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The thriving area of synthetic carbon allotropes witnesses theoreticproposals and experimental syntheses of many new two-dimensional ultrathinstructures, which are often achieved by careful arrangement of non-hexagon$\mathrm{sp^2}$ defects in graphene. Here, we introduce pyramid $\mathrm{sp^3}$hybridization into $\mathrm{sp^2}$ network and propose a new carbon polymorphwith clathrate pattern and with minimum egg-tray shape (termed as clathrategraphene). Eight symmetrically equivalent $\mathrm{sp^2}$ carbon atoms and twosymmetrically equivalent $\mathrm{sp^2}$ carbon atoms in its tetragonalprimitive unit cell form two perpendicularly oriented rectangles and fourbridging hexagons. Though deformed bond lengths and bond angles, the planargeometry of both tetrarings and hexagons are retained. High percentage andsmall deformation of hexagons make this metastable$\mathrm{sp^2}$-$\mathrm{sp^3}$ allotrope comparable with pure $\mathrm{sp^2}$$T$-graphene and penta-graphene in energetics. Exhaustive \textit{ab initio}calculations confirm its dynamical and elastic stabilities, reveal itssemiconducting nature with an indirect band gap of 0.90 eV for unstressedsample, and suggest a giant strain tuning effect which endows versatileelectronic properties ranging from metallic to semiconducting. Furthermore, weobserve multiple von Hove singularities near the Fermi energy.These salientproperties may imply potential nanoelectronic applications. These findings helpunderstand structure-property relationship for two-dimensional carbonallotropes, and help search new carbon polymorphs.

2D clathrate graphene in minimum egg-tray-shape: An \textit{ab initio} study