Apparatus with fastenerless connection between components and assembly method thereof

A mask with interconnectable components, the mask comprising:

• a first piece including a male connection portion including:
• a perimeter connection wall defining a non-circular, closed-geometric shape, and
• one or more grooves extending along a least a portion of an outer side of the perimeter connection wall, the one or more grooves being recessed from an edge surface of the perimeter connection wall;
• and
• a second piece interconnectable with the first piece, the second piece including a female connection portion including:
• a capture wall defining a shape within which the perimeter connection wall of the first piece fits in a first orientation and a second orientation, the first orientation being an unlocked state, and the second orientation being a locked state, which is attained via a rotational twist action of the first piece with respect to the second piece after the first piece is fitted in the first orientation, and
• one or more protrusions protruding inwardly from the capture wall, the one or more protrusions sized to engage the one or more grooves of the connection wall of the first piece when the perimeter connection wall is oriented in the second orientation within the capture wall,
• wherein the shape of the perimeter connection wall includes a vertex position at each angle between adjacent sides of three or more sides of the perimeter connection wall, whereby the connection wall includes at least a first vertex position, a second vertex position, and a third vertex position.