11. (6 points) As shown in the figure, it is an equilateral triangle divided into 4 smaller equilateral triangles. The vertices are to be colored using red and yellow. Each vertex must be colored, and only one color can be used per vertex. After coloring, if the coloring of the equilateral triangle is the same after rotation, it is considered the same coloring. How many different coloring methods are there?
【Analysis】It is divided into two major categories: using only 1 color, and using two colors. The results are derived through categorized discussions.
【Solution】(1) Using only one color: There are $1+1=2$ cases,
(2) The ratio of the number of points of two colors is $1: 5$, there are $2+2=4$ cases,
(3) The ratio of the number of points of two colors is $2: 4$, there are $2 \times(1+1+3)=10$ cases,
(4) The ratio of the number of points of two colors is $3: 3$, there are $1+3+3+1=8$ cases, the total number of coloring methods: $2+4+10+8=24$ cases.