Elliptical dome

Source: Wikipedia, the free encyclopedia.
An elliptical dome at the San Domenico, Modena, in Modena, Italy

An elliptical dome, or an oval dome, is a dome whose bottom cross-section takes the form of an ellipse.[1] Technically, an ellipsoidal dome has a circular cross-section, so is not quite the same.

While the

geometries, when the ceiling's cross-section takes the form of an ellipse, and due to the reflecting properties of an ellipse, any two persons standing at a focus of the floor's ellipse can have one whisper, and the other hears; this is a whispering gallery
.

The largest elliptical dome in the world is at the Sanctuary of Vicoforte in Vicoforte, Italy.[2][3][4]

In architecture

y-axis

Elliptical domes have many applications in

mathematical description of an elliptical dome is more complex than that of spherical dome, design care is needed.[5]

In a

pentagons to form a dome with a cross section that is elliptical. Due to its mathematical derivation, this design is called "geotangent".[6]

World examples

Elliptical domes come up in the design of all of the following:

See also

References

  1. ^ Arun, G (2006). "Behaviour of Masonry Vaults and Domes: Geometrical Considerations" (PDF). Structural Analysis of Historical Constructions, New Delhi. Archived from the original (PDF) on 2020-10-23. Retrieved 2020-12-04.
  2. ^ "Visiting the largest elliptical dome in the world, in Vicoforte". ItalyRiveirAlps. 25 April 2016. Retrieved 2020-12-04.
  3. S2CID 109078429
    .
  4. ^ Aoki, Takayoshi. "Structural characteristics of the elliptical masonrydome of the sanctuary of Vicoforte".
  5. ^
    S2CID 119996869
    .
  6. ^ "Polyhedral structures that approximate an ellipsoid".
  7. ^ "The Engineering Behind Saint Peter's Basilica".
  8. ^ Kobielak, Sylwester (November 27, 2016). "Oval concrete domes".

External links and references

Creating elliptical domes

Calculations

More general references