Segmented geometric structure

A method for constructing a spheroid segmented geometric structure having four curvilinear segments where said method comprises the following

• (a) select a construction spheroid form having the desired diameter,
• (b) place a mark on said spheroid forms north pole, south pole and draw a reference equator line around said diameter of said form,
• (c) mark the surface of said form with a modified geodesic coordinate system where:
• (1) longitude is numbered from 0 to 360-degrees around said equator line:
• east to west in northern hemisphere and west to east in southern hemisphere,
• (2) latitude is numbered from 0 to 90-degrees where 0-degrees is located on said equator line and 90-degrees is located at said north and south poles of upper and lower hemisphere respectively,
• (d) determine the number of spirals each of said segments is to make and select a set of mathematical equations corresponding to the number of spirals--in this construction each said segment will make one complete spiral as it rotates from said north pole to said south pole which corresponds to the following set of mathematical equations:
• (1) longitude=2.times.latitude
• (2) longitude=2.times.latitude+90-degrees
• (3) longitude=2.times.latitude+180-degrees
• (4) longitude=2.times.latitude+270-degrees
• (e) mark surface of said spheroid from with a series of points derived from the set of mathematical equations,
• (f) attach to said spheroid form by a permanent means, a segment guide having an edge that lies perpendicular to the spheroid surface and is fitted alongside the series of points corresponding to the shape of said curvilinear segment,
• (g) select a length of segment material,
• (h) conventionally attach one end of said segment material to the north pole of said spheroid
• (i) bend said segment material around said spheroid form using the edge of said segment guide to guide the segment material around said spheroid form,
• (j) cut the segment material when the south pole on said spheroid form is reached and remove said segment material from said spheroid form,
• (k) repeat steps g, h, i, and j three additional times to obtain a total of four said curvilinear segments,
• (l) place each of said four segments on a collapsible fixture that has the means to space each of said segments equally,
• (m) after the four said segments are in place permanently join each of said four segments at their north and south poles respectively,
• (n) collapse said collapsible fixture and remove same from the completed segmented structure.

A method for constructing a segmented geometric structure having a spheroid shape and four curvilinear segments where said method comprises the following steps:

• (a) secure a concave mold in the shape of a spheroid hemisphere where said mold has a set of channels on its inner surface corresponding to the required shape and quantity of curvilinear segments that would be included on either an upper or lower hemisphere of said segmented geometric structure and with said concave mold having one or more pouring bores that are in optimum pouring placement with respect to said channels,
• (b) secure a convex mold that is sized to precisely fit into and abutt with the inner surface of said concave mold,
• (c) place and align said concave mold over said convex mold,
• (d) pour into said pouring bores on said concave mold a liquified segment material,
• (e) when said liquid segment material has hardened separate said molds and remove the hardened said structure which constitutes one-half of a completed segmented geometric structure,
• (f) repeat steps c, d, and e, and
• (g) join said two halves, by conventional means, to form a completed single said segmented geometric structure.