like many of you, Barrett and I have had many discussions about the political issues of the day; taxes, the economy, the wars, health care, and education. We’ve gossiped about the latest game changers and gaffs with our friends. And, we have poured over polls, political blogs, opinion pieces, and TV pundits views, but now it’s time to vote.

I’ve made up my mind about who to vote for President; however, on my ballot there will also be candidates for local races and ballot questions. In order to make a more informed decision I’ve gotten into a habit every two years of researching the details of my ballot.

So, here are some resources to help you vote mindfully.

1) Find out where to vote.

I highly recommend going to your state’s Secretary of State website. For those of you in Massachusetts you can find out where to vote at the where to vote link (this form is a little temperamental, but stick with it, the results are great).

2) Find out who is on your ballot.

Again the Secretary of State web site is likely a good source for this. In my case I was able to get a list of all the choices on my ballot. Here is what my ballot will look like.

Another site that has a fair bit of information on what you are likely to see on your ballot is votesmart.org. Here is a list of candidates and elected officials for my ward on their site.

3) Find out what the ballot questions are.

These are sometimes worded awkwardly so you aren’t entirely sure which way you are voting. I don’t think this is intentional, just a consequence of legalese and an attempt to be very precise. Sometimes it leads to not very readable prose.

Once again, I found the Secretary of State web site to be the best resource for finding out what the actual ballot measures are. I found the links on the left panel of this page (Question 1) provide the most detailed information about the ballot questions.

4) Finally, find out why.

I have found a couple of non-partisan sites that are somewhat useful for comparing candidates on the issues.

On votesmart.org candidates are asked to fill out a positions survey called the “Political Courage Test” (or “Issue Positions”). Unfortunately, few candidates have filled out this survey. To see how awesome these are check out my Congressman Michael Capuano‘s positions or my State Legislator Alice K. Wolf’s.

Still there is a ton of other information on each candidates page that makes this site really helpful. Check out the candidates for this years Senate race in Massachusetts:

Another decent site for positions of candidates is OnTheIssues.org. It’s definitely more geared towards national races but it still has good information about the candidates. For example, here are the pages for the candidates for this years Senate race in Massachusetts:

I know I’ve thrown a lot of links at you, but I hope this information helps you learn in more detail what choices you have on Election Day.

Finally, I am not in any way claiming that these resources are the be all and end all. Rather I think they are something to start from. Do you have any other sites that you really like? If so, please let me know!

Posted under Education, Local Interest

|