It is difficult to get away from circles.

Even as I type up this post, there are several objects on my table that are circles.

As a kid, I learn that a circle is a collection of points equidistant from the center.

As I get older, I understand that a circle can be regarded as an N-sided polygon, with N approaching to infinity.

Here are some examples of circles found in Inner Mongolia.

The first one is the ceiling inside a Mongolian yurt where all supporting members come together.

The other two photos show the exterior of the yurts.

So circles are everywhere!

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Beautiful inside and outside. The Mongols know how to live!

Actually, these are for the tourists like me!

I think yurts are so cool! Have you ever stayed in one? I’m going to try it one day.

Hi, these are the ones I stayed. They are not really the real ones, they are for tourists like me!

It’s look like most live on the tent, is there any historical places to see mongolia?

I didn’t actually go to Mongolia which is an independent country. I went to Inner Mongolia, a part of China, and there were quite a few places like the Genghis Khan mausoleum that worth seeing!

Thanks

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This was an interesting series of photos and I am glad you had a great time on your trip. xo

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Glad that you like this series ๐

Like the telling of dimensions here, Michael. You have rather encapsulated the geometry of which I was obsessed sailing in the middle of the wide blue oceans. As the boat advanced so the horizon behind receded and above the hemisphere of sky transcended while below the water filled the curve.

Thank you for sharing your feeling and interpretation๏ผ

I like the concept of a circle approaching infinity.

So Pi would be the square root of infinity?

(More or less?)

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Pi is the value of an infinite series :

3.14159……… which even if you extend the series, it will never end That is, it takes an infinite number of digits to describe Pi.

And I remember “in the old days” without computers, mathematicians would compete to “discover” a new decimal for Pi. I wonder where we are now on that? Is there a computer somewhere, a Cray maybe, mulling decimals of Pi into eternity/infinity?

With the modern computers you can have as many decimal places of Pi as you like in a fraction of a second.

Amazing isn’t it?

It was an unique experience!

Well, no. If the perimeter = 2 Pi x R, then Pi would be half of infinity, discarding R as Epsilon, when compared to infinity?

(Am I crazy or what?)

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Pi can only be presented as an infinite series which will never end.

A circle is a figure the perimeter of which is a minimum for the same area. That is, if you draw a figure and measure the area and the perimeter. For the same area, the circle is the only shape that will give you the smallest perimeter ( circumference in the case of a circle).

You are quite right. I’d forgotten that of the smallest perimeter. Which is why I love Pi and its infinity. ๐

Pi is also the area of a circle with unit radius.