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Mike DeHaan’s article in Decoded Science

Mathematical Induction Compared to a Row of Dominos

My recently-published “A Quick Explanation of Mathematical Induction” starts by discussing dominos.

"Giant Domino Cascade" by zigazou76...a way to visualize mathematical induction
"Giant Domino Cascade" by zigazou76...a way to visualize mathematical induction

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In truth, induction is an important tool in mathematics. I had used it in a couple of previous articles for Decoded Science, and then realized that some readers might not be familiar with this tool.

As always, I also promote my “magazine” articles in my Blog of Writing. Check out “Why Compare Mathematical Induction to a Row of Dominos?” for my reasons for some of the choices I made in writing this article.

Decoded Science Reveals How to Prove Thales’ Theorem

My latest article in Decoded Science is “The Proof and Practice of Thales’ Theorem for Circled Triangles“.

"Thales Triangle with Notes" by Mike DeHaan
"Thales Triangle with Notes" by Mike DeHaan

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As usual, I also point to that article from my Blog of Writing post called “Preview of 4 Dec.Sci. Images“. The purpose of creating that article as a “preview” was to publish my own diagrams online in one of my own blogs, simply to establish it as prior artwork.

Triangular Numbers can Create Square Numbers

More Mathematics at Decoded Science

How to Change Triangular Numbers into Square Numbers“, found in Decoded Science, answers burning questions such as “Just what are triangular or square numbers?” and “How can you change triangular numbers into square numbers?”

"Four-Ten Triangle" by Mike DeHaan
"Four-Ten Triangle" by Mike DeHaan

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There is a really interesting relationship between triangular numbers and square numbers. In fact, the nth triangular number is used in making the nth square number.

Of course, I also give a shout-out to my Decoded Science article through my writing blog, in “Square Numbers from Triangular Numbers“.