Abstract: A head covering apparatus may include a crown portion. A head covering apparatus may include a brim portion. A head covering apparatus may include a bottom edge. A head covering apparatus may include a channel integrated into the crown portion and configured to receive the decorative headband device, wherein the channel comprises a top opening having a top width and a bottom opening having a bottom width, wherein the channel is vertically oriented with respect to the bottom edge of the head covering apparatus such that at least one of the top opening or the bottom opening are substantially horizontally oriented.

Abstract: A mechanism that relies on round magnets (or an alternative modification that imitates round magnets) and their property that when magnetically attached tangentally and parallel to their axis of symmetry they have the tendency to counter-rotate rotate freely when their structural containment is tilted or turned or either magnet is moved, and that they resist twisting on their respective axes such that when an Inner Magnet is arranged so that its rotational circumference is less than an Outer Magnet, and Mechanical Force is applied to either the Outer Magnet or the Inner Magnet, the system exhibits the inverted gyroscopic effect when the apparatus implements one or more features of Mechanical Give is disclosed.

Abstract: A mechanism that relies on round magnets (or an alternative modification that imitates round magnets) and their property that when magnetically attached tangentally and parallel to their axis of symmetry they have the tendency to counter-rotate rotate freely when their structural containment is tilted or turned or either magnet is moved, and that they resist twisting on their respective axes such that when an Inner Magnet is arranged so that its rotational circumference is less than an Outer Magnet, and Mechanical Force is applied to either the Outer Magnet or the Inner Magnet, the system exhibits the inverted gyroscopic effect when the apparatus implements one or more features of Mechanical Give is disclosed.

Abstract: A propulsion mechanism that relies on magnets and the geometric property of a hole in a magnet in the direction of the polarity that always involves the addition of a directional component in the magnetic field. This additional direction component is benign in terms of pure geometry and non-ferrous materials without an interacting field of force, but when such a hole involves two or more magnets, the magnet not fixed experiences a net thrust away from the other.

Abstract: A propulsion mechanism that relies on magnets and the geometric property of a hole in a magnet in the direction of the polarity that always involves the addition of a directional component in the magnetic field. This additional direction component is benign in terms of pure geometry and non-ferrous materials without an interacting field of force, but when such a hole involves two or more magnets, the magnet not fixed experiences a net thrust away from the other.