剪紙可說是平面造形的創作表現之一，造形有視覺意象的傳達，構圖上可以是千變萬化。從造形基礎的原理來看，剪紙具有造形排列的發展性與關聯性。本研究從剪紙手法中的摺和剪之間，探討剪紙在幾何造形排列上表現，試圖藉由幾何圖形的基礎概念，以點、線、面的造形元素，瞭解造形排列的因素在剪紙摺與剪之間的關係。研究方法透過實驗研究的方式進行，設定前測與後測研究樣本，研究樣本以摺紙完成單位形為限制，分為三角形、正方形兩種形態幾何形。研究結果顯示剪紙完成後造形排列的展開位置，跟摺紙步驟過程所形成的摺線，兩者之間有相對應連結，透過兩種不同研究樣本的驗證比較，發現以三角形摺紙完成單位形，其剪裁造形排列位置會受限於菱形的框架，而正方形摺紙完成單位形則受限於類似方格狀的摺線位置。可以確定兩種研究樣本，在摺紙步驟方式不同下，摺線的出現位置也會不相同，但所剪裁後出現的圖形位置上一定有摺線經過，說明了剪紙過程中摺線的摺法會影響裁剪圖形在造形排列的位置。研究結果證明只要剪紙創作過程，預先知道設計摺線，就可知道造形的排列位置圖形的表現，這樣的結果可做為造形創作原則掌握的依據，提升創作者的效率。

Paper cutting can be regarded as a graphic expression of creation. A shape conveys the visual image, and it has a great variety of changes in terms of the configuration of the graph. From the perspective of the form principle, paper cutting has figural linkage and development in terms of its formation. Thus, the research seeks to explore the figural permutation on the geometric formation of paper cutting between the folding and cutting of the paper cutting techniques. It attempts to understand the relations between folding and cutting in the form elements of points, lines, and planes of graphic permutation. The methodology of the research adopts experimental research to design the research sample between the pretest and the posttest. The research sample is only limited in the figures after being folded, and is divided into two geometric forms: triangle and square. The results demonstrate that the spread position of its permutation after paper cutting and the fold lines in the process of folding have corresponding relations. Through the comparison of two different research samples, the researchers discover that the permutation of the cutting design of the triangular folding as the basic form will be restricted by the frame of the rhombus frame. Instead, the square of paper folding is restricted by the positions of the square folding lines. But one thing is sure between the two research samples: in the different fold steps, the fold lines will be differently located if the folding steps change. But there must be fold lines after the figures were cut. This explains that the ways of fold lines will exert impact upon the formal permutation of the figure being cut. The results of the research prove that we can know the permutation position of the graphic expression as we can predict the folding lines designed in the cutting process. The results can be employed as the basis for the creation of the form principle which enhances the efficiency of the creator.