The type of geometry we typically learn in school is known as Euclidean geometry. Since we’re talking about geometry, we’d first best establish what we mean by “geometry.” In broad terms, geometry is the realm of math in which we talk about things like points, lines, angles, triangles, circles, squares and other shapes, as well as the properties and relationships between the properties of all these things. What happened to it? Do its angles still add up to 180 0? To understand what you see, we need to talk about the differences between what’s called Euclidean and non-Euclidean geometry. Now, blow up the balloon and take a look at your once-perfect triangle. If you have a protractor, this would be a good time to measure its angles and make sure they add up to approximately 180 0. All you have to do is get an uninflated balloon, lay it on a flat surface, and draw as close to a perfect triangle on it as you can.
OK, that’s almost certainly not true…but the math fan in me would like to believe it.Īs I described last time, you can get a glimpse at one of these properties by performing a simple maths-and-crafts project. Why did she decide that balloons-and every other round object-are so fascinating? I might be biased in this belief, but I’ve come to the conclusion that it’s because they’re so good at demonstrating some amazing properties of what’s called non-Euclidean geometry. After her party, she decided to call her balloon “ba,” and now pretty much everything that’s round has also been dubbed “ba.” A ball? A “ba.” The Moon? Yep, also a “ba.” Ever since that day, balloons have become just about the most amazing thing in her world. Balloons, Triangles, and AnglesĪ few months ago, my daughter got her first balloon at her first birthday party. Some limitations apply, see website for details.
Non euclidean geometry in geography code#
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Sponsor: Visit opens in a new to get the right domain for your business. And, as a simple balloon can show you, the implications of this other kind of geometry are rather surprising. Why is that? Well, it turns out that the kind of geometry you learned in school isn’t the only kind of geometry.
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