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#26 2012-12-17 02:58:16
- Agnishom
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Re: Fractals in a simple way
Prove that the volume of the menger sponge is zero.
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'The whole person changes, why can't a habit?' -65
#27 2012-12-17 03:14:51
- anonimnystefy
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Re: Fractals in a simple way
Try calculating the ratio of two steps in getting the menger sponge...
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#29 2012-12-18 03:16:54
- Agnishom
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Re: Fractals in a simple way
Hi anonymnystefy;
Doesn't the volume get reduced by 20/27 in every step
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'The whole person changes, why can't a habit?' -65
#30 2012-12-18 05:44:01
- anonimnystefy
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Re: Fractals in a simple way
It does. And if you reduce something infinitely times, what do you get?
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#31 2012-12-18 23:07:35
- Agnishom
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Re: Fractals in a simple way
Okay 
Zero
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'The whole person changes, why can't a habit?' -65