This paper presents the discovery of graphynes, a class of two-dimensional carbon materials that possess Dirac cones, similar to graphene. Unlike graphene, which has hexagonal symmetry, some graphynes, such as 6,6,12-graphyne, do not have hexagonal symmetry and exhibit distorted Dirac cones with unique electronic properties. The study uses first-principles electronic structure calculations to investigate the electronic properties of three graphynes: α-graphyne, β-graphyne, and 6,6,12-graphyne. The results show that α-graphyne has two Dirac points with properties similar to those of graphene, while β-graphyne has six Dirac points located at different positions in the Brillouin zone. 6,6,12-graphyne, which has rectangular symmetry, exhibits four Dirac points with different electronic properties. The study shows that the presence of Dirac cones is not limited to hexagonal symmetry and that materials with different symmetries can also exhibit Dirac cones. The electronic properties of these materials, including their conductivity, are direction-dependent due to their unique symmetries. The results suggest that many two-dimensional materials, including those not made of carbon, could have Dirac points and thus possess interesting electronic properties. The study highlights the potential of graphynes as promising materials for future applications in carbon-based electronics.This paper presents the discovery of graphynes, a class of two-dimensional carbon materials that possess Dirac cones, similar to graphene. Unlike graphene, which has hexagonal symmetry, some graphynes, such as 6,6,12-graphyne, do not have hexagonal symmetry and exhibit distorted Dirac cones with unique electronic properties. The study uses first-principles electronic structure calculations to investigate the electronic properties of three graphynes: α-graphyne, β-graphyne, and 6,6,12-graphyne. The results show that α-graphyne has two Dirac points with properties similar to those of graphene, while β-graphyne has six Dirac points located at different positions in the Brillouin zone. 6,6,12-graphyne, which has rectangular symmetry, exhibits four Dirac points with different electronic properties. The study shows that the presence of Dirac cones is not limited to hexagonal symmetry and that materials with different symmetries can also exhibit Dirac cones. The electronic properties of these materials, including their conductivity, are direction-dependent due to their unique symmetries. The results suggest that many two-dimensional materials, including those not made of carbon, could have Dirac points and thus possess interesting electronic properties. The study highlights the potential of graphynes as promising materials for future applications in carbon-based electronics.