Re: No, but Sierpinsky's Triangle is.
My newsserver seems to be tossing my posts to /dev/null, and has
already swallowed up one rather lengthy post about fractals. Let's
see if this one is getting through..
sgt pinback (rob...@project.darkstar) wrote:
: hmm. need an ob ascii art. not sure if these are 'proper' koch curves
: (and anyone feeling that i *must* be enlightened on this subject should
: probably do it by e-mail at (rot13) cvaonpx ng qnegzbhgu qbg rqh as it's a
: bit off subject here...)
Nonsense, I say, as long as it has ascii art in it it's on topic. :)
: . __/\__
: . \ /
: . __/\__/ \__/\__
: . \ /
: . /_ _\
: . \ /
: . __/\__ __/ \__ __/\__
: . \ / \ / \ /
: . __/\__/ \__/\__/ \__/\__/ \__/\__
: . \_\/ \ / \/ \ / \/ \ / \/_/
: . /_/ /_ _\ /_ _\ /_ _\ \_\
: . \__/\_\/ \ / \/_/\__/
: . __/ / __/ \__ \ \__
: . \ _\ \ / /_ /
: . /_ __/ /_ __ __ _\ \__ _\
: . \/ \__ __/\_\/ \ / \/_/\__ __/ \/
: . /_/ \ / /_ _\ \ / \_\
: . \__/\__/ \__/\_\/_/\__/ \__/\__/
: . __/ /\ \__
: . \ _\/_ /
: . __/\__/ / \ \__/\__
: . \ \____/ /
: . /_ /\ _\
: . \ __ _\/_ __ /
: . __/ / \/ \/ \ \__
: . \ _\ /_ /
: . /_ __ __ __/ \__ __ __ _\
: . \/ \ / \/ \__ __/ \/ \ / \/
: . /_ _\ /_/ \_\ /_ _\
: . \/ \__/\____/\__/ \/
: . __/ /\ \__
: . \ _\/_ /
: . /_ __/ \__ _\
: . \/ \____/ \/
: . /_/\_\
: . \/
This seem to be an inverted Koch flake superimposed on a normal one.
However, I started thinking about what would happen if I replaced
the transformation rule for the Koch snowflake with a "mirrored" one
from the start.
This would mean that every straight segment is not replaced by __/\__
but instead with __/\__. The result?
\/
__/\__
\/
__/\__
\_\/_/
/_/\_\
\/
__/\__
\_\/_/
__/\__/ \__/\__
\/ \____/ \/
/_/\_\
\/
__/\__
\_\/_/
__/\__/ \__/\__
\_\/ \____/ \/_/
/_/ /_/\_\ \_\
\__/\_\/_/\__/
__/ \/_/\_\/ \__
\_\ \_\/_/ /_/
/_/\__/ \__/\_\
\/ \____/ \/
/_/\_\
\/
__/\__
\_\/_/
__/\__/ \__/\__
\_\/ \____/ \/_/
/_/ /_/\_\ \_\
\__/\_\/_/\__/
__/\__ __/ \/ \/ \__ __/\__
\_\/_/ \_\ /_/ \_\/_/
__/\__/ \__/\__/ \__/\__/ \__/\__
\/ \____/ \/ \__ __/ \/ \____/ \/
/_/\_\ /_/ \_\ /_/\_\
\/ \__/\____/\__/ \/
__/ \/_/\_\/ \__
\_\ \_\/_/ /_/
/_/\__/ \__/\_\
\/ \____/ \/
/_/\_\
\/
__/\__
\_\/_/
__/\__/ \__/\__
\_\/ \____/ \/_/
/_/ /_/\_\ \_\
\__/\_\/_/\__/
__/\__ __/ \/ \/ \__ __/\__
\_\/_/ \_\ /_/ \_\/_/
__/\__/ \__/\__/ \__/\__/ \__/\__
\_\/ \____/ \/ \__ __/ \/ \____/ \/_/
/_/ /_/\_\ /_/ \_\ /_/\_\ \_\
\__/\_\/ \__/\____/\__/ \/_/\__/
__/ \/_/ __/ \/_/\_\/ \__ \_\/ \__
\_\ \_\ \_\ \_\/_/ /_/ /_/ /_/
/_/\__/ /_/\__/ \__/\_\ \__/\_\
\/ \__ __/\_\/ \____/ \/_/\__ __/ \/
/_/ \_\/_/ /_/\_\ \_\/_/ \_\
\__/\__/ \__/\_\/_/\__/ \__/\__/
__/ \/ \____/ \/_/\_\/ \____/ \/ \__
\_\ /_/\_\ \_\/_/ /_/\_\ /_/
__/\__/ \/_/\__/ \__/\_\/ \__/\__
\_\/ \__ \_\/ \____/ \/_/ __/ \/_/
/_/ /_/ /_/ /_/\_\ \_\ \_\ \_\
\__/\_\ \__/\_\/_/\__/ /_/\__/
__/ \/_/\__ __/ \/ \/ \__ __/\_\/ \__
\_\ \_\/_/ \_\ /_/ \_\/_/ /_/
/_/\__/ \__/\__/ \__/\__/ \__/\_\
\/ \____/ \/ \__ __/ \/ \____/ \/
/_/\_\ /_/ \_\ /_/\_\
\/ \__/\____/\__/ \/
__/ \/_/\_\/ \__
\_\ \_\/_/ /_/
/_/\__/ \__/\_\
\/ \____/ \/
/_/\_\
\/
Its fractal dimension? Six segments, each one third of the whole, make
(log 6)/(log 3) ~= 1.631.
--
ii 3D .sigXIlmari KaronenAscii 3D .sigIlmari Karonen_Ascii 3D .sigIlmari Kar
fi....@graphic.iltzu@sci.fi.stereo@gra...@sci.fin.stereo@graphicilt
ltzu/ba/http://www.sci.fi/~iltzu/bahttp://www.sci.fi/~iltzu/1bahttp://www.sc
is a stereogram!><This .sig is a stereogram!><This .sig is a stereogram!><T
Original message headers
X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: f996b,ca683da404597217 X-Google-Attributes: gidf996b,public From: ilt...@sci.fi (Ilmari Karonen) Subject: Re: No, but Sierpinsky's Triangle is. Date: 1998/06/03 Message-ID: <6l4ir3$1u9$1...@tron.sci.fi> X-Deja-AN: 359287444 Distribution: world References: <Pin...@candela.dartmouth.edu> <357...@on.spammer> <Pin...@candela.dartmouth.edu> Organization: (dis)Order of the Holy Spoon (or whatever) Newsgroups: alt.ascii-art
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