2025 Joint Mathematics Meetings
Clifford Singer
Artists
Statement
This work based on a Hypocycloid and titled as such, a (epicycloid), the arcs each contain 45 degrees and geometrically constructed with compass and ruler. In some cases, the construction is quite difficult and near impossible. With textbook examples I have been able to draw with a reasonable degree of accuracy. With textbooks the Hypocycloid is constructed having been obtained primarily by drawing from references. After working with logarithmic spirals in the 1980s, I developed a fascination with the Hypocycloid (epicycloid). Collinear points at intersection are employed with straight lines. Robert Mangold’s, Arabesque, 1992 appears as invalid Hypocycloid without symmetry lacks calculation.
Artworks
This work based on a Hypocycloid and titled as such, a (Epicycloid), the arcs each contain 45 degrees and geometrically constructed with compass and ruler. In some cases, the construction is quite difficult and near impossible. With textbook examples I have been able to draw with a reasonable degree of accuracy. With textbooks the Hypocycloid is constructed having been obtained primarily by drawing from references. After working with logarithmic spirals in the 1980s, I developed a fascination with the Hypocycloid (epicycloid). Collinear points at intersection are employed with straight lines. Robert Mangold’s, Arabesque, 1992 which appears as a Hypocycloid without symmetry lacks the circle.