We show that the "double circle" order type and some of its generalizations have a compatible triangulation with any other order types with the same number of points and number of edges on convex hull, thus proving another special case of the conjecture in Aichholzer (2003).

翻译：我们证明"双圆"序型及其某些推广形式，对于任意具有相同点数和凸包边数的其他序型，都存在相容的三角剖分，从而证明了Aichholzer (2003) 猜想中的另一个特例。