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. Author manuscript; available in PMC: 2015 Oct 1.
Published in final edited form as: Phys Rep. 2014 Oct 1;543(1):1–60. doi: 10.1016/j.physrep.2014.05.001

Figure F.42.

Figure F.42

Two examples of geometrically frustrated systems in nature. (a) An Ising magnet with antiferromagnetic bonds on a triangular lattice; a bond with unfavorable spins orientations is marked with a wiggly arrow. (b) Five fold and seven disclinations are marked with blue and red shades on a tesellated sphere. Euler theorem requires the presence of at least 12 five fold disclinations to account for the non zero Gaussian curvature of the sphere.