Question

Identify the point groups of the following objects: (a) Baseball (consider the lacing in your answer)...

Identify the point groups of the following objects: (a) Baseball (consider the lacing in your answer) (b) Football (consider the lacing in your answer) (c) Hockey puck (d) Cricket bat (e) Soccer ball (f) Standard 36 spoke bicycle wheel (consider the arrangement of spokes in your answer)

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Answer #1

a)Baseball-D2d

b)hockey puck= Dh(D infinity h)

c)cricket bat=Cs

d)Soccer ball=Ih(icosahedron symmetry)

e)32 spoke wheel=Depends on arrangement of pair of spokes to the rim ,if the pairs alternate with respect to their side of attachment then we can draw 8 dihedral plane, 8 C2 axis ,c8 axis= D8d point group

If no such arrangement then it may lack symmetry=C1 point group


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