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"Spin Ice" is an exotic type of frustrated magnet realized in "pyrochlore"materials Ho_{2}Ti_{2}O_{7}, Dy_{2}Ti_{2}O_{7}, Ho_{2}Sn_{2}O_{7}, etc., inwhich magnetic atoms (spins) reside on a sublattice made of the vertices ofcorner-sharing tetrahedra. Each spin is Ising-like with respect to a local axiswhich connects the centers of two tetrahedra sharing the vertex occupied by thespin. The macroscopically degenerate ground states of these magnets obey the"two-in two-out" "ice rule" within each tetrahedron. Magnetic monopoles andanti-monopoles emerge as elementary excitations, "fractionalizing" theconstituent magnetic dipoles. This system is also a novel type of statisticalmechanical system. Here we introduce a conceptual generalization of "spin ice"to what we shall call "color-tripole ice", in which three types of "colorcharges" can emerge as elementary excitations, which are Abelian approximationsof the color charges introduced in high energy physics. Two two-dimensional(2D) models are introduced first, where the color charges are found to be 1Dand constrained 2D, respectively. Generalizations of these two models to 3D arethen briefly discussed, In the second one the color charges are likely 3D.Pauling-type estimates of the "residual (or zero-point) entropy" are also madefor these models.

"Color-tripole ice" as a conceptual generalization of "spin ice"