Plastic ratio

In mathematics, the plastic ratio is a geometrical proportion close to 53/40. Its true value is the real solution of the equation x3 = x + 1.

Plastic ratio
Triangles with sides in ratio ρ form a closed spiral
Rationalityirrational algebraic
Symbolρ
Representations
Decimal1.3247179572447460259609088...
Algebraic formreal root of x3 = x + 1
Continued fraction (linear)[1;3,12,1,1,3,2,3,2,4,2,141,80,...]
not periodic
infinite

The adjective plastic does not refer to the artificial material, but to the formative and sculptural qualities of this ratio, as in plastic arts.

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