旋轉平面 旋轉面旋轉平面英語plane of rotation是一個用於描述空間旋轉的抽像概念 十維以下的旋轉平面數量如下表所示 旋轉平面主要用作描述四維空間及以上的旋轉將高維旋轉分解為簡單的幾何代數描述 數學上旋轉平面可用多種方式描述可用平面和旋轉角度來描述可用克利福德代數的二重向量來描述旋轉平面又與旋轉矩陣的特徵值和特徵向量有關 已隱藏部分未翻譯内容歡迎參與翻譯 In three dimensions英语three dimensions it is an alternative to the axis of rotation英语Rotation around a fixed axis but unlike the axis of rotation it can be used in other dimensions such as two英语two dimensions four英语Fourdimensional space or more dimensions 旋轉平面在二維和三維中使用不多因為在二維中只有一個平面因此識別旋轉平面是微不足道的並且很少這樣做而在三維中旋轉軸具有相同的目的並且是更成熟的方法 Planes of rotation are not used much in two英语two dimension and 三維空間s as in two dimensions there is only one plane so identifying the plane of rotation is trivial and rarely done while in three dimensions the axis of rotation serves the same purpose and is the more established approach The main use for them is in describing more complex rotations in higher dimensions英语higher dimensions where they can be used to break down the rotations into simpler parts This can be done using geometric algebra英语geometric algebra with the planes of rotations associated with simple bivectors英语BivectorSimple bivectors in the algebra