
regelmäßig
regularly
Happening or recurring at consistent intervals of time.
Er geht regelmäßig zum Sport.
He goes to the gym regularly.
regular
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regularly
Happening or recurring at consistent intervals of time.
Er geht regelmäßig zum Sport.
He goes to the gym regularly.

regular
Following a rule or pattern; shaped evenly and without major deviations.
Das Muster besteht aus regelmäßigen Sechsecken.
The pattern consists of regular hexagons.
The word is made up of 'Regel' (rule) and the ending '-mäßig' (-like / according to). So it literally means 'according to a rule' or 'in accordance with a rule'. This origin explains both meanings: something that happens according to a fixed time rule, and something that follows a rule of form.
Die Kacheln an der Wand bilden ein regelmäßiges Muster.
The tiles on the wall form a regular pattern.
'Regelmäßig' (regular / regularly) can stand before a noun as an adjective or describe a verb as an adverb. As an adverb, the form remains unchanged.
Ein regelmäßiges Training ist wichtig für die Gesundheit.
Regular exercise is important for health.
In the time-related meaning, 'regelmäßig' (regularly) is often combined with activities. Typical phrases are 'regelmäßig Sport treiben' (to exercise regularly), 'sich regelmäßig treffen' (to meet regularly), or 'etwas regelmäßig überprüfen' (to check something regularly).
Wir treffen uns regelmäßig zum Kaffeetrinken.
We meet regularly for coffee.
When it is about shapes, patterns, or structures, 'regelmäßig' (regular) means even or symmetrical. You often find it in descriptions of geometry, art, or even biological processes.
Das Spinnennetz hatte eine fast perfekte, regelmäßige Struktur.
The spiderweb had an almost perfect, regular structure.
often
Both oft and regelmäßig describe recurring actions. Oft primarily emphasizes the high number of occurrences, while regelmäßig additionally suggests a consistent pattern or fixed intervals. Use oft for many occasions, and regelmäßig when the recurrence is predictable or even.

Ich gehe regelmäßig jeden Sonntag im Park spazieren.
I go for a walk in the park every Sunday.
Ich gehe oft im Park spazieren, wenn ich Zeit habe.
I often go for walks in the park when I have time.