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Author Archives: Xander
The Mandelbrot Set—Part III: Complex Numbers
The Mandelbrot Set Series: This post is the third in a series on the Mandelbrot set. The Mandelbrot set resides upon the complex plane. This means that in order to look more closely at the Mandelbrot set itself, we need … Continue reading
Sonic the Hedgehog 4
When I was 11 or 12 years old, I bought a Sega Genesis. Well, to be fair, I bought something like a 60% share in a Sega Genesis—my little sister, who had basically no interest in gaming, owned the other … Continue reading
The Mandelbrot Set—Part II: Exploring the Mandelbrot Set
The Mandelbrot Set Series: This post is the second in a series on the Mandelbrot set. In this post, we are going to spend some time exploring the set, in order to get a feel for some of the structures … Continue reading
Bones
When students are first taught mathematics, the skills that they learn are concrete, and the teaching methodologies are equally concrete. When taught to add, students might physically group blocks, for instance by counting one group of blocks, then another, and … Continue reading
The Mandelbrot Set—Part I: Fractals
Every Monday for the past several weeks, I have posted an image under the heading Monday Mandelbrot Madness. I have offered up these images largely on aesthetic grounds, and offered very little in the way of mathematical explanation. There are … Continue reading
One By Any Other Name
What’s in a name? that which we call a rose By any other name would smell as sweet… —William Shakespeare In our daily lives, we are accustomed to giving multiple names to a single object. My wife calls me Xander, … Continue reading
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