Half Dodecahedron, Making Your Own Dodecahedron
Taking things apart and reassembling them is an important part of doing mathematics. It is fun to see how things come together in mathematically accurate ways.
To build a dodecahedron, we can start with a regular pentagon with a certain side length and then extrude at a taper angle of [ atan(2)-90 ] for 1/12 of a dodecahedron. Then, we could repeat 5 mirroring operation of this pentagonal pyramid for 1/2 of dodecahedron. And it takes two halves to make a whole.
Of course, there are other ways to do it. Have fun!
.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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