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#1 2012-08-26 16:29:38

benice
Member
Registered: 2010-06-10
Posts: 110

Church Function

Do you like church? Here is a church function:



 



My Gallery of Math Art: benice equation

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#2 2012-08-26 23:08:35

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,209

Re: Church Function

Hi;

It is a question of scaling but this looks like the Empire State Building to me. I used n = 4.

View Image: 2012-08-27_040456.gif

In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#3 2012-08-27 19:50:26

benice
Member
Registered: 2010-06-10
Posts: 110

Re: Church Function

bobbym wrote:

Hi;

It is a question of scaling but this looks like the Empire State Building to me. I used n = 4.

Hi, thanks for the rescaled graph. The Empire State Building reminds me of King Kong.



Here are the graphs (for n=1~8) with equal scaling on the x & y axes.

church_functions.gif


My Gallery of Math Art: benice equation

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#4 2012-08-27 23:11:41

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,209

Re: Church Function

Hi;

I had a slight error in my church function this distorted the graph slightly.

Using equal scaling and the new function the graphs are similar.

View Image: 2012-08-28_040944.gif

In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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