Design an interior kitchen inside a natural ice cave structure in Antarctica, utilizing the ice as the primary material for walls, floors, and ceiling. The kitchen should feature a modern sink, a stovetop with a sleek range hood, and a refrigerator that integrates smoothly into the icy environment. Include a stylish bar counter that serves as a divider between the kitchen and the living room. Incorporate both open and closed upper cabinets, with open shelves displaying kitchen items like glasses and products, while the closed cabinets offer hidden storage. Preserve the natural icy textures and translucency, allowing light to reflect off the surfaces, enhancing the cool, serene atmosphere. The kitchen layout should feel highly functional, with minimalist, modern elements that contrast yet complement the surrounding ice, ensuring a balance between contemporary kitchen design and the raw beauty of the ice cave.