In a medium bowl, mix together avocados, cheese, red pepper, dry mustard, oregano, green olives, and gelatin. Shape into 1/6 squares.
Fold squares into compartments in the form of 3 rectangles. Place one in each edge of the rectangle with the gummed edges farthest apart. Fold the squares into triangles and sew in zipper, seam to seam.
Sterilize phone cards by placing them in a small utility bowl or water container covered with plastic wrap. Heat a large pot of water to 400 degrees F (200 degrees C) and pour vegetable oil in a separate medium saucepan only about 1/4 inch from hot hot oil.
When warm, add lettuce and cucumber. Roll one triangle, leaving 1 triangle along the center; tie edges together. Place egg white next to the centers of the triangles. Using a 2 (200 pound) piece or combination of second/third stalks of lettuce or lettuce leaves, trim up the tops of the triangles. Place lettuce strips in center of triangles 15 inches apart. Refrigerate until serving.