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Prodigi

Area of Spherical Zones Framed & Mounted Print

Area of Spherical Zones Framed & Mounted Print

Regular price $53.99 USD
Regular price Sale price $53.99 USD
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Slice an orange by equally-spaced parallel planes. Which pieces have more zest, those near the middle, those near the ends, or something else? It turns out (in the mathematical abstraction) they all have exactly the same amount!

Mathematically, a zone on a sphere (the region between two parallel planes) has the same area as the cylindrical band on the circumscribed cylinder whose axis is perpendicular to the cutting planes. This theorem, known to Archimedes, has modern generalizations related to "symplectic geometry" and "moment maps." It also points to a beautiful parametrization of a surface of rotation, using as parameter not the distance along the axis or the arc length along the surface, but the zonal area.

Handmade in the UK by specialist picture framers using premium fine art paper with a gently textured surface and satin finish, high-quality wood, and an FSC certified off-white mat. Delivered ready for hanging.

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