Twisted Platonic Solids

myminifactory

The Platonic solids, cut into q identical pieces, where q is the number of faces meeting at each vertex, offer a fascinating mathematical challenge. Tetrahedron - 3 Pieces Cutting a tetrahedron into three equal parts creates an intriguing puzzle that requires careful consideration of its symmetrical properties. Cube - 3 Pieces A cube, divided into three identical pieces, presents a unique opportunity to explore the relationships between its faces and vertices. Octahedron - 4 Pieces The octahedron's geometry lends itself perfectly to being cut into four equal parts, creating an intricate puzzle that demands attention to its vertex structure. Dodecahedron - 3 Pieces Cutting a dodecahedron into three identical pieces reveals the beauty of its symmetry and requires a deep understanding of its geometric properties. Icosahedron - 5 Pieces The icosahedron, when divided into five equal parts, presents an engaging puzzle that showcases its unique vertex configuration. These puzzles are inspired by a creative project found on Thingiverse, where users can share and explore various designs. At full scale, these Platonic solids stand approximately 6.5 cm tall. The models shown in the pictures were printed at 65% of their actual size.