The Mathematics of Mitering and its Artful Application

Tom Verhoeff and Koos Verhoeff
Bridges Leeuwarden: Mathematics, Music, Art, Architecture, Culture (2008)
Pages 225–234


We give a systematic presentation of the mathematics behind the classic miter joint and variants, like the skew miter joint and the (skew) fold joint. The latter is especially useful for connecting strips at an angle. We also address the problems that arise from constructing a closed 3D path from beams by using miter joints all the way round. We illustrate the possibilities with artwork making use of various miter joints.