Below one may find links to several different wheel patterns that we have designed in order to assist in the study of the various symmetries found in the blossoms of flowers.
Understanding the Symbols of the Template
Before using these templates it is important to understand how they each work. Each template is designed using a circle. Point A is the center of the circle and point B is a point on the circle. It is possible to move either point A or B to change the size of the circle. A third point is C. This point marks a point that will be rotated by a degree measure determined by the chosen wheel pattern. Note the the point C is located on the circle at the end point of a radius that is marked with a thick blue line. The other thick blue lines show where C could be rotated. Another feature that is found when a D (dihedral) wheel symmetry is chosen is the dashed line. Each dashed line marks a mirror of the pattern.
Using the Templates
When using the templates for individualized investigations, there are several approaches that will work. We suggest using the following methodology. First, take a careful look at the flower you are trying to classify to determine with which wheel pattern you believe it will match. At this point, copy the image of the flower by using the edit menu or right clicking on your mouse and choosing copy. Next click on the link below for the wheel pattern you have decided upon. When the GSP file comes up on your screen, paste the image of the flower on the screen by once again using the edit menu or right clicking your mouse. Once you have the image pasted in the GSP screen it is time to see if you have chosen the appropriate wheel pattern. Now, click on the circle and drag it over the flower to position the center of the circle, A, at the point which you see as the center of rotation. Next, click on C and line the thick blue line up in the position you think will work best with the wheel pattern. In general, it may be easiest to position the blue line down the middle of a petal of the flower. At this point, click on B and drag the edge of the circle until the circle is approximately the size of the flower.
Were You Successful?
Now, if you chose the correct wheel pattern and properly aligned the template over the flower then the symmetries of the pattern should match up with the symmetries of the flower. Keep in mind, the angle of the picture (among other factors) may make it impossible to perfectly align the template with the picture, but it should be close. You may have to use your visualization skills to analyze whether or not the template would fit if the image was viewed at the best angle. If you have chosen the incorrect wheel pattern then we suggest you reevaluate the image and try again. Remember, this is a learning process.