On this page, you will find models of three dimensional shells and horns, which have been done by coiling a Bézier curve around a helicospiral, as described on the Spirals patterns in shells and horns page. Using Mathematica gives us a mathematical model of the shell, but in order to obtain a good graphical result, we have exported the shell in an a 3D program, 3DStudio Max. The following pictures are the result of this procedure. Click on them to enlarge.
![](javascript:popupcentree("<?php print($root_dir); ?>/img/astele.jpg",1024,768,"menubar=no,scrollbars=no,statusbar=no"))
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![](javascript:popupcentree("<?php print($root_dir); ?>/img/kuduhorn.jpg",1024,768,"menubar=no,scrollbars=no,statusbar=no"))
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![](javascript:popupcentree("<?php print($root_dir); ?>/img/epitonium.jpg",1024,768,"menubar=no,scrollbars=no,statusbar=no"))
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![](javascript:popupcentree("<?php print($root_dir); ?>/img/penion.jpg",1024,768,"menubar=no,scrollbars=no,statusbar=no"))
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| Astele Armillatum | Greater Kudu Horns | Epitonium Scalare | Penion Mandarinus |
![](javascript:popupcentree("<?php print($root_dir); ?>/img/thatcheria.jpg",1024,768,"menubar=no,scrollbars=no,statusbar=no"))
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![](javascript:popupcentree("<?php print($root_dir); ?>/img/ficus.jpg",1024,768,"menubar=no,scrollbars=no,statusbar=no"))
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![](javascript:popupcentree("<?php print($root_dir); ?>/img/nautilus3d.jpg",1024,768,"menubar=no,scrollbars=no,statusbar=no"))
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![](javascript:popupcentree("<?php print($root_dir); ?>/img/sheephorn.jpg",1024,768,"menubar=no,scrollbars=no,statusbar=no"))
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| Thatcheria Mirabilis | Ficus Filosa | Nautilus Pompilus | Wild Sheep Horns |
In the following applet, you can choose a shell and use the mouse to move it in 3D.
These mathematica applets will download some source files which can have a size of 2MB. Thus it could take some time before the shells is displayed.