The Lumber Room

"Consign them to dust and damp by way of preserving them"

Posts Tagged ‘clever

How does Tupper’s self-referential formula work?

with 43 comments

[I write this post with a certain degree of embarrassment, because in the end it turns out (1) to be more simple than I anticipated, and (2) already done before, as I could have found if I had internet access when I did this. :-)]

The so-called “Tupper’s self-referential formula” is the following, due to Jeff Tupper.

Graph the set of all points {(x,y)} such that

\displaystyle  \frac12 < \left\lfloor \mathrm{mod} \left( \left\lfloor{\frac{y}{17}}\right\rfloor 2^{-17\lfloor x \rfloor - \mathrm{mod}(\lfloor y \rfloor, 17)}, 2 \right) \right\rfloor

in the region

\displaystyle  0 < x < 106

\displaystyle  N < y < N+17

where N is the following 544-digit integer:

The result is the following graph:

Figure 1: The graph of the formula, in some obscure region, is a picture of the formula itself.

Whoa. How does this work?

At first sight this is rather too incredible for words.

But after a few moments we can begin to guess what is going on, and see that—while clever—this is perhaps not so extraordinary after all. So let us calmly try to reverse-engineer this feat.

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Written by S

Tue, 2011-04-12 at 13:05:20

Posted in mathematics

Tagged with , , ,

WordPress theme that defies description

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and my understanding:

Here: CLI theme.

Now someone explain how this works :)

Written by S

Fri, 2008-03-28 at 05:45:24

Posted in Uncategorized

Tagged with , ,

Cold reading

with 2 comments

For those who haven’t seen a demonstration of cold reading before, here is an excellent one:

Thanks to “A Candle in the Dark”, a blog that turned up in my Google recommended feeds.

Written by S

Mon, 2008-02-18 at 21:52:48

Posted in Uncategorized

Tagged with ,

Film I saw

with 3 comments

The LSC plays movies every weekend, to which I get free admission, and I usually watch all the films, no matter how bad I expect them to be :-)

Yesterday I saw 1408. It is a horror film based on a Stephen King short story. (It is about room 1408 of the Dolphin Hotel, where…)

The movie isn’t bad at all. It even has a happy ending. (The director’s cut apparently doesn’t.)

I saw a poster that said it

ranks with The Shining as one of the best Stephen King adaptations ever.

Obviously, the guy forgot about The Shawshank Redemption.

One might argue that Shawshank wasn’t a horror movie, but then again, neither was The Shining.
Really: Watch the trailer, it’s hilarious:
[Created by Robert Ryang. A contest-winning entry.]
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Written by S

Mon, 2007-10-22 at 04:30:59


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