Method and apparatus for constructing pyramid

Claim 1

A method for forming a pyramid having four triangular faces of equal area, comprising the steps of (a) forming fold lines on a circular piece of material having a circular front surface and a circular back surface, said fold lines being formed on at least one of said surfaces and including (i) six chord lines defining a first and a second equilateral triangle, the apexes of each of said triangles lying along the circumference of said circular face and each side of said first triangle being parallel to one side of said second triangle, (ii) three diameter lines each traversing and passing through the center point of said surface and through a pair of the points at which said chord lines forming said triangles intersect, and (iii) a fourth diameter line traversing and passing through said center point of said surface and intersecting a pair of said apexes of said triangles at the circumference of said surface, said fold lines defining a plurality of secondary equilateral triangles on said surface smaller than said first and second equilateral triangles, including a group of six secondary equilateral triangles of equal size forming a hexagon in the center of said surface, one apex of each of said six triangles lying at the center point of said surface, and a mirror image pair of said six triangles being bisected by said fourth diameter line, the remaining four of said six triangles being free of fold lines traversing the area thereof, (b) sequentially folding said piece of material along said fold lines to form a pyramid, the four faces of said pyramid each corresponding to one of said four secondary triangles free of fold lines traversing the area thereof.

Claim 2

A method for forming a pyramid having four triangular faces of equal area, comprising the steps of (a) forming fold lines on a circular piece of material having a circular front surface and a circular back surface, said fold lines being formed on at least one of said surfaces and including (i) six chord lines defining a first and a second equilateral triangle, the apexes of each of said triangles lying along the circumference of said circular face and each side of said first triangle being parallel to one side of said second triangle, (ii) three diameter lines each traversing and passing through the center point of said surface and through a pair of the points at which said chord lines forming said triangles intersect, and (iii) a fourth diameter line traversing and passing through said center point of said surface and intersecting a pair of said apexes of said triangles at the circumference of said surface, said fold lines defining a plurality of secondary equilateral triangles on said surface smaller than said first and second equilateral triangles, including a group of six secondary equilateral triangles of equal size forming a hexagon in the center of said surface, one apex of each of said six triangles lying at the center point of said surface, and a mirror image pair of said six triangles being bisected by said fourth diameter line, the remaining four of said six triangles being free of fold lines traversing the area thereof, (b) sequentially folding said piece of material along said fold lines to form a pyramid, the four faces of said pyramid each corresponding to one of said four secondary triangles free of fold lines traversing the area thereof.