Bilinski Dodecahedron, Golden Rhombus, Golden Ratio
This is the famous Bilinski Dodecahedron with 12 golden rhombi, whose diagonals have the golden ratio φ (1.618 …). It is geometrically different than the regular rhombic dodecahedron whose rhombi have a diagonal ratio of square root of 2. Until May 4, 2018, I could not find one on Thingiverse. So here you go!
It is not easy to design, though. I started with a golden rhombus, designed the rhombic triacontahedron, removed two belts, and combined the 12 rhombi left over from the process. It looks very strange but is still pretty, especially after all the mental gymnastics! Print one, play with it, and have fun!
STEAM educator, learning from and working with K-12 STEAM teachers to explore new ideas of teaching and engagement. I firmly believe ART is at the core of STEM learning or all human learning! I owe my ideas and designs to the hundreds of K-12 children and teachers and university professors I have had the pleasure of working with, in multiple disciplines-- math, science,engineering language arts, social studies, early childhood education and more! All mistakes, of course, are mine! There is no warranty or liability whatsoever implied or explicit behind the designs or ideas. They are all posted for their potential educational values.
When working with children, please strictly observe all safety and health procedures! Please refer to the NSTA safety guides: http://www.nsta.org/safety/.
LGBU Contact: LGBU@SIU.EDU