
das Muster
pattern
A repeating arrangement of lines, shapes, or colors on a surface, for example on fabric, paper, or tiles.
Das Hemd hat ein kariertes Muster.
The shirt has a checked pattern.
pattern / sample
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pattern
A repeating arrangement of lines, shapes, or colors on a surface, for example on fabric, paper, or tiles.
Das Hemd hat ein kariertes Muster.
The shirt has a checked pattern.

sample
A small specimen or sample of something that shows the quality or nature of the whole.
Könnten Sie mir bitte ein Muster des Teppichs schicken?
Could you please send me a sample of the carpet?

model
A role model or ideal example of a certain behavior or quality that one can follow.
Sein Engagement für die Umwelt ist ein Muster für uns alle.
His commitment to the environment is a model for us all.

template / pattern
A template or stencil used to create a shape or design repeatedly.
Sie benutzte ein Schnittmuster, um das Kleid zu nähen.
She used a sewing pattern to make the dress.
You can easily recognize the meaning of 'Muster' from the context. If it is about clothing or design, it means a repeated form. In a business context, it is a sample. If people are talking about behavior, it is a role model.
Das Kleid hat ein schönes Blumenmuster.
The dress has a beautiful floral pattern.
When 'Muster' describes an ideal example, it is often used in the fixed phrase 'ein Muster an' or 'ein Muster von' followