sin(​sqrt(​x^​2+​y^​2))/​sqrt(​x^​2+​y^​2) Castle Topper

cults3d

A castle topper to showcase your mathematical expertise while crafting an intricate design! Based on a 3D projection of the equation Z = sin(sqrt(x^2 + y^2)) / sqrt(x^2 + y^2), simply pack the mold with moist sand and attach it to your castle for a breathtaking accent! When I stumbled upon this challenge, I knew I wanted to create an engaging and captivating way to visualize mathematics in three dimensions, making it look truly remarkable was just an added bonus! To bring this model to life, I utilized Blender 3D modeling software, subdivided a plane into approximately 65k vertices and set each vertex according to the formula. From there, all I did was create the mold around the function. Unfortunately, due to my location, I didn't have access to any sand for molding, so I opted for brown sugar instead. Edit: Added a solid version for those who prefer a neat model of the function. Edit (7/31/15): Created and uploaded a significantly cleaner and more useful version, which prints without support and allows for a cleaner sand mold. This one actually works in Slic3r. Edit(7/14/15): Developed a version with the function displayed on the side.