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Response to Voice for Peace (Original post)

Thu Feb 9, 2012, 01:25 PM

1. mathematical proof of how within the finite, is the infinite.

 

Haven't watched yet, but I will when I have time.

I love the concept of the infinite within the finite. One easy example is a Koch Snowflake. No it's not the frozen heart of a runaway capitalist, it's a geometric example of an infinite construct contained entirely within a finite space.

Take an equilateral triangle (all sides the same length) and encase it in a circle with the triangle's points tangent (touching) the circle.
Now divide each side of the triangle into 3 equal parts and draw equilateral triangles using the center parts as one of their sides. (you get a "star of David"
Now divide each side of that into 3 equal parts and make triangles of those center parts, and then again and again and again.... you can to it into infinity.
The parameter of the snowflake is infinite, but it is all inside the circle you drew at 1st.

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Voice for Peace Feb 2012 OP
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AlbertCat Feb 2012 #1
Voice for Peace Feb 2012 #2
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