In a mixing bowl, combine the ground beef with salt and black pepper, mixing gently until evenly seasoned.
Divide the seasoned beef into four equal portions, then gently shape each into an irregular, slightly flattened patty, leaving some rough edges for a chaotic look.
Preheat your grill or skillet over medium-high heat until hot. Place the patties on the grill, cooking for about 4-5 minutes per side until browned and cooked through.
While the burgers cook, grate slices of cheese and cut small shapes from the cucumber and bell pepper to create eyes, horns, and hair details.
Once the patties are cooked, top each with a slice of cheddar cheese to melt slightly during the last minute of cooking.
Remove the burgers from the grill and let them rest for a minute. Carefully cut or shape the cheese into pointed horns or wild hair, then attach them to the patties with small dollops of melted cheese or toothpicks (optional).
Assemble the chaos by placing the burger patties on buns or lettuce leaves, then add cucumber eyes and bell pepper horns to complete the wild look.
Finish with a dollop of sauce or additional toppings if desired, then serve immediately to enjoy the playful, textured chaos of the burgers.
