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一、概论对称是形式美的表现手法之一,它本来是生物体结构的一种规律性的表现方式。随着对称这一概念在各学科的广泛应用,对称的定义逐渐严格。在不同学科中,侧重点不同。本文只涉及旋转对称及其在商标设计中的运用。旋转对称图案,即由图案的中心点向外引一直线,通过组成该图案某一单元的相应的位置至图案的外缘,然后把该单元随引线旋转一定角度,即与所旋转方向的相临的单元重合;旋转360°后所重合的次数,取决于单元的数量。这里的引线称之为旋转轴线,相临的两个旋转轴线的夹角称之为旋转角度,重合的次数称之为旋转轴次,图案称之为旋转对称图案(见图1)。旋转对称不同于镜面对称(亦称轴对称)。镜面对称的轴线是通过整个图案,沿轴线折叠后其图形重合(见图
First, the generalization of symmetry is one of the forms of expression of beauty, it was originally a biological organism structure of a regular expression. As the concept of symmetry is widely used in various disciplines, the definition of symmetry is becoming more and more strict. In different disciplines, the emphasis is different. This article only deals with rotational symmetry and its application in trademark design. Rotation Symmetrical pattern, that is, from the center of the pattern to a straight line, through the composition of the pattern of a unit of the corresponding position to the outer edge of the pattern, and then rotate the unit with the lead a certain angle, that is, with the rotation of the phase Pro-unit coincidence; the number of coincidences after 360 ° rotation depends on the number of units. Here the lead is called the axis of rotation, the two adjacent rotation axis angle is called the rotation angle, the coincidence number is called the rotation axis, the pattern is called the rotational symmetry pattern (see Figure 1). Rotational symmetry is different from mirror symmetry (also known as axisymmetric). Mirror axis of symmetry through the entire pattern, folded along the axis of its graphic coincidence (see Figure