id: 06428012
dt: j
an: 2015d.00651
au: Northshield, Sam
ti: Complex Descartes circle theorem.
so: Am. Math. Mon. 121, No. 10, 927-931 (2014).
py: 2014
pu: Mathematical Association of America (MAA), Washington, DC
la: EN
cc: G75
ut: Descartes circle theorem; octahedral configuration of spheres; spheres
ci:
li: doi:10.4169/amer.math.monthly.121.10.927
ab: Summary: We present a short proof of the Descartes circle theorem on the
“curvature-centers” of four mutually tangent circles. Key to the
proof is associating an octahedral configuration of spheres to four
mutually tangent circles. We also prove an analog for spheres.
rv: