Perovskite-type <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mrow><mml:mi>YRh</mml:mi></mml:mrow><mml:mn>3</mml:mn></mml:msub><mml:mi mathvariant="normal">B</mml:mi></mml:math> with multiple types of nodal point and nodal line states

Experimentally synthesized perovskite-type YRh$_{3}$B with a $Pm\bar{3}m$ type structure was proposed as novel topological material (TM) via first-principles calculations and the low-energy $k\cdot p$ effective Hamiltonian, which has quadratic contact triple point (QCTP) at $\Gamma$ six pairs of open nodal lines (NLs) hybrid type. Clear surface states observed in spectrum confirmed states. When spin-orbit coupling considered, QCTP transferred to quadratic-type Dirac (NP). Under 1$\%$ tetragonal strained lattice constants, hosted richer states, including two-fold degenerate NP, NLs type, two closed I Moreover, it proved that its constants contain all types band-crossing points (BCPs) (i.e., I, II, critical type). Such rich NP NL one compound make potentially applicable for multifunctional electronic devices well an appropriate platform study entanglement among