Periorbital cellulitis: This is a common condition that can cause swelling around the eyes, and the asymmetrical presentation could be due to the spread of infection from one area to another or differences in lymphatic drainage.

Allergic reactions: Allergies can cause swelling around the eyes, and the pattern described could be due to an allergic reaction to a specific substance that came into contact with those areas.
Trauma: Blunt trauma to the face can cause swelling above or below the eyes, depending on the site and severity of the injury.
Dermatological conditions: Conditions like contact dermatitis, eczema, or acne can cause localized swelling and inflammation around the eyes.

Cavernous sinus thrombosis: Although rare, this condition is life-threatening and can present with periorbital swelling, especially if there's an underlying infection. Prompt diagnosis and treatment are crucial.
Orbital abscess: An abscess within the orbit can cause swelling and protrusion of the eye (proptosis) and requires urgent medical attention to prevent serious complications.
Basal cell or squamous cell carcinoma: While less common, certain types of skin cancer can present as swelling or lesions around the eyes, and early detection is key for effective treatment.

Wegener's granulomatosis (Granulomatosis with Polyangiitis): A rare autoimmune disorder that can cause a variety of symptoms, including swelling around the eyes due to granulomatous inflammation.
Sarcoidosis: This condition can cause granulomatous inflammation in various parts of the body, including the skin around the eyes, leading to swelling.
Neurofibromatosis type 1 (NF1): A genetic disorder that can cause neurofibromas to develop in various locations, including around the eyes, leading to swelling or bulging of the eye.