(2) Design of sphere_Tessellation of a sphere using a great circle

 ① Tessellation of a cube

 

Using [Spherical octacu], mark the eight corners of a regular cube on a white ball. (You can also mark the corners of a regular octahedron.)


Next, connect the dots on the ball to form an arc.


Color the divided surfaces alternately.


② Tessellation of a regular octahedron

 

Using [Spherical octacu], mark the six vertices of a regular octahedron on a white ball, then mark the centers of the eight spherical triangles. (You can also mark the eight vertices of a regular cube using [Spherical octacu].)

With 14 points marked, connect all neighboring points with an arc of a great circle.

Just paint each divided side alternately orange.


③ Tessellation of the icosahedron

 

Using [Spherical icodo], mark the 12 vertices of an icosahedron on a white ball.


Connect the 12 vertices with an arc of a circle.


Now, let's connect the two vertices that are a bit further apart with an arc of the great circle.



By painting each side alternately, you will complete a design of sphere like the one below.




Ⓒ msolid

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