\magnification=1200
\hsize=4in
\overfullrule=0pt
\input amssym
%\def\frac#1 #2 {{#1\over #2}}
\def\emph#1{{\it #1}}
\def\em{\it}
\nopagenumbers
\noindent
%
%
{\bf Catarina P. Avelino and Altino F. Santos}
%
%
\medskip
\noindent
%
%
{\bf Spherical f-Tilings by Scalene Triangles and Isosceles Trapezoids III}
%
%
\vskip 5mm
\noindent
%
%
%
%
The study of the dihedral f-tilings of the sphere $S^2$ whose
prototiles are a scalene triangle and an isosceles trapezoid was
initiated in parts I and II.  In this paper we complete this
classification presenting the study of all dihedral spherical
f-tilings by scalene triangles and isosceles trapezoids in the
remaining case of adjacency. A list containing all the f-tilings
obtained in this paper is presented. It is composed by isolated
tilings as well as discrete and continuous families of tilings. The
combinatorial structure is also achieved.

\bye

.