Luna is featured today on House Panthers!

This wonderful collage is from Diamond Emerald Eyes.
Check out more House Panthers.
It's also Cats on Tuesday.
Luna is featured today on House Panthers!

This wonderful collage is from Diamond Emerald Eyes.
Check out more House Panthers.
It's also Cats on Tuesday.
Well, after several weeks off, we resume our “primary highways” series with a trip to Pennsylvania. And once again, we find ourselves on I-80.
We begin with this interesting photograph from the completion of I-80 at the Milesburg Interchange, from the site pahighways.com. The east and west destinations are reminders why we keep coming back to this particular highway throughout the series.

I-80 traverses a path through the center of the state, though hills and valleys, mostly avoiding larger towns and cities. It is also famously windy and difficult to drive, particularly the eastern half. Indeed it has been cited as one of the “worst roads” multiple times by truck drivers and others. Nonetheless, it is quite scenic, and it does pass by a few notable places. Just south of that cool sign in Milesburg is State College, not surprisingly the home of Penn State University. This school is huge. There is Punxsutawney, the town made famous by the classic film Groundhog Day. Yes, they do have a groundhog there. On the eastern edge of the state, I-80 passes through the mountainous region around the Delaware Water Gap, a frequent “first stop” on trips heading west from New York.
In the northeast, I-80 also passes through the area that includes industrial towns such as Scranton and Allentown, which have been much talked about in the recent campaign. Hillary has some heritage here (and support). It is also where the media is looking for “drama” after Barack Obama's recent comments – I do sympathize with him, but I am holding back from jumping into that milieu. Let's get back to the road…

…much of the action is actually to the south, on Pennsylvania's other major east-west highway: I-76, the Pennsylvania Turnpike. It connects the major cities of Pittsburgh and Philadelphia, the capital, Harrisburg, and New Jersey. I have never been to Harrisburg or Pittsburgh – though I can name all three rivers, which I leave as an exercise to the reader.
According to the site Philadelphia Highways (part of pahighways.com), “Interstate 76 happens to come through the city just a few miles from where the Declaration of Independence was signed in 1776.” Seems like too much of a coincidence, but it is actually the most appropriate number on the interstate grid. And for actual proximity, I-676 and I-95 are even closer to Independence Hall:
Philadelphia has an interesting dual identity. One is its central role in the history and “mythology” of the United States. (One of the “myths” is that is was the first capital. That was actually New York!) The other is simply being the sixth largest city in the U.S., with life and culture of its own outside the historical sites. It also has a reputation as one of the more dangerous cities. Nonetheless, I have visited several times with no negative experiences. I do feel bad for cities that have a lot to offer, but get tagged with that label. New York certainly went through that as well. We will see how things go for the “City of Brotherly Love” – I would certainly welcome comments from anyone who has lived there…
And we can't close this article without mentioning I-99. I-99 is infamous among some highway enthusiasts for being numbered so inconsistently with the rest of the grid, and for being a construct of pure political vanity. Again, from pahighways.com:
In 1996, Representative Bud Shuster who acquired funds for the upgrading of US 220, had this highway designated an Interstate in Section 322 of the National Highway System Designation Act of 1995…Bud had his highway designated I-99 and had the designation written into law. It was bad enough it runs past his son's car dealership, and violate Interstate highway numbering system too! It should have been numbered I-576, 776, or 976. I like the last…a fitting number for someone that had been under investigation for illegal highway funding acts.
The currently completed section if I-99 takes us back to State College, where we began.
Submitted by Dick Cravens from stolenflowersmedia:

Very “artistic” black-and-white photo of a black cat and music.
Stolenflowersmedia has streaming audio and video, definitely worth a look.
Check out more black cats on Midnight Monday at House Panthers.
Cats, geometry, mathematics and art have been a theme of late here at CatSynth.
Remember this photo of Luna next to one of our geometric glass tables? Well, Luna seems to quite enjoy spending time in and around it. So there is now quite a collection of photos contrasting her organic shapes with the linear geometry of her surroundings:


We had some more surreal green kitties this past Wednesday. And Luna gets into the “green theme” as well:

And with Earth Day approaching, “green” seems quite appropriate. Of course, it's always green here at CatSynth with Luna's emerald eyes.

