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Tessellation: The Mathematics of Tiling

You have probably noticed that floors are usually tiled in squares or sometimes in rectangles.  What is so special about these shapes? What are the disadvantages of using other shapes? The most...

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Drawing Stunning Math Diagrams using PowerPoint Part I

Many of my readers emailed and requested me to write a tutorial on drawing  beautiful geometric diagrams such as shown in Figure 1, so I will include it in my tutorials.  Most diagrams in this blog are...

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Regular Tessellations: Why only three of them?

In Tessellations: The Mathematics of Tiling post, we have shown and discussed that there are only three regular polygons that can tessellate the plane: squares, equilateral triangles, and regular...

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