From c898b7adb134d478af9b3796de1ea86b84f05192 Mon Sep 17 00:00:00 2001 From: cool-mist Date: Thu, 17 Dec 2020 07:21:59 +0000 Subject: [PATCH] Add flatlands article --- ...y.md => 2020-12-08-getting-ready.markdown} | 0 _posts/2020-12-17-flatlands.markdown | 29 ++++++++++++++++++ public/img/flatlands.png | Bin 0 -> 14580 bytes 3 files changed, 29 insertions(+) rename _posts/{2020-12-08-getting-ready.md => 2020-12-08-getting-ready.markdown} (100%) create mode 100644 _posts/2020-12-17-flatlands.markdown create mode 100644 public/img/flatlands.png diff --git a/_posts/2020-12-08-getting-ready.md b/_posts/2020-12-08-getting-ready.markdown similarity index 100% rename from _posts/2020-12-08-getting-ready.md rename to _posts/2020-12-08-getting-ready.markdown diff --git a/_posts/2020-12-17-flatlands.markdown b/_posts/2020-12-17-flatlands.markdown new file mode 100644 index 0000000..cde6f9f --- /dev/null +++ b/_posts/2020-12-17-flatlands.markdown @@ -0,0 +1,29 @@ +--- +layout: post +title: Thinking about the 4th dimension +categories: ["books"] +--- + +My thoughts on the 1884 novella **Flatlands - a romance in many dimensions by Edwin Abbot Abbot**. This book teaches us on how to think about the 4th dimension. + +-------- + +[Edwin Abbot Abbot](https://en.wikipedia.org/wiki/Edwin_Abbott_Abbott) was an English master by profession and had studied and published works on Mathematics, Philology and Theology during his lifetime of which [Flatlands](https://en.wikipedia.org/wiki/Flatland) is one such work under the Mathematical fiction genre. + +The book follows the adventures of a Square that lives in a 2 dimensional world. + +The first question that came to my mind when I read this premise was, given that all beings in such a 2 dimensional universe can only see a straight line, how then can they distinguish different shapes? This problem is tacked very early on in the book, with one of the methods being using sight to understand different gradients in the straight line that they see. For example, a triangle when looked at directly is a straight line with the brightest point in the center, and both the sides with a reducing intensity gradient. + +![Triangle_Perspective]({{site.base_url | absolute_url}}/public/img/flatlands.png) + +As soon as I read this, it struck me how we do the same thing in perceiving depth when we see a 2 dimensional picture. + +Most of the mathematical concepts in this book are taught even to kids at a very early stage, but the perspective given to that knowledge by this book, especially without pictures - the interaction of the 3rd dimension with the 2 dimensional world, was a very good mental exercise for me. + +My favourite part of the book comes towards the end where the author draws similarilities and brings to our attention the patterns while going from one dimension to another. This book teaches us how to think about the 4th dimension, how a higher dimension's being interactions with a lower dimension manifest itself to the eyes of the lower dimension. There is a common trope in sci-fi films where an object vanishes out of existence when dealing with the 4th dimension. A little bit of reflection on the contents of the last few chapters of this book akes it clear why that trope is necessary! + + [Neil De'grasse Tyson](https://en.wikipedia.org/wiki/Neil_deGrasse_Tyson) has a [video](https://www.youtube.com/watch?v=CePeCicTqCM) on these passages of the book. I do not want to give too much away from the book and would suggest to go through the book first before the video so that you do not spoil the satisfaction of learning this through the words of a professor from 1884!! + +Apart from mathematics, the book is also filled with political commentary on the 2 dimensional universe - different levels of hierarchy in the society, power and control, education and even a revolution!! While reading some of the chapters, I was constantly drawing parallels with the 3 dimensional world we live in. + + The book is a small one and can be completed in a single sitting in less than two hours when reading at a leisurely pace. The English in the book was a bit difficult for me to follow as it is very different from the form of English that is spoken today. If you are intereseted in Physics, Mathematics, Dimensions and Time Travel like me, then this books is a must read. 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