Tetrahedron, Puzzle, Triangular Pyramid, Dissection, Four Pentahedra
cults3d
Dissecting a Regular Tetrahedron into Four Congruent Pentahedra The regular tetrahedron, a key component of the Platonic solids family, can be expertly dissected in multiple ways to create an engaging puzzle. In this project, a precise tetrahedron is sliced into four congruent pieces using two planes that contain the exact midpoints of three edges (refer to the figure below). Each individual piece takes the form of a pentahedron featuring two equilateral triangles, two right triangles, and a rhombus. To assemble a complete tetrahedral puzzle, you will need 4 identical copies. This project serves as an excellent starting point for learning about 3D sketching techniques and extruding at various taper angles. The dihedral angle of a regular tetrahedron can be calculated using the arccos (1/3) formula. Interestingly, it is also possible to create a tetrahedron by carefully slicing a cube. Have fun exploring these geometric concepts!
With this file you will be able to print Tetrahedron, Puzzle, Triangular Pyramid, Dissection, Four Pentahedra with your 3D printer. Click on the button and save the file on your computer to work, edit or customize your design. You can also find more 3D designs for printers on Tetrahedron, Puzzle, Triangular Pyramid, Dissection, Four Pentahedra.