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London The Gherkin: plot volume of revolution in 3d

Bob H

Posted 10 years ago

Hello, I am new here not sure how to plot this x=?2.211610^(?15)y^(8)+1.360310^(?12)y^(7)-3.4289910^(?10)y^(6)+4.5686110^(?8)y^(5)-3.4506510^(?6)y^(4)+1.3934710^?4y^(3)-0.00284795y^(2)+0.0911615y+24.5 t hen rotate it around by 360 or 2 pi to form a 3d object. May someone please help me graph this, it has a upper bound of 179.8 and lower bound of 0. This is supposed to form the famous building The Gherkin. Thanks in advance. I have tried a few times but didn't work properly.

POSTED BY: Bob H

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Henrik Schachner

Henrik Schachner, Radiation Therapy Center, Weilheim, Germany

Posted 10 years ago

Hi Bob, it took me a while, but now I found it! Have you seen this wolfram blog contribution on twisted architecture? It might be exactly what you are looking for. Henrik

POSTED BY: Henrik Schachner

Hans Milton

Posted 10 years ago

gherkinOutline[y_] := \[Minus]2.2116 10^-15 y^8 + 1.3603 10^-12 y^7 - 3.42899 10^-10 y^6 + 4.56861 10^-8 y^5 - 3.45065 10^-6 y^4 + 1.39347 10^-4 y^3 - 0.00284795 y^2 + 0.0911615 y + 24.5 RevolutionPlot3D[{gherkinOutline[t], t, 0}, {t, 0, 179.8}, RevolutionAxis -> {0, 1, 0}] Check also this: http://blog.wolfram.com/2009/09/11/twisted-architecture/

gherkinOutline[y_] := \[Minus]2.2116 10^-15 y^8 + 1.3603 10^-12 y^7 - 
      3.42899 10^-10 y^6 + 4.56861 10^-8 y^5 - 3.45065 10^-6 y^4 + 
      1.39347 10^-4 y^3 - 0.00284795 y^2 + 0.0911615 y + 24.5

RevolutionPlot3D[{gherkinOutline[t], t, 0}, {t, 0, 179.8}, 
 RevolutionAxis -> {0, 1, 0}]

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