
06513095
j
2016a.00594
Smeltzer, Deirdre L.
Byer, Owen D.
Mutually tangent spheres in $n$space.
Math. Mag. 88, No. 2, 146150 (2015).
2015
Mathematical Association of America (MAA), Washington, DC
EN
G40
points of tangency
mutually tangent spheres
doi:10.4169/math.mag.88.2.146
Summary: In this note we prove that the points of tangency of $n + 1$ mutually tangent spheres in $n$dimensional space lie on a generalized sphere. Coxeter's observation that for each of five mutually tangent spheres there is a sphere passing through the six points of mutual contact of the remaining four is a corollary of this result in the $n = 3$ case.