Three pentagons on a point
If you put three regular pentagons around a point, there will be holes between them because the sum of the angles is smaller that 360°. This holes let the pentagons of the net of a dodecahedron fold up in the three-dimensional space to create a dodecahedron.
We can also compare this with what happens when we put three dodecahedra around an edge.
Image used in the survey “Officina della matematica” in the double number 4-5 of the magazine XlaTangente.
© matematita
immagine di Gian Marco Todesco
The image belongs to the sections...:
Number 4-5 (From "XlaTangente")
Polygons (2D geometry)
Nets for polyhedra (3D geometry)
Further information:
http://www.toonz.com/personal/todesco
