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Project by BanjoBen posted 02-27-2016 12:30 AM 1893 views 37 times favorited 20 comments Add to Favorites Watch

Here is a trefoil knot I made this past week out of soft maple. The design is based on a mathematical construct called a cube diagram (cf. ).

There are a total of 15 splined miter joints in this contraption. I added a work-in-progress shot to show one stage of the assembly process.

20 comments so far

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621 posts in 2004 days

#1 posted 02-27-2016 02:16 AM

Interesting build. I will have to try this one some day.

-- Steve, South Carolina,

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420 posts in 265 days

#2 posted 02-27-2016 02:21 AM

Very thought it!

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144 posts in 266 days

#3 posted 02-27-2016 03:56 AM


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#4 posted 02-27-2016 05:11 AM

Very cool – from a retired math teacher

-- socrbent Ohio

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Jim Rowe

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#5 posted 02-27-2016 09:29 AM


-- It always looks better when it's finished!

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#6 posted 02-27-2016 11:04 AM

What an attention getter.

-- Randy - If I'm not on LJ's then I'm making Saw Dust. Please feel free to visit my store location at

View BanjoBen's profile


34 posts in 317 days

#7 posted 02-27-2016 01:59 PM

Thanks for the kind words. This was an experiment for me. I’d been wanting to build a knot for a while and the cube diagram is something I’ve studied a lot as a mathematician, so it seemed like a natural step.

I showed it this week to one of the guys who came up with the definition of a cube diagram and now he wants one! I think I managed to learn enough from the process that I’m willing to try making one with some more expensive wood. African padauk, perhaps?

View JoeinGa's profile


7355 posts in 1424 days

#8 posted 02-27-2016 02:17 PM

Very cool ! But ….

-- Perform A Random Act Of Kindness Today ... Pay It Forward

View BanjoBen's profile


34 posts in 317 days

#9 posted 02-27-2016 02:19 PM

100 points to the gentleman with the red stapler. :)

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#10 posted 02-27-2016 02:26 PM

I like it. a totally unique project, very well done.

-- Custom furniture

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339 posts in 840 days

#11 posted 02-27-2016 04:33 PM

Love it. The type of out-of-the box idea I like.
Maybe it’s obvious… but I see it – how are the two piece held?
If you want to share more details and dimensions, that would be great!!
Thanks for taking the time to post your projet.

View BanjoBen's profile


34 posts in 317 days

#12 posted 02-27-2016 04:50 PM

Once assembled, it’s all one piece… one closed loop. All of the joints are splined miter, held with Titebond no run, no drip (I read somewhere that it’s ideal for end grain though I’m not sure it matters since they’re splined).

As for dimensions, all of the wood pieces are 1 inch square bars, and I kept a 1 inch gap between layers. Overall that makes it 9×9x9 (inches).

View drewpy's profile


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#13 posted 02-27-2016 04:51 PM

This is cool. The look just grabs me and you did a wonderful job.

-- Drew in Ohio -- "The greatest wealth is health".

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#14 posted 02-28-2016 12:02 AM

Real cool!!

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#15 posted 02-28-2016 12:18 AM

Way cool !!

-- Dick, Malvern Ohio - Your imagination is your only holdup

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