lampshade - SP14

grabcad

A unique "Grasshopper" script with three formulas generated this intricately mathematically formed surface. Out of a multitude of variations, I selected SP14 and transformed it into a 3D printable lampshade. The diameter measures 20 cm and the height is 25 cm - large enough to accommodate a standard LED bulb with 10.5 Watts. Easy handling is key: simply push the shade over the socket with the bulb elevated, then attach the clip over the socket, and lower the lamp shade to create your new light fixture. Both parts can be printed using a large nozzle (0.8-1.2 mm) in vase mode without support structure. Secure the shade with a wide edge (brim) on the printing plate to prevent it from detaching. Enjoy 3D printing! SP stands for "Stereosphere" - a spherical segment without poles, and 14 is the variant number. The formulas are provided below: X = (75*(2*u/(u*u+v*v+1)))+(1.75*((cos((1.0*(u*u*u))*50))*(1.75*(sin((1.0*(v*v*v))*50))))) Y = (75*(2*v/(u*u+v*v+1)))+(1.75*((-sin((-1.0*(u*u*u))*50))*(1.75*(-cos((1.0*(v*v*v))*50))))) Z = 122+(120*(u*u+v*v-1)/(u*u+v*v+1)).