Geodesic tire and method of manufacture

A method of making a tire comprising the steps of

• providing a torus shaped core having a first side for forming a first sidewall, a second side for forming a second sidewall, and an outer circumferential surface between said first side and said second side for forming a crown portion;
• said first and second sidewall each having a radially innermost ring for forming the bead area of the tire;
• determining a three dimensional data points (X,Y,Ψ) of the outer surface of the core;
• forming a first layer of ply by winding a strip of one or more cords onto the core by selecting a first point tangent to the radially innermost ring on a first side of the core;
• determining a second point tangent to the radially innermost ring at the second side of the core;
• determining a minimal path from said first point to said second point and laying the cord on said minimal path;
• determining a third point tangent to the bead at the first side of the core,
• determining the minimal path from said second point to said third point and laying the cord on said minimal path;
• and
• determining an Ith point tangent to the bead, determining the minimal path from an I−1 point to a Ith point and laying the cord on said minimal path, for N iterations, wherein an angle β of the ply is strictly greater than 90 degrees, and wherein for at least one revolution of the ply around the core, a radius of the ply is adjusted plus or minus delta.