I have one last-minute opening in next weekend’s Dovetailed Silverware Tray class (April 7-8) – so if you have a free weekend and want to spend it with me, my lovely assistant (Chris) and five more of your soon-to-be-closest friends, click the link below to register.
The class is at the Lost Art Press storefront/shop/horse garage, 837 Willard St., Covington, Ky. The fee is $275, including the stock, which is cherry, and lunches, which will not be Jimmy John’s (apologies for that to last month’s Dutch Tool Chest Class). It’s free to register – I’ll ask that you bring cash or a check to the class 🙂
We’ve had a few folks ask about the “hidden hexagon” mentioned in the text, and we think it’s time to share the answer with everyone. This also means revealing a little bit more about what is going on (and not going on) in this geometric construction.
What is going on is this: Drawing lines from and through certain points seems to magically create a representation of one of the most important, not to mention useful, theorems for artisans in geometry: the Pythagorean Triplet. In the geometry of this particular interaction of a circle with a square, a triangle is formed in the upper half of the circle whose legs go on to generate a pair of squares that, when their areas are added together, equal the area of the lower square — and they do that in what looks to be a simple triplet ratio of leg lengths of three to four to five.
To arrive at the correct root lengths of the upper two squares to make this simple ratio happen, the trick from antiquity is to generate a hexagon inside the circle (by stepping the radius of the circle around its circumference) and to then draw a line from the lower left hand corner of the lower square through the vertex of the closest hexagon facet. Next, you continue the line to intersect the upper portion of the circle. This provides the point to which you then draw the legs of the triangle.
The results are leg length relationships of three segments to four segments to the five segments of the diameter line. We have just revealed the simplest of the countless Pythagorean triplets. But have we really? The answer is: Almost, but not really.
We had our friend Dr. Francis Natali take a look at it, and after a couple pages worth of quadratic equations, the truth was outed: The whole-number relationship just isn’t there – though it is, inexplicably, amazingly close. Another friend, Kit Africa, generated the drawing above via CAD, also revealing an oh-so-close 3-4-5 triplet. The bottom line: This drawing from antiquity is apparently symbolic: It celebrates the interaction of easily generated shapes that allowed artisans to intuitively design and build beautifully proportioned and aligned forms on the principles of simple plane geometry.
“This has been Uncle Sam’s Woodshop of the Air, transcribed in Washington, D.C., and I’m Calvin Cobb wishing that, as you slide down the banister of life — that all the splinters are going in your direction! So long!”
This past week I taught the first Moravian bench class of 2018 at Roy Underhill’s Woodwright’s School in Pittsboro, NC. This is the sixth year I have done the class at Roy’s; we have produced about 120 benches in that time.
Over time, the class has changed and become more streamlined as my experience teaching it has increased. Of course, with each new group of students, there’s a different dynamic, even though we are building the same project. This keeps the class from ever becoming routine.
A first for this class was using a boring machine to hog out most of the waste from the long stretcher mortises. This was a huge improvement over a brace and bit.
We had a young fella named J.D. Stevenson and his father stop in to observe the class for an afternoon. We promptly put him to work. He made us all look bad – he’s 13 years old.
As always, I never seem to get any pictures of the very end of the class. The last day is always a mad dash to get as far as possible!
A few years back, Christopher Schwarz taught a handful of what he affectionately calls “the baby anarchist’s tool chest class.” The premise was to help build the woodworking community by offering to young would-be hand-tool woodworkers a low-cost class to jump-start their skills. These classes involved an intensive week of tuning up old tools, then learning to wield them while building a simpler version of his “Anarchist’s Tool Chest” in which to keep them, and little sleep or showering (because: camping).
Since Chris has stepped back from teaching, Mike Siemsen has taken up the baby anarchist baton, and is (for I think the third year) offering much the same at his Minnesota school. The 2018 “Hand Tool Immersion 101” class is May 7-11, and costs $650 (materials included). Mike is offering free camping and communal dinner prep on site. And bathrooms and showers. Because Mike spoils his students.