顶点数在<5时没有正多角星，顶点数>5时正多角星不唯一，本文只绘制最具代表性的一种

代码如下：

public class CanvasStar extends View{

public CanvasStar(Context context) {

super(context);

}

public CanvasStar(Context context, AttributeSet attrs) {

super(context, attrs);

}

public CanvasStar(Context context, AttributeSet attrs, int defStyleAttr) {

super(context, attrs, defStyleAttr);

}

public CanvasStar(Context context, AttributeSet attrs, int defStyleAttr, int defStyleRes) {

super(context, attrs, defStyleAttr, defStyleRes);

}

@Override

protected void onDraw(Canvas canvas) {

super.onDraw(canvas);

Paint paint=new Paint();

paint.setAntiAlias(true);

drawStar(canvas,paint,Color.RED,getHeight()/12,3,false);

canvas.translate(getHeight()/6,0);

drawStar(canvas,paint,Color.RED,getHeight()/12,3,true);

canvas.translate(-getHeight()/6,0);

canvas.translate(0,getHeight()/6);

drawStar(canvas,paint,Color.YELLOW,getHeight()/12,4,false);

canvas.translate(getHeight()/6,0);

drawStar(canvas,paint,Color.YELLOW,getHeight()/12,4,true);

canvas.translate(-getHeight()/6,0);

canvas.translate(0,getHeight()/6);

drawStar(canvas,paint,Color.GREEN,getHeight()/12,5,false);

canvas.translate(getHeight()/6,0);

drawStar(canvas,paint,Color.GREEN,getHeight()/12,5,true);

canvas.translate(-getHeight()/6,0);

canvas.translate(0,getHeight()/6);

drawStar(canvas,paint,Color.CYAN,getHeight()/12,6,false);

canvas.translate(getHeight()/6,0);

drawStar(canvas,paint,Color.CYAN,getHeight()/12,6,true);

canvas.translate(-getHeight()/6,0);

canvas.translate(0,getHeight()/6);

drawStar(canvas,paint,Color.BLUE,getHeight()/12,7,false);

canvas.translate(getHeight()/6,0);

drawStar(canvas,paint,Color.BLUE,getHeight()/12,7,true);

canvas.translate(-getHeight()/6,0);

canvas.translate(0,getHeight()/6);

drawStar(canvas,paint,Color.BLACK,getHeight()/12,8,false);

canvas.translate(getHeight()/6,0);

drawStar(canvas,paint,Color.BLACK,getHeight()/12,8,true);

canvas.translate(0,getHeight()/6);

}

/**

* 绘制彩色多边形或星形

* @param canvas Canvas画布

* @param paint Paint画笔

* @param color 颜色

* @param radius 外接圆半径

* @param count 外顶点数

* @param isStar 是否为星形

*/

private void drawStar(Canvas canvas, Paint paint, @ColorInt int color, float radius,int count,boolean isStar){

canvas.translate(radius,radius);

if ((!isStar) && count < 3){

canvas.translate(-radius,-radius);

return;

}

if (isStar && count < 5){

canvas.translate(-radius,-radius);

return;

}

canvas.rotate(-90);

if (paint == null){

paint = new Paint();

}else{

paint.reset();

}

Path path = new Path();

float inerRadius = count%2==0?

(radius*(cos(360/count/2)-sin(360/count/2)*sin(90-360/count)/cos(90-360/count)))

:(radius*sin(360/count/4)/sin(180-360/count/2-360/count/4));

for (int i=0;i

if (i==0){

path.moveTo(radius*cos(360/count*i),radius*sin(360/count*i));

}else{

path.lineTo(radius*cos(360/count*i),radius*sin(360/count*i));

}

if (isStar){

path.lineTo(inerRadius*cos(360/count*i+360/count/2),inerRadius*sin(360/count*i+360/count/2));

}

}

path.close();

paint.setColor(color);

canvas.drawPath(path,paint);

canvas.rotate(90);

canvas.translate(-radius,-radius);

}

/**

* Math.sin的参数为弧度，使用起来不方便，重新封装一个根据角度求sin的方法

* @param num 角度

* @return

*/

float sin(int num){

return (float) Math.sin(num*Math.PI/180);

}

/**

* 与sin同理

*/

float cos(int num){

return (float) Math.cos(num*Math.PI/180);

}

}

效果如下：