Low Poly Spheres: Triakis Tetrahedron

Low Poly Spheres: Low-poly, high-fun!

Low Poly Spheres is a series of 3D printable models of polyhedra that look like low-poly spheres. You may remember from math class that polyhedra are solid 3D shapes with flat polygonal faces, straight edges, and sharp corners or vertices. Low Poly Spheres are fun to make and display. You can print them in different colors and sizes, and use them as decorations, toys, or educational tools. Low Poly Spheres are a fun way to enjoy 3D printing and mathematics. They are simple, yet beautiful and fascinating. 

Triakis Tetrahedron is a fascinating 3D printable model that captures the beauty of geometric precision. You might recall from your math classes that a tetrahedron is a type of polyhedron with four triangular faces, four vertices, and six edges. However, a Triakis Tetrahedron takes it a step further, adding a triangular pyramid (or "triakis") to each face, resulting in a more complex and visually intriguing shape.

Fun Facts About the Triakis Tetrahedron

• Complex Structure: The Triakis Tetrahedron has 12 triangular faces, 8 vertices, and 18 edges.
• Explanation: Each of the four faces of the original tetrahedron is replaced with a pyramid composed of three new faces, totaling 4×3= 12 faces.
• Dual Polyhedron: It is the dual of the truncated tetrahedron, which is one of the thirteen Archimedean solids.
• Symmetry: Despite its complex appearance, the Triakis Tetrahedron maintains a high degree of tetrahedral symmetry, making it aesthetically pleasing.
• Uniform Face Transitivity: All its faces are congruent isosceles triangles, and the polyhedron is face-transitive.
• Applications: This shape is used in fields like architecture, art, and mathematical research due to its unique properties and visual appeal.