Hilbert Curve Drink Coaster

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Project by KnotCurser posted 07-08-2012 10:24 PM 1464 views 6 times favorited 8 comments Add to Favorites Watch

The Hilbert “Space-Filling” Curve is a very cool mathematical construct that deals with repetition as well as mapping algorithms. Any of you that might be interested in mathematics as well as mapping repetitive constants should look this up in Wikipedia. Here's the Link.

And yes, it’s one single line – you don’t have to trace it! ;-)

Anyway, I also think it makes one REALLY cool pattern on a coaster! I used my newest “toy”, a CNC Router, to carve the pattern into a piece of Canadian Poplar that a good LJ Friend of mine mailed to me a while ago – I finally found a proper use for at least a small piece of it! I will see it every day as it is sitting by my couch and will be used to hold my drinks.

Overall, the piece measures around 120mm square and is 9mm thick. I soaked it in lemon oil a good while to ensure the piece is quite waterproof for those cold and frosty drinks that will sit upon it.

It’s only a tiny project, but it looks cool! ;-)

I can envision a fairly large wall hanging piece done with this pattern – long and skinny. It would look really nice!


-- Robert Rhoades WoodWorks / Email: /

8 comments so far

View JJohnston's profile


1587 posts in 2010 days

#1 posted 07-08-2012 10:39 PM

I think I saw the Hilbert curve in an article about “How To Always Win At Battleship”.

-- "Sometimes even now, when I'm feeling lonely and beat, I drift back in time, and I find my feet...Down on Main Street." - Bob Seger

View kiefer's profile (online now)


3272 posts in 1385 days

#2 posted 07-08-2012 10:45 PM

Looks like you are having great FUN with your new TOY .
That looks very interesting and I am thinking of other applications for that pattern .
Cool it is and keep enjoying Bob .

-- Kiefer 松

View Roger's profile


15039 posts in 1522 days

#3 posted 07-08-2012 10:55 PM

I think I was lost in a corn field maze like this once..

-- Roger from KY. Work/Play/Travel Safe.

View Pete Jansen's profile

Pete Jansen

250 posts in 1640 days

#4 posted 07-09-2012 12:34 AM

Nice. I like to make my machine do stuff like that too.

-- Lovin' sawdust in beautiful Fort Collins, Colorado

View Helkat's profile


74 posts in 1014 days

#5 posted 07-09-2012 12:38 AM

That’s awesome. Thanks for the link to the Hilbert Curve. Some amazingly cool designs and patterns emerge from mathematical work!

-- Nat, UPstate NY,

View rance's profile


4145 posts in 1879 days

#6 posted 07-09-2012 12:49 AM

The first of many new cnc projects.

-- Backer boards, stop blocks, build oversized, and never buy a hand plane--

View LittlePaw's profile


1571 posts in 1797 days

#7 posted 07-12-2012 12:28 AM

Is this done on a CNC machine?

-- LittlePAW - The sweetest sound in my shop, next to Mozart, is what a hand plane makes slicing a ribbon.

View KnotCurser's profile


1849 posts in 1787 days

#8 posted 07-12-2012 12:51 AM


It most certainly is done on a CNC Rouer. :-)


-- Robert Rhoades WoodWorks / Email: /

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