Golden Rhombohedra, Acute, Obtuse, Golden Ratio, Dodecahedron, Rhombic Triacontahedron

thingiverse

Golden Rhombohedra Starting from a golden rhombus, we can build a 30-faced rhombic triacontahedron that serves as the foundation for further constructions. This includes building a golden icosahedron and a golden (Bilinski) dodecahedron. From a golden dodecahedron, we can derive two types of golden rhombohedra: the acute form and the obtuse form. These six-faced polyhedra may appear unusual on screen but they fit together seamlessly when handled. There are multiple approaches to create these models, and the one described is just one method used. Despite their simplicity or complexity, it's essential that children have the opportunity to interact with them, gaining a deeper understanding of mathematics through hands-on experience. The intricate connections within these mathematical marvels are a treasure trove waiting to be explored. Two sizes of rhombi are provided: those with a short diagonal measuring 25mm and those with a short diagonal of 50mm. How to Play To build a golden dodecahedron, combine two acute golden rhombohedra with two obtuse ones. Alternatively, ten acute golden rhombohedra can be combined with ten obtuse ones to construct a golden rhombic triacontahedron. References 1. http://www.cutoutfoldup.com/979-golden-rhombohedra.php 2. http://www.georgehart.com/virtual-polyhedra/dissection-rt.html 3. https://en.wikipedia.org/wiki/Rhombic_triacontahedron