Nested structures are everywhere in mathematics--recursive functions. Here is a sequence of 15 dodecahedron shells, ranging from 48mm to 6mm in terms of exterior edge length. You could choose any number from them and make a nested structure. It takes two halves to make a whole, of course. Each shell is 2mm thick; its edge length drops by 3mm. By the way, how does the volume of each dodecahedron change, as the side length goes down by 3mm?
.1 to .2mm
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.
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