Parametric Holiday Greetings from Coldwell Banker, Townside, Realtors

Parametric holiday greetings from Coldwell Banker, Townside, REALTORS(R)

Seasons greetings and best wishes for a wonderful 2013 from Coldwell Banker Townside, REALTORS and Handshake 2.0!

The original Parametric Tree was created using Wolfram's Mathematica by Alex Edelman and appeared on Handshake 2.0 in 2009.  In 2010, Kelsey Sarles decorated the tree for the holidays. We enjoy it each year and hope you do, too! 

You're invited to view all the parametric images on Handshake 2.0.

Blacksburg, Christiansburg, Roanoke, and Salem, Virginia real estate and homes Coldwell Banker Townside specializes in in Blacksburg, Christiansburg, Roanoke, and Salem, Virginia real estate and homes and national and global relocation services to the Blacksburg, Virginia and Roanoke, Virginia areas. You're invited to check out the CBT blog, Keepin' It Real Estate, visit Coldwell Banker Townside, REALTORS (R) on Facebook, and see more of Coldwell Banker Townside on Handshake 2.0.

Download the Coldwell Banker Townside App in the iTunes App Store or in Google Play.

Coldwell Banker Townside REALTORS is a client of Handshake Media, Incorporated, the parent company of Handshake 2.0.

Parametric Easter Egg

We're glad to share again one of our favorite parametric images, first appearing on Handshake 2.0 in April of 2009:  an egg-colored ellipsoid, with three parametric sine functions wrapping around it at various points.

Handshake 2.0's Parametric Egg

For the math behind Handshake 2.0's Parametric Egg, feel free to read this .pdf.

Alex Edelman is the author of Parametric Hand Turkey, Parametric Valentine, Parametric Shamrock and Handshake 2.0's parametric images, all created using Mathematica.   Alex Edelman's parametric creations have been listed on Wolfram Research News & Events.

Parametric Holiday Greetings from Coldwell Banker Townside, Realtors

The original Parametric Tree was created using Wolfram's Mathematica by Alex Edelman and appeared on Handshake 2.0 last year.  This year, Kelsey Sarles of Coldwell Banker Townside, REALTORS(R), decorated it for the holidays!

Parametric holiday greetings from Coldwell Banker, Townside, REALTORS(R)

Seasons greetings and best wishes for a wonderful 2011 from from Coldwell Banker Townside, REALTORS and Handshake 2.0!

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You're invited to view all the parametric images on Handshake 2.0.

Coldwell Banker Townside, REALTORS (R), is a full service real estate agency specializing in Blacksburg, Christiansburg, Roanoke, and Salem, Virginia real estate and homes.  You're invited to learn all about the Coldwell Banker Townside App, check out the CBTownside blog, Keepin' It Real Estate, visit Coldwell Banker Townside, REALTORS (R) on Facebook, follow Coldwell Banker Townside on Twitter, and learn more about Coldwell Banker Townside on Handshake 2.0

Coldwell Banker Townside, REALTORS (R) is a client of Handshake Media, Incorporated, the parent company of Handshake 2.0.

Parametric Present

From Alex Edelman:

This year's parametric holiday present comes wrapped in Mathematica's Cuboid and Line graphics primitives. The bow is the more interesting Lorenz attractor, a particularly neat-looking solution to the differential equations governing the Lorenz oscillator. You can download the Mathematica notebook that generated this image here. (If you don't have Mathematica, Mathematica Player should let you see what's going on.)

Parametric Present

The Parametric Present was created using Wolfram's Mathematica by Alex Edelman. You're invited to view all the parametric images on Handshake 2.0.

Parametric Hand Turkey

This classic post from Alex Edelman originally appeared on Handshake 2.0 in 2008.

The quintessential childhood Thanksgiving arts-and-crafts project is the hand turkey, so I decided to make one. Unfortunately, a rigorous scientific education has enabled me to suck all the fun and child-like innocence out of any enterprise, so I ended up making a graph.

