On a Class of Linear Weingarten Surfaces

@inproceedings{Pulov2018OnAC,
  title={On a Class of Linear Weingarten Surfaces},
  author={Vladimir Pulov and Mariana Ts. Hadzhilazova and Iva{\"i}lo M. Mladenov},
  year={2018}
}
We consider a class of linear Weingarten surfaces of revolution whose principal curvatures, meridional kμ and parallel kπ , satisfy the relation kμ = (n + 1)kπ , n = 0, 1, 2, . . . . The first two members of this class of surfaces are the sphere (n = 0) and the Mylar balloon (n = 1). Elsewhere the Mylar balloon has been parameterized via the Jacobian and Weierstrassian elliptic functions and elliptic integrals. Here we derive six alternative parameterizations describing the third type of… 
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Deformations Without Bending: Explicit Examples
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References

SHOWING 1-3 OF 3 REFERENCES
The Mylar Balloon: An Alternative Description
What Is the Shape of a Mylar Balloon
Mylar balloons of different shapes and sizes have become popular as gifts or in bouquets. The most common balloons are comprised of two circular sheets of mylar, fused together at the circumference.…
On the geometry of the rotating liquid drop