三等正轴测中的四段式魔阶图

魔阶图中的台阶又称为无终端升降台阶。迄今所见到的仅为四段式的、级数为16和18、踏步面为正方形魔阶的三等正轴测图。本文系统地研究了三等正轴测图中四段式魔阶的级数及分段级数、升高及踏步级高等参数的性质,提出了同一级数四段式魔阶型式数的计算公式以及分段级数的选定方法。此外,为了对变化众多的型式进行识别或命名,还提出了型式编码和编码变位。所有这些,都为四段式魔阶的三等正轴测图的绘制,提供了理论依据。

The Drawing of Four-Flight Magical Stair in Isometric Projection

The magical stair is also called the endlessly rising staircase. This treatisesystematically studies the properties of parameter such as the total step number,the step number of every flight, the rising height and step height of a magicalstair in isometric projection drawing, and put forward the formulae for thenumber of types and the selecting method of the step number in every flight withthe same condition in step number of a magical stair. In order to differentiateso much such variable types or name them, a type code and a variety of codeposition are advanced in this paper. All the abovementioned is the theoreticalbasis of the isometric projection drawing of the magical stair.