When brainstorming ideas for this project, as a group we knew we wanted to use some of the different shapes and formulas we learned over the semester and incorporate them into an image on Mathematica. After thinking about parabolas and spheres, we realized we could compile these different shapes to create a few different flowers. After experimenting with Mathematica’s different functions, we settled on creating a bouquet with a rose, daisy, and bluebonnet. Each of the flowers was compiled using different formulas taught throughout the semester. For the wrapping holding the bouquet together, we used a cone shape command. For the stem of each flower, we used a long cylindrical shape. We learned that we could adjust the size of the stem by changing the radius. We made it 0.05 to represent the typical long narrow shape of a stem seen in nature.
Each individual flower was compiled with different shapes to create the varying petals. For the rose, we used a parabolic shape. We then changed the radius of the parabolic shape, and the parameters of the stem to graph both shapes together. The daisy was created using two shapes. First a sphere for the center, and then smaller ellipsoids as the petals. Finally, the bluebonnet was formed by placing multiple spheres along the stem to create the distinctive shape of the flower. For this step, we just repeated the command for a sphere. To assemble the flower, we adjusted the parameters of the stem and each of the spheres. Altogether, this allowed us to create the final image of a bouquet.
