# Trefoil

 Project by BanjoBen posted 02-27-2016 12:30 AM 2770 views 42 times favorited 20 comments

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. http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.314.4240 ).

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

 SteveGaskins753 posts in 2669 days #1 posted 02-27-2016 02:16 AM Interesting build. I will have to try this one some day. -- Steve, South Carolina, http://www.finewoodworkingofsc.com BB11167 posts in 930 days #2 posted 02-27-2016 02:21 AM Very thought provoking..love it! Rentvent151 posts in 931 days #3 posted 02-27-2016 03:56 AM Awesome!!! socrbent616 posts in 2352 days #4 posted 02-27-2016 05:11 AM Very cool – from a retired math teacher -- socrbent Ohio Jim Rowe1047 posts in 2395 days #5 posted 02-27-2016 09:29 AM Fascinating!Jim -- It always looks better when it's finished! Blackie_4883 posts in 2595 days #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 http://www.facebook.com/randy.blackstock.custom.wood.designs BanjoBen86 posts in 983 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? JoeinGa7739 posts in 2089 days #8 posted 02-27-2016 02:17 PM Very cool ! But …... -- Perform A Random Act Of Kindness Today ... Pay It Forward BanjoBen86 posts in 983 days #9 posted 02-27-2016 02:19 PM 100 points to the gentleman with the red stapler. :) a1Jim117166 posts in 3659 days #10 posted 02-27-2016 02:26 PM I like it. a totally unique project, very well done. -- https://www.artisticwoodstudio.com/videos wood crafting & woodworking classes jacquesr342 posts in 1505 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. BanjoBen86 posts in 983 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). drewpy819 posts in 1439 days #13 posted 02-27-2016 04:51 PM This is cool. The look just grabs me and you did a wonderful job. -- Drew -- "The greatest wealth is health". SteveMI1114 posts in 3377 days #14 posted 02-28-2016 12:02 AM Real cool!! recycle19432027 posts in 1705 days #15 posted 02-28-2016 12:18 AM Way cool !! -- Dick, Malvern Ohio - my biggest fear is that when I die, my wife sells my toys for what I told her I paid for them

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