Ring Sector Model with Tray

thingiverse

When I teach cylindrical coordinates, I often refer to the shape labeled here as "Ring Sector." It's formed by creating a sector of a cylinder and then removing a sector with the same angle but a smaller radius. Another teacher in my department wanted something similar for demonstrations in lessons on surface area and volume. We came up with the idea to have the outer ring along with the sector piece, which I added an inner circle and sector to for a nice puzzle-like model that illustrates it all and could be used for more shapes and activities. The tray holds it together well. I printed this with rainbow filament so that the top and bottom would be different colors allowing for an option during demonstrations to highlight various pieces by flipping them. It had the added effect of fun rainbow coloring on all of the inside edges. Different top and bottom colors could also be created with a filament change. I printed all of the pieces together so they would have the same coloring with the rainbow filament. They have a 0.3 mm tolerance between the pieces, and I needed a tool to help pull them apart. Keep in mind that making the pieces smaller would reduce this tolerance. Certainly the pieces could be printed separately, so that's not an issue. Also see my Split Cylinder Model with Tray and my Volume Elements. More of my mathematical models can be found on Cults: https://cults3d.com/en/users/abbymath **Print Information** The whole model has a diameter of 160 mm and a height of 40 mm. The tray has a diameter of 167 mm and a height of 10 mm. I printed the model with a 0.3 mm layer height, and the tray was printed with a 0.2 mm layer height. The angle of the sector is 60 degrees. The model was printed with Stronghero3D's Exquisite Rainbow PLA filament from Amazon. I used 5% infill, 4 top layers, 4 bottom layers, and 3 outline/perimeter shells.