The graph in question is of a parametric equation. Whereas the graphs we are most familiar with give one variable as a function of another (y in terms of x, for instance), a parametric graph gives x and y in terms of another, or in our case, two other variables. I've parameterized in terms of r and t.

Equations and conditions that give us our parametric hand turkey 

Equations and conditions that give us our parametric hand turkey 

Equations and conditions that give us our parametric hand turkey 

Equations and conditions that give us our parametric hand turkey 

Wolfram Mathematica input statement that graphs the equations and conditions to create a parametric hand turkey

The parameterization, in terms of t, graphs the "shape" or "outline" of our mathematical hand turkey. It's a modification of a polar function that would normally give us a "rose" with nine petals. My fingers are not all the same size, though, so I tweaked the function with a square root of t to vary the petals a little bit. A few more changes gave me five "fingers."

A picture of the graph, as generated by Mathematica

 

Then, I multiplied by my second parameter, r. Since it ranges from 0 to 1, then for every possible value of r, the "t" function it is affecting will be drawn with a slightly different radius. When we put all these functions on top of each other, we get a continuous series of "outlines" which smoothly merge into a solid region.

Not entirely devoid of childlike aesthetic taste, I then used Mathematica to graph the function and, more importantly, apply a gradient of "Thanksgiving colors" to it.

All in all, though, you're still probably better off asking your kid to make a hand turkey.

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If you're interested here's a high-resolution .pdf of the Mathematica notebook. It's big (8559K), and requires a little crunching from your computer, but the image it produces is gorgeous.

And for the sake of complete documentation, here's the original Mathematica notebook, in case readers of Handshake 2.0 use Mathematica.

Parametric New Year’s Eve Horn

Parametric New Year's Even Horn

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The Parametric New Year's Horn image was created using Wolfram's Mathematica by Alex Edelman. You're invited to view all the parametric images on Handshake 2.0.

Parametric Christmas Tree

Parametric tree

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The Parametric Tree image was created using Wolfram's Mathematica by Alex Edelman. You're invited to view all the parametric images on Handshake 2.0.

Parametric Pumpkin Pie

Parametric Pumpkin Pie

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The Parametric Pumpkin Pie image was created using Wolfram's Mathematica by Alex Edelman. Here's a high-resolution .pdf of the Mathematica Notebook.  Here are all the parametric images on Handshake 2.0.

Social Media Sales Funnel

Media fragmentation scatters the marketplace like a bag of marbles spilled on a kitchen floor.  Target market groups disperse.  Some settle into niches, some skitter into unreachable places, and some continue to roll into the unknown.

In an age of media fragmentation, reaching target market “marbles” takes time.  In an age of social media, target market “marbles” have to be invited back into the bag.  That, too, takes time.

Time costs money.  To cut costs, how can companies automate the target market marble-collection process?

In some ways, the sales funnel automates it for us.

Parametric Social Media Sales Funnel Created Using Wolfram's Mathematica

According to the sales funnel theory, while many prospects may fill the large opening at the top of the funnel of the conversion-to-sales process, only a few reach the narrow opening at the end of the process and become customers by buying a product or service.

When I go to a business networking meeting, let’s say with 100 people present, I may be able to shake hands with 10.  If my handshake-to-conversion ratio is 10 to 1, from that business meeting, I may get one new client.  The sales funnel allows only the few to emerge from the many.

According to Wikipedia, a quarter of the world’s population has Internet access.  A quarter of 6 billion people is 1.5 billion people.

When I add a post to a blog, or an update to Twitter, or a video to YouTube – offer new information online in some way – I reach out a virtual handshake to a potential 1.5 billion people.  With a 10 to 1 handshake-to-conversion ratio, I may get 150 million new clients.

Offline, I may meet 100, but online I may meet 150 million, simply by offering new and useful information?

Dozens of factors limit this simple metaphor and simplistic example and make the numbers inaccurate.

But the concept is sound.  Offline I connect with the few and online I connect with the many? 

That’s a lot of marbles entering the sales funnel.

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Parametric Social Media Sales Funnel image created using Wolfram's Mathematica by Alex Edelman.  If you're interested, here's a high-resolution .pdf of the Mathematica Notebook.