Since geeky science questions seem to be today's fashion...

[Andy Brummer]

Gregory.Gadow wrote:

In terms of area, remember that null != 0;

which metric? ha! Infinite length of edges, zero area and covers an n-dimensional volume. For an added bonus it's used to show that n-intervals have the same cardinality as the 1-interval. What's not to love? Your fractal only has an area that tends to zero, mine has zero volume before the limit :)

I can imagine the sinking feeling one would have after ordering my book, only to find a laughably ridiculous theory with demented logic once the book arrives - Mark McCutcheon

[Andy Brummer]

My fractal has less area than yours. neener neener neener.

I can imagine the sinking feeling one would have after ordering my book, only to find a laughably ridiculous theory with demented logic once the book arrives - Mark McCutcheon

[Luc Pattyn]

So now it is a spiral in 2D, it no longer is a collection of circles. Just an infinite line, curled rather than straight? That's a bit disappointing...

aspdotnetdev wrote:

You'll send me to the looney bin, you will.

We could organize a geeky science home party then. :laugh:

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[Luc Pattyn]

Gregory.Gadow wrote:

null != 0;

in my world, that does not even compile. :)

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[Luc Pattyn]

maybe your fractal is broken? :)

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[Andy Brummer]

It doesn't actually fill a volume unless you choose your radii carefully. For example if you pick r(i) = (1/2)i than you have finite sized gaps between each of the circles. You'd have to pick something like 1, 1/2, 1/3, 2/3, 1/4, 3/4, 1/5, ... so that it ended up filling the whole circle. Also without specifying the way that the radii decrease, you could end up with a finite length as opposed to an infinite one.

I can imagine the sinking feeling one would have after ordering my book, only to find a laughably ridiculous theory with demented logic once the book arrives - Mark McCutcheon

[Andy Brummer]

:rolleyes:

I can imagine the sinking feeling one would have after ordering my book, only to find a laughably ridiculous theory with demented logic once the book arrives - Mark McCutcheon

[AspDotNetDev]

Luc Pattyn wrote:

So now it is a spiral in 2D, it no longer is a collection of circles. Just an infinite line, curled rather than straight? That's a bit disappointing...

I'm glad we finally understand eachother. :rolleyes:

Luc Pattyn wrote:

We could organize a geeky science home party then.

I hear Weven is hosting these promotion parties. Yay, sounds like fun! ;P

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[AspDotNetDev]

How about we say the distance the from the outer circle is a function of the angle. How about:

radius = 100 - 1/(1 + 1/(angle! + googleplex * ackerman(angle, angle)))

That ought to work. :rolleyes:

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[Andy Brummer]

That's even worse! It converges even more quickly to a single point, leaving gaps over most of the circle and it most definitely has finite length.

I can imagine the sinking feeling one would have after ordering my book, only to find a laughably ridiculous theory with demented logic once the book arrives - Mark McCutcheon

[Dan Neely]

The links in your post are broken: **http://www.codeproject.com/script/Forums/**"http://en.wikipedia.org/wiki/Ackermann\_function" Did you do this intentionally or did you find a new CP bug?

3x12=36 2x12=24 1x12=12 0x12=18

[AspDotNetDev]

Gotta be a CP bug. Here is the text I see when I edit my post:

My post:

How about we say the distance the from the outer circle is a function of the angle. How about: <pre lang="text">radius = 100 - 1/(1 + 1/(angle! + <a href="http://en.wikipedia.org/wiki/Googleplex">googleplex</a> * <a href="http://en.wikipedia.org/wiki/Ackermann\_function">ackerman</a>(angle, angle)))</pre> That ought to work. :rolleyes:

Could be because I put the links in a PRE tag. Let me test that: Not in a PRE tag.

In a PRE tag.

EDIT: Correct placement of blockquote start tag.

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[AspDotNetDev]

Yep, looks like the bug occurs when a link is placed in a PRE tag. I'll let you have the honors of reporting that one. :)

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[AspDotNetDev]

Nope. Let's go through it.

angle! + googleplex * ackerman(angle, angle)

Assuming you start at 1 for the angle, the result is a very rapidly growing number. Let's call this "growingNumber" for short. So the equation becomes:

100 - 1/(1 + 1/growingNumber)

Now, what happens when you divide 1 by a growing number:

1/growingNumber

You get a number that decreases in magnitude as the input increases. Since "growingNumber" starts out very large (at least a googleplex), that means this "shrinkingNumber" starts out extremely small (no larger than 1/googleplex), and only gets closer to 0 (but never reaches 0). So the equation becomes:

100 - 1/(1 + shrinkingNumber)

That portion in parens starts out as something like 1.0000001 (only with many more 0's) and keeps getting smaller, but never goes below 1 (because shrinkingNumber never goes below 0). So, the firt result looks something like:

100 - 1/1.000001

And a later result looks like:

100 - 1/1.0000000000000000000000000000000001

That first result would be something like 99.0000000001. And the later result would be something like 99.000000000000000000000000000001. The number gets smaller, but never below 99. So the circle goes forever, always with a radius between 100 and 99. Sure, it leaves 98 to 0 empty, but that doesn't make it any less infinite. :)

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[Member 4194593]

How about a three dimensional figure that has an edge, but only one edge, and has only one surface, and encloses a volume?