The paper presents a method to achieve a topological photonic crystal using conventional dielectric materials by deforming a honeycomb lattice of cylinders into a triangular lattice of cylinder hexagons. The photonic topology is based on a pseudo-time-reversal (TR) symmetry, which is supported by Maxwell's equations and the $C_6$ crystal symmetry. This symmetry leads to Kramers doubling in the photonic system. The authors explicitly show that the pseudospin role is played by the angular momentum of the wave function of the out-of-plane electric field. By solving Maxwell's equations, they demonstrate the new photonic topology through pseudospin-resolved Berry curvatures of photonic bands and helical edge states characterized by Poynting vectors. The study highlights the potential of this design for future applications, as it does not require external fields or gyromagnetic or bi-anisotropic materials. The paper also discusses the physical mechanisms behind the topological properties, including the role of pseudo-time-reversal symmetry and the pseudospin states.The paper presents a method to achieve a topological photonic crystal using conventional dielectric materials by deforming a honeycomb lattice of cylinders into a triangular lattice of cylinder hexagons. The photonic topology is based on a pseudo-time-reversal (TR) symmetry, which is supported by Maxwell's equations and the $C_6$ crystal symmetry. This symmetry leads to Kramers doubling in the photonic system. The authors explicitly show that the pseudospin role is played by the angular momentum of the wave function of the out-of-plane electric field. By solving Maxwell's equations, they demonstrate the new photonic topology through pseudospin-resolved Berry curvatures of photonic bands and helical edge states characterized by Poynting vectors. The study highlights the potential of this design for future applications, as it does not require external fields or gyromagnetic or bi-anisotropic materials. The paper also discusses the physical mechanisms behind the topological properties, including the role of pseudo-time-reversal symmetry and the pseudospin states.