INSTITUTE OF APPLIED MATHEMATICS (IMA)

TRANSFORMATION OF A TWO-DIMENSIONAL SPACE A SPACE OF THREE

By Emil Núñez Rojas3On 6 points drawn on paper 4 triangles can be drawn without repeating a line. These 6 points equals 6 edges of a tetrahedron and 4 vertices thereof in a three dimensional space.

Over 12 points drawn on paper can be traced 8 square without repeating a line. These 12 points are equivalent to 12 edges of a cube and the 8 vertices of the same.

About 30 points drawn on paper 20 pentagons can be drawn without repeating a line. These 30 points are equivalent to a 30

INSTITUTE OF APPLIED MATHEMATICS (IMA)

edges and 20 vertices pentahedron it.

On infinite points are infinite relations. This is equivalent to a sphere with infinite vertices. Within it can be drawn as a man of Vitruvius. Only within a sphere so man can rotate their limbs and has therefore has more freedom.

Finally, the equation of the relationship between ratio of points on a plane and solid figures would be as follows:

Where n = 1 is the ratio of a triangle (= 3lados), n = 2 the ratio of a square (sides = 4), n = 3 the ratio of a pentagon (= 5-sided), n = 4 the ratio of a hexagon (= 6 sides), etc.

INSTITUTE OF APPLIED MATHEMATICS (IMA)

The sequence of the solids in your order brings us to the relationship of the points with a solid sphere according to the formula.

The formula and the theory contained in this paper is a discovery of Emil Núñez Rojas and are located in the School of Art Book: Methods to be original. Lima 2012. Perú.

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face book: Emil Francisco Núñez Rojas

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