Regular Tessellations: Why only three of them?

In Tessellations: The Mathematics of Tiling post, we have learned that there are only three regular polygons that can tessellate the plane: squares, equilateral triangles, and regular hexagons. In Figure 1, we can see why this is so. The angle sum of the interior angles  of the regular polygons meeting at a point add up to 360 […]
Continue reading…

 

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 made using GeoGebra and Windows Microsoft PowerPoint. The tessellations shown in Figure 1 that we are going to create […]
Continue reading…

 

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 important thing to consider in tiling is that the shape of the tiles should cover the floor without gaps and without overlaps. Probably, […]
Continue reading…

Related Posts Plugin for WordPress, Blogger...