Tokamak

thingiverse

The Tokamak, derived from the Russian term for "Toroidal Chamber with Magnetic Coils," is a device that harnesses super-heated plasma and high-intensity magnetism to serve as a power source similar to nuclear reactors or wind turbines. From a mathematical standpoint, the Tokamak exemplifies both theoretical and applied physics, vector fields, and advanced calculus in a remarkable way. Although it's not typically used for hands-on manipulation in a classroom setting, this model can effectively help students grasp the movements of vector fields in a physics or higher math class focusing on curve parameterization or contour integrals. Print Settings Printer Brand: SeeMeCNC Printer: Rostock MAX Rafts: No Supports: No Notes: The Tokamak file needs to be printed twice, or with an additional copy for both halves. Ring files should be printed between three and six times to ensure stability on the cylindrical base. Post-Printing Assembly Both halves of the main torus will require gluing together along with each pair of ring halves depending on how many rings are printed. Heavy-duty glue is recommended, ensuring that the half-spheres serving as stabilizers fit correctly into their corresponding counterparts. Creation Process The Tokamak model was created by combining three separate Rhino files: 1. The toroidal chamber: A section was cut out from a torus and partially filled with a smaller torus before being sliced in half for proper printing on the print bed. 2. The outer rings: Rings were created by attaching a ring, a rectangular prism, and a sphere, ensuring stability and correct placement within the torus. The rings were divided into halves to facilitate easier printing. 3. The cylinder and base were created last. No mathematical formulas were used in creating this model or its components. Standards NGSS CCSS Overview and Background The Tokamak, from the Russian for “Toroidal Chamber with Magnetic Coils,” is a device that uses super-heated plasma and high-intensity magnetism in order to be used as a power source much like a nuclear reactor or a wind turbine. Mathematically, the Tokamak is a strong example of both theoretical and applied physics, vector fields, and advanced calculus. This isn't really the type of manipulative that would be "played with" in a classroom setting, but it could definitely help students understand the movements of vector fields in a physics or higher math class that may focus on the parameterization of curves or contour integrals. Lesson Plan and Activity This model is not typically used for hands-on manipulation in a classroom setting, but it can effectively help students grasp the movements of vector fields in a physics or higher math class focusing on curve parameterization or contour integrals. Custom Section While finding the parametrizations of the spirals that make up each torus could be useful in creating specific tori and representing the flow of magnetic vector fields, these equations were developed by Dr. Dan Jackson. The system of equations used to represent the course of the magnetic field traveling around the tokamak is as follows: x(t)=30.5+8.5cos(5t)cos(t/5) y(t)=30.5+8.5cos(5t)sin(t/5) z(t)=8.5*sin(t/5) These equations were developed by Dr. Dan Jackson. Final product created on 12/1/16 by TA and JG.