本研究目的在於探索不同的造形方式，深入試驗不同的相對運動型式，組合運動結構與操控運動參數，在幾何空間中進行軌跡運算而產生造形。經由觀察運動過程與分析軌跡形式，以歸納操控運動參數的變異範圍，與軌跡構成形態之間的關係。
研究中設定五種物理運動型式：旋繞型、幾何多邊型、直線軸距型、追逐型、與均分型物理運動，每種運動型式各有特質。運動結構經分析有屬階層深度(SsOs、SsOm)、或水平的層級分支(SmOs、SmOm)、遞迴結構與Chaotic Terms模式等組合變化，而運動參數有方向、距離、相對強度與相對速度等四種操控型式，多面向的組合變因藉由相對運動之視覺化編輯工具(Relative Motion Creator)，可互動編輯與迅速獲得多變的幾何造形。
相對運動產生幾何軌跡的造形方法，是呈現幾何造形的另一種型式。本研究結合物理性質與數的規律，為產生造形的方法帶來不同的思考途徑，歷經了一場視覺饗宴，期待在造形的構成形式上能有新穎的變化與視覺感受，對於設計與藝術能有不同的啟發與貢獻。

The purpose of this study is to explore new methods of creating forms. To manipulate different models of relative motions, compositions of movement structures, and the parameters of the calculations seem to be promising mechanisms in this regard. Patterns generated with computing geometry on space can be visually appealing, but unpredictable to certain extend. Efforts were made to generalize the connections between the variations of manipulating parameters and compositions of geometric trajectories based on observations in the process of relative motions and analyses of inherent shapes.
In this study, relative motions include five models: Orbital, Polygonal, Wheelbase, Pursuit, and Weight motions. Each model has inherent characteristics. Composing of movement structures can be visualized with the different combinations of Depth-level (SsOs、SsOm), or Breadth-level (SmOs、SmOm) of structures, Recursive Frameworks, and Chaotic Terms models. Manipulations of motion parameters include four models: Direction, Distance, Relative Magnitude, and Relative Velocity. The multidimensional factors can be controlled and operated by way of visualized authoring applet of relative motion (Relative Motion Creator), and easily generate various geometric patterns with interactive authoring.
Using the relative motions we have investigated the generative methods of geometric trajectories on pattern formation. Research findings from earlier studies suggest that physical movements can result in highly unpredictable complex forms. It has always been a pleasure to observe various unseen forms gradually unfurling their mysterious charms. We have harvested in this study, an expedition we seldom experienced in the field of design. It is our hope that many artists and designers may join our journey in the foreseeable future.

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