(8) Placing the vertices of a icosidodecahedron on a sphere

  Let's try marking the vertices of a dodecahedron on a ball. For more information, please refer to the book ‘Spherical Design and Regular Polyhedron’.

 

Method 1

 

  Using [Spherical icodo], mark the vertices of an icosahedron on the ball.

 



  Using the scale of [great circle ruler], mark the midpoints of two adjacent vertices. These midpoints are the vertices of the icosidodecahedron on the sphere.


  If we connect all these midpoints, we get a icosidodecahedron on a sphere.

 

 

Method 2

 

  Using [Spherical icodo], mark the vertices of a regular dodecahedron on the ball pool surface. Then, mark the midpoints of two adjacent vertices using the scale of a great atom. Connecting these midpoints completes the icosidodecahedron on the sphere.



Ⓒ msolid 

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