Goursat曲面[Goursat's Surface] - 达人(其实～我是卧底，来自外星)

2005/02/20 | Goursat曲面[Goursat's Surface]
类别(∑〖数学〗) | 评论(0) | 阅读(47) | 发表于 14:50: <APPLET CODE="http://mathworld.wolfram.com/Live.class" CODEBASE="live" ARCHIVE="http://mathworld.wolfram.com/live.jar" ALIGN=MIDDLE WIDTH=200 HEIGHT=200 ALT="Goursat's surface"> <PARAM NAME="input_file" VALUE="http://mathworld.wolfram.com/goursurf.m"> <PARAM NAME="input_archive" VALUE="http://mathworld.wolfram.com/zip/goursurf.zip">
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A general quartic surface defined by

(Gray 1997, p. 314). The above two images correspond to , c = -1, and a = 0, b = -2, c = -1, respectively.
The related surface

for an even integer is considered by Gray (1997, p. 292), and might appropriately be called a superellipsoid.; 0