Chamaesyce

Chamaesyce is a subgenus (formerly considered a genus) of plants in the family Euphorbiaceae.

Recent phylogenetic studies have shown that Chamaesyce is deeply nested within the broader Euphorbia.

[2] Other characteristics include sympodial branching,[4] dorsi-ventral stems, asymmetric leaves, non-glandular stipules, and ecarunculate seeds.

In fact, the structure is a cyathium (sometimes called a pseudanthium, meaning a "false flower").

That stalk joins the capitulum or base of the inflorescence — the flowering head.

Euphorbia albomarginata , the whitemargin sandmat, is a species with showy bracts, an adaptation to a semiarid region with competition for pollinators.
Cyathium of flowering Euphorbia celastroides
Euphorbia hypericifolia flowers and young fruit