I try to use the following structure to generate the layout described below.
child 1
Flexbox cannot be used to recreate the Masonry layout. Period.
Flexbox is for controlling how elements flow along either a horizontal row (flex-direction: row, which is the default) or vertical column (flex-direction: column). That means you can only eliminate excess space in one direction: left/right (row) or top/bottom (column). Because flex-direction: column requires an explicit height to enable wrapping, it is entirely unsuitable for this purpose.
The CSS Multi-column Layout Module is the closest you can get to recreating a Masonry layout using pure CSS, but it still only allows you to eliminate excess space between the elements in one direction: vertically. The key difference between this and Flexbox (using the column direction) is that the Multi-Column module does not require an explicit height and will distribute the contents equally between each of the columns as best it can (this can be controlled via the column-fill property). The gap between the columns is controlled by the column-gap property.
http://codepen.io/cimmanon/pen/CcGlE
.my-element {
-moz-columns: 15em;
-webkit-columns: 15em;
columns: 15em;
}