  Ivanov introduced the shape of a Majorana algebra as a record of the
$2$-generated subalgebras arising in that algebra. As a broad generalisation of
this concept and to free it from the ambient algebra, we introduce the concept
of an axet and shapes on an axet. A shape can be viewed as an algebra version
of a group amalgam. Just like an amalgam, a shape leads to a unique algebra
completion which may be non-trivial or it may collapse. Then for a natural
family of shapes of generalised Monster type we classify all completion
algebras and discover that a great majority of them collapse, confirming the
observations made in an earlier paper.