Weekend Cat Blogging #150 is being hosted by Mog, Meowza and Cece at Mind of Mog.
The Bad Kitty Cats Festival of Chaos will be held at the Cat Blogosphere.
This Sunday, the Carnival of the Cats will be hosted by Aloyisius at Catymology.
And of course the Friday Ark is at the modulator.
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I was looking for a quick way to combine cats and mathematics this morning, and came across the book Calculus for Cats
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This is a book for people about to take calculus, and for survivors of calculus who still wonder what it was all about. It gently explains the basic concepts and vocabulary without making the reader ever do a single problem.
Basically, the book draws (quite literally) an analogy between the fluid motion of cats at play (or in pursuit of “prey”) and the concepts and techniques of calculus, which focuses on continuous functions.
We at CatSynth remember calculus fondly as a mathematical pursuit. But number theory is more my thing. Calculus primary concerns itself with continuous functions of real and complex numbers, while number theory deals with discrete entities, like integers. But in mathematics, all things are interconnected. For example, we demonstrated the connection between the gamma function, pi and factorials, combining continuous and discrete concepts.
Consider the function π(x), the prime-counting function. It's a bit unfortunate they chose the symbol π, but it is what it is. Basically, this function counts the number of primes less than or equal to a particular number. For example π(20) would be all the prime numbers less than 20: 2, 3, 5, 7, 11, 13, 17 and 19. So π(20) = 8.
So to calculate π(1000) would one have to literally count all the prime numbers less than 1000, including figuring out which numbers are prime? And what about π(1000000)? Unfortunately, the answer is yes. But there are good ways to approximate the number of primes, using the results of the Prime Number Theorem. Those interested in the formal theorem are encouraged to follow the link, but we will skip ahead to one of the interesting results. One of basic functions to come out of calculus is the natural logarithm ln(x), whose base is the famous constant e. If you don't know about it, go look it up. Otherwise, the rest of this article will not make much sense. One can use ln(x) to build more complicated functions in calculus, one of which is the offset logarithmic integral, or Li(x):
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This is one of those functions, like the gamma function, that cannot be expressed without the use of calculus. Turns out, however, that it is a good approximately for π(x), which is very much a discrete concept and quite distant from the continuous motions involved in calculus. The prime number theorem provides the connection.
This article is included in Carnival of Mathematics #31 at recursivity.
From Analog Industries:

ur doin it rong.
Pablo has recently discovered the qualities of analog warmth. Although he didn't get the memo where the “fat” part was supposed to be in the synth, not on it.
We also got a shout-out in the comments section.
テルミンを演奏するネコ
From blancbonn on YouTube, via matrixsynth.
Very cute video, and electronic noises. Made my day.
Perhaps I should get Luna a theremin?
Check out more Cats on Tuesday, musical or otherwise.
As mentioned yesterday, it got quite warm here at CatSynth HQ. And while the heat energizes me, it was probably a bit too much for Luna:

It's interesting how Luna likes to keep a paw near the metal cables when she rests in her favorite spot.
Opening some windows and running our ceiling fans cooled things down nicely, and the ketzela was soon up and about.
This morning is a bit breezier, and it's supposed to much cooler – but the air has that “summer” feel and aroma to it. Of course, the “real” summer around here is fog cover, so we should enjoy the sunshine and heat while we can.
Check out more black cats for Midnight Monday at House Panthers. Today, they are featuring Madness from Random Drift.
Let's crack open all the windows!

It's been a weekend of contradictions, of warmth and fun and rest and work and excitement and fear and sadness.
We lost a friend and former colleague this past week. But we also got to see friends we haven't seen in quite a while. We are still saddened and worried at frightened for our feline friends caught in a terrible fire (UPDATE: we just heard that they are alive!). But we continue to settle into our own home, and things are taking shape.
And it's been warm and sunny hear at CatSynth HQ, perhaps the best weekend since we moved to the city. And there is so much to do, both fun and work, but at the same time we just want to lie around, and enjoy a little of what's important.
We have watched our friends, locally and online, deal with much sadness and tragedy over the past few months. For us, there is an exciting but anxious new life beginning.
Sometimes it's hard to write. But here we are.

A special edition of Weekend Cat Blogging will be jointly hosted by A Byootaful Life, HotMBC and Kashim and Othello at the Cat Blogopshere.
Kashim and Othello are pulling double-duty, actually, as they are also hosting Bad Kitty Cats Festival of Chaos.
The Carnival of the Cats will be hosted today by Mr. Tigger at M-Cats Club.
And of course the Friday Ark is at modulator.