Drawing the infinite in a finite space...

Hello

I was wondering that is it possible to draw a line or just something infinitely long in a given, fixed finite space?

P.S. I already have thought one way to do it, but was wondering if others had yet better ways of doing the same.(If I'm going wrong somewhere, please correct me)

My method:

Koch's snowflake http://en.wikipedia.org/wiki/Koch_snowflake may be considered as an infinitely long perimeter drawn in a finite space.

EDIT: This question arose in my mind after watching this excellent video on fractals.

#Geometry #Infinity #JustForFun

Easy Math Editor

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Comments

I would encourage you to look at Koch Snowflake Part 1 and Part 2.

Calvin Lin Staff - 7 years, 3 months ago

Thanks Sir! I had already attempted those two problems some time back.

Kou$htav Chakrabarty - 7 years, 3 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$