Hilbert Curve Drink Coaster

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Project by KnotCurser posted 780 days ago 1372 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


1577 posts in 1923 days

#1 posted 780 days ago

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

-- "Sorry I'm late. Somebody tampered with my brakes." "You should have been early, then."

View kiefer's profile


3033 posts in 1299 days

#2 posted 780 days ago

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


14373 posts in 1436 days

#3 posted 780 days ago

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 1553 days

#4 posted 780 days ago

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 928 days

#5 posted 780 days ago

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


4130 posts in 1792 days

#6 posted 780 days ago

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 1710 days

#7 posted 777 days ago

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


1813 posts in 1700 days

#8 posted 777 days ago


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


-- Robert Rhoades WoodWorks / Email: /

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