What does Vedika mean?
From the Sanskrit वेदिका (vedikā), 'a sacrificial altar, raised platform', and in architecture the railing enclosing a sacred space. The popular 'knowledgeable woman' gloss (via veda, 'knowledge') is a folk etymology, not the dictionary sense.
What does Riddhi mean?
From the Sanskrit ऋद्धि (ṛddhi), 'prosperity, success, abundance, good fortune'. In one Puranic tradition Riddhi is a consort of Ganesha (paired with Siddhi), though Ganesha's marital status varies across texts.