Hi Alex,
I’ve always been intrigued about drilling square holes when, as an apprentice, one of the toolmakers told me it was possible using a triangular drill which went around in an orbit. That was the limit of his explanation.
Norman (NJH) has hit upon a good web-site htttp://mathworld.wolfram.com/ReuleauxTriangle.html which is sufficiently animated to understand the principle.
Isn’t it a version of our old friend, the epitrochoidal? Better known from its use in the Wankel (NSU and Mazda) rotary engines. There’s a book (somewhere) which describes a multiplicity of rotary engines. It features a range of epitrochoidal orbits from two lobe onwards.
Rob Manley’s directive to the `square hole drilling’ video, is well worth watching, but I haven’t worked out how the drill can be fully inserted in the round hole immediately. But re-running and closer inspection of the video shows that the workpiece already has a square hole in it, and the drill chuck is designed to slide freely in any direction at right angles to the drill axis. The drill also appears to be driven by the workpiece. I have to presume that the size limit for the square hole is a direct function of the triangular drill dimensions. Could it be that to get things started, there has to be a slightly recessed pilot hole equivalent to the diagonal of the square minus the corner fillets?
While it would be a nice exercise to build the drill mechanism, with only four small holes to square and corner out, I’d stick with filing too Alex. Some of the needle files might even be 1/8″ square anyway, so there’s the makings of your broach.
Regards,
Sam
Edited By Sam Stones on 22/07/2010 02:37:52