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The Collaborative International Dictionary
Stalagmitically

Stalagmitic \Stal`ag*mit"ic\ (st[a^]l`[a^]g*m[i^]t"[i^]k), Stalagmitical \Stal`ag*mit"ic*al\ (-m[i^]t"[i^]*kal), a. Having the form or structure of stalagmites. -- Stal`ag*mit"ic*al*ly, adv.

Wiktionary
stalagmitically

adv. Like a stalagmite; accumulate from floor to ceiling.