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Ruppeiner geometry has been successfully applied in the study of the blackhole microstructure by combining with the small-large black hole phasetransition. In this paper, we will extend the study to the triple point, wherethree black hole phases coexist. For the six-dimensional charged Gauss-Bonnetanti-de Sitter black hole, we thoroughly investigate the swallow tail behaviorsof the Gibbs free energy and the equal area laws. After obtaining the blackhole triple point, we exhibit its phase structures both in pressure-temperatureand temperature-horizon radius diagrams. Quite different from the liquid-vaporphase transition, a double peak behavior is present in the temperature-horizonradius phase diagram. Then we construct the Ruppeiner geometry and calculatethe corresponding normalized curvature scalar. Near the triple point, weobserve multiple negatively divergent behaviors. Positive curvature scalar isobserved for the small black hole with high temperature, which indicates thatthe repulsive interaction dominates among the microstructure. Furthermore, weconsider the variation of the curvature scalar along the coexistingintermediate and large black hole curves. Combining with the observation fordifferent fluids, the result suggests that this black hole system behaves morelike the argon or methane. Our study provides a first and preliminary steptowards understanding black hole microstructure near the triple point, as wellas uncovering the particular properties of the Gauss-Bonnet gravity.

The microstructure and Ruppeiner geometry of charged anti-de Sitter black holes in Gauss-Bonnet gravity: from the critical point to the triple point