
06513065
j
2016a.00827
Coll, Vincent E. jun.
Harrison, Michael
Gabriel's Horn: a revolutionary tale.
Math. Mag. 87, No. 4, 263275 (2014).
2014
Mathematical Association of America (MAA), Washington, DC
EN
I60
G90
Gabriel's horn
surfaces of revolution
doi:10.4169/math.mag.87.4.263
Summary: We generalize hypersurfaces of revolution by allowing the profile curve to be dependent on more than one variable. We call these more general objects spherical arrays and we use them to introduce the reader to volume calculations, which are normally reserved for a more advanced course in differential geometry. The rich symmetry of the spherical arrays allow us to build objects with properties reminiscent of those for which Gabriel's Horn became a {\it cause c\'el\`ebre}.