We would like to acknowledge Douglas Meade, Ronda Sanders,
and Xian Wu from the University of South Carolina for
suggesting and designing the original Goblet project.
The instructor and 18 students made Goblets, Bowls or Vases which
were volumes of revolution. Students used the formulas (learned in class)
to calculate the volume of the container and of the liquid it held as well as
the center of mass of the container without and with the liquid. Students used
Maple 2022 to do the computations as well as to make 2D and 3D plots of the
container, shown below.
The 2D and 3D plot were first exported from Maple 2022 as jpg images
shown below as still pictures. Then they were exported as x3d images,
shown below as pictures which can be rotated with a mouse-drag, zoomed
with the mouse wheel and panned with a ctrl-mouse-drag. Finally they were
exported in the stl format to be 3D printed but, unfortunately, we never got to print them.
To see how these are programmed, download the Maple Worksheet, and execute
it in Maple. The jpg and x3d files are created by right clicking in a plot
and selecting export. The stl files are created using the exportplot command.
Final Projects have been edited by the Instructor Dr. P. Yasskin and his
Teaching Assistant Logan Knudsen.