Definition:Plastic Constant
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Definition
The plastic constant is the real root of the cubic:
- $x^3 - x - 1 = 0$
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Its value is approximately:
- $P = 1 \cdotp 32471 \, 795 \ldots$
This sequence is A060006 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).
Also known as
The plastic constant is also known as:
- the plastic number
- the plastic ratio
- the minimal Pisot number
- the platin number
- the silver number (not recommended as there is another constant with that name)
- Siegel's number (for Carl Ludwig Siegel)
- le nombre radiant (French for the radiant number).
Some sources identify it with the symbol $\rho$.
Also see
Sources
- Piezas, Tito III, van Lamoen, Floor and Weisstein, Eric W. "Plastic Constant." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PlasticConstant.html