universally / on all sides
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universally
By everyone or among everyone; generally. Expresses that something is widely known, widespread, or recognized.
Die neue Lehrerin ist bei Schülern und Kollegen allseits beliebt.
The new teacher is universally popular with students and colleagues.
on all sides
In a spatial sense: on all sides, from all sides; all around.
Das abgelegene Haus war allseits von dichtem Wald umgeben.
The remote house was surrounded on all sides by dense forest.
The adverb 'allseits' (universally / on all sides) is made up of 'all' (all) and the ending '-seits' (on the side of). You can recognize in it the structure that also appears in words like 'einerseits' (on the one hand) or 'beiderseits' (on both sides).
Die Entscheidung wurde allseits begrüßt.
The decision was universally welcomed.
'Allseits' (universally / on all sides) belongs more to written or formal language. It is used less often in everyday conversation.
Der Professor war für seine Forschungen allseits bekannt und geachtet.
The professor was universally known and respected for his research.
You can recognize the figurative meaning ('bei allen' — among everyone) from verbs or adjectives that express an opinion, e.g. beliebt (popular), bekannt (known). You can recognize the spatial meaning ('von allen Seiten' — from all sides) from words that describe a position in space, e.g. umgeben (surrounded), Wald (forest).
Ihre Hilfsbereitschaft ist allseits bekannt.
Her helpfulness is universally known.
In the meaning 'bei allen' (among everyone), 'allseits' (universally) is often combined with adjectives such as 'beliebt' (popular), 'bekannt' (known), 'geachtet' (esteemed), or 'respektiert' (respected).
Der scheidende Direktor war bei den Mitarbeitern allseits respektiert.
The outgoing director was universally respected by the employees.
everyone / from all sides
Allseits and allerseits can both express that something comes from everyone or applies to everyone. Allseits is especially used in expressions such as „allseits bekannt“ (universally known) or „allseits anerkannt“ (universally recognized). Allerseits tends to emphasize reactions from all directions and sounds more formal in this sense.
Der neue Plan ist im Verein allseits anerkannt.
The new plan is universally accepted throughout the club.
Der neue Plan erhielt im Verein allerseits Zustimmung.
The new plan received support from all sides within the club.
