Geodesic
Spire-Polyhedra
Journal for geometry and graphics, Tome 11 (2007) no. 1, pp. 111-126 Cet article a éte moissonné depuis la source Heldermann Verlag

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The shapes of the spires of Western European medieval churches show almost as high variability as their interiors, but while inside -- after the first Millennium -- the builders began to use curved surfaces (i.e., vaults), the spires mostly kept their polyhedral (or conical) shapes. Architecture -- due to its necessities and restrictions -- used only a limited portion of the infinite set of potentially possible polyhedral shapes -- such a small subset, that it seems conceivable to categorise them, or at least most of them. This paper suggests a method of classification of spire shapes, postulating that the more complex forms can be produced as compounds (either intersections or unions) of some basic shapes.
Classification : 51N05
Mots-clés : Spire, geometry, classification of spire shapes 
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     author = {L. Strommer },
     title = {Spire-Polyhedra},
     journal = {Journal for geometry and graphics},
     pages = {111--126},
     year = {2007},
     volume = {11},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JGG_2007_11_1_JGG_2007_11_1_a10/}
}
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L. Strommer . Spire-Polyhedra. Journal for geometry and graphics, Tome 11 (2007) no. 1, pp. 111-126. http://geodesic.mathdoc.fr/item/JGG_2007_11_1_JGG_2007_11_1_a10/