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"Grid to Generate Square Numbers" : image by Mike DeHaan


My latest Decoded Science article, "How to Make a Natural Number Series of Square Numbers", deals with square numbers. It's a response to a reader's question about avoiding having to multiply a number by itself, in order to generate the next perfect square in the number series.

I created these images to illustrate one process explained in my article.

Why preview my own "artwork" here? It helps to establish copyright: I've first published this item here, in my own blog.

Two Triangular Number Images...

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"The Triangular Number 10 in 4 Rows" : image by Mike DeHaan
My editor asked me to replace some blurry photographs in the article. These images convey the same message.

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"Add Two Triangular Numbers to make a Square Number" : image by Mike DeHaan
I seem to put more explanation into the captions as I continue writing articles.

More Publicity for my "Square Numbers"

My "How to Make a Square Number Series with Simpler Math" article in DeHaan Services publicizes this article, but adds some advice for people needing more help to study math, and even a public service announcement if you're looking for a math degree from a Canadian university.

One Square Writing Tip

Once the Decoded Science article is published, I'll come back to add the square writing tip.

As I noted above, my editor rightfully wanted better quality images for the article. I'd tried to take photos with a mid-quality digital camera, but hadn't figured out how to keep the focus sharp while zooming in on the small object.

My response was to create these images using a standard spreadsheet program.

In retrospect, perhaps I could have taken the photograph from farther away, and then cropped the resulting image. On the other hand, these pictures illustrate the process better than the photos could.

Also, with extra brainstorming, I thought of different images to illustrate the article. I had no luck finding the first picture in Flickr; but the second kind just jumped out at me. By the way, I always check the boxes for "licensed for commercial re-use under Creative Commons" and then look in the right margin for any special "Licensing Information". You should, too.

This square writing tip delivers several rectangular ideas. Just put them together to make a square.

  • Be sure to include images in your online articles.
  • Ensure those images are high quality, especially if you take photographs.
  • If you use online images (from Flickr or elsewhere), be sure to comply with their licensing requirements.
  • You can make very informative images using spreadsheet or word processing software and a judicious touch-up with an image processor.
Thanks for reading about my "how to make a square number series".





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    Mike DeHaan began writing professionally in 2010 as the sole proprietor of DeHaan Services.To see this information with the best background image, please refer to "About.Me",  befriend me at Facebook, or circle me at Google+.

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    Flexible Sidebar

    Weebly's "Blog Author" widget from the Blog Sidebar's Elements menu provides a lot of flexibility. You can change both the title and the text.

    It has all the capabilities for text editing that you find in most Weebly text widgets.

    At this point, I don't see a way to code any HTML in this widget.

    The "Picture" does what you expect: it displays an image of your choice. I just added my home-made picture of "Copyright DeHaan Services 2013" as the top element in this sidebar on Jan. 22, 2013.

    The "Search Box" is a "Pro" feature; if you're paying for Weebly hosting, it may be worthwhile.

    The other widgets are pre-programmed to do what they say.


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