摘要：
Methods and apparatus for a head covering may improve air circulation through any suitable head covering. Methods and apparatus for a head covering may comprise a base configured to fit around a wearer's head, a sidewall comprising a plurality of open cells configured to prevent light rays at or above a predetermined angle relative to the passageway of each cell from passing unobstructed through the cell, and a crown configured to close of the interior surface of the sidewall. The minimum depth of each cell may be determined based on the height of the cell, the angle at or above which the light rays are to obstructed, and the angle of the exterior cell opening. The cells may be arranged in the sidewall such that the lower surface of the passageway of each cell is substantially at the same angle with respect to a horizontal plane.
权利要求：
CLAIMS:
1) A personal head covering device for blocking lights rays from reaching a user's head, comprising:
a base forming a substantially planar closed curve configured to fit around a user's head;
a sidewall extending upward from the base along the entire substantially planar closed curve, wherein the sidewall comprises:
an interior surface;
an exterior surface; and
a plurality of cells extending between the interior and exterior surfaces, wherein:
each cell from the plurality of cells comprises a height and a depth forming an open passageway between the interior and exterior surfaces, wherein:
the height of the cell is the length of a line, perpendicular to a lower track of the passageway, extending from the lower track of the passageway to a top exterior edge of the passageway; and
the depth of the cell is the length of the lower track of the passageway;
the lower track of each passageway in the plurality of cells are at substantially the same angle with respect to a horizontal plane; and the height and depth are configured to prevent light rays having an angle greater than or equal to about 15 degrees relative to the lower track of the passageway from passing unobstructed through the open passageway; and
a crown disposed above an upper edge of the sidewall and configured to close off the interior surface of the sidewall. 2) The personal head covering device of claim 1, wherein for each cell from among the plurality of cells, the minimum depth T of the cell, to prevent a light ray having an angle greater than or equal to a degrees relative to the lower track from passing unobstructed through the open passageway, is given by: ###0001###
where H is the height of the cell and b is the angle of the exterior opening relative to the lower track of the passageway.
3) The personal head covering device of claim 2, wherein the height of each cell from the plurality of cells is substantially the same.
4) The personal head covering device of claim 3, wherein:
the exterior surface of the sidewall is substantially convex relative to the base; and the plurality of cells comprises at least one substantially vertically-collinear cell set, wherein the depth of each cell in the substantially vertically-collinear cell set is greater than the depth of a cell below it.
5) The personal head covering device of claim 1, wherein each cell is in the shape of a hexagon.
6) The personal head covering device of claim 5, wherein the plurality cells forms a honeycomb grid.
7) A personal head covering device for blocking lights rays from reaching a user's head, comprising:
a base forming a substantially planar closed curve configured to fit around a user's head;
a sidewall extending upward from the base along the entire substantially planar closed curve, wherein the sidewall comprises:
an interior surface;
an exterior surface; and
a plurality of substantially vertically-collinear cell sets extending between the interior and exterior surfaces, wherein:
each cell from the plurality of substantially vertically-collinear cell sets comprises a height and a depth forming an open passageway between the interior and exterior surfaces, wherein:
the height of the cell is the length of a line, perpendicular to a lower track of the passageway, extending from the lower track of the passageway to a top exterior edge of the passageway; and
the depth of the cell is the length of the lower track of the passageway;
the lower track of each passageway in a substantially vertically- collinear cell set are substantially parallel to a first line projecting outward from an axis of the sidewall at a first angle to the axis; and the lower track of each passageway in a set of substantially horizontally-collinear cells are substantially parallel to separate lines projecting outward from a same point of the axis at the first angle to the axis.
the height and depth are configured to prevent light rays having an angle greater than or equal to about 15 degrees relative to the lower track of the passageway from passing unobstructed through the open passageway; and a crown disposed above an upper edge of the sidewall and configured to close off the interior surface of the sidewall.
8) The personal head covering device of claim 7, wherein the first angle is 90 degrees.
9) The personal head covering device of claim 7, wherein for each cell from among the plurality of substantially vertically-collinear cell sets, the minimum depth T of the cell, to prevent a light ray having an angle greater than or equal to a degrees relative to the lower track of the passageway from passing unobstructed through the open passageway, is given by: ###0002###
where H is the height of the cell and b is the angle of the exterior opening relative to the lower track of the passageway.
10) The personal head covering device of claim 9, wherein the angle a is in the range between about 25 and about 45 degrees.
11) The personal head covering device of claim 9, wherein the height of each cell from the plurality of substantially vertically-collinear cell sets is substantially the same and wherein each cell from the plurality of substantially vertically-collinear cell sets is configured for substantially the same angle a.
12) The personal head covering device of claim 11, wherein the height of each cell from the plurality of substantially vertically-collinear cell sets is about 5 millimeters.
13) The personal head covering device of claim 11, wherein:
the exterior surface of the sidewall is substantially convex relative to the base;
in at least one of the substantially vertically-collinear cell sets, the depth of each cell is greater than the depth of a cell below it. 14) The personal head covering device of claim 7, wherein each cell is in the shape of a hexagon.
15) The personal head covering device of claim 7, wherein the plurality of substantially vertically-collinear cell sets forms a honeycomb grid.
16) The personal head covering device of claim 7, wherein each cell is in the shape of a rectangle.
17) A method of forming a personal head covering, comprising:
forming a base comprising a substantially planar closed curve configured to fit around a user' s head;
forming a sidewall extending upward from the base along the entire substantially planar closed curve, wherein the sidewall comprises:
an interior surface;
an exterior surface; and
a plurality cells extending between the interior and exterior surfaces, wherein: each cell from the plurality of cells comprises a height and a depth forming an open passageway between the interior and exterior surfaces, wherein:
the height of the cell is the length of a line, perpendicular to a lower track of the passageway, extending from the lower track of the passageway to a top exterior edge of the passageway; and
the depth of the cell is the length of the lower track of the passageway;
the lower track of each passageway in the plurality of cells is at substantially the same angle with respect to a horizontal plane; and the height and depth are configured to prevent light rays having an angle greater than or equal to 15 degrees relative to the lower track of the passageway from passing unobstructed through the open passageway; and
disposing a crown above an upper edge of the sidewall, wherein the crown is configured to close off the interior surface of the sidewall.
18) The method of forming a personal head covering of claim 17, wherein each cell from among the plurality of cells is formed according to the equation: ###0003###
where T is a minimum depth of the cell, having a height H and an angle b of the exterior opening relative to the lower track of the passageway, required to prevent a light ray having an angle greater than or equal to a degrees relative to the lower track of the passageway from passing unobstructed through the open passageway.
19) The method of forming a personal head covering of claim 17, wherein the sidewall is formed by at least one of injection molding and 3D printing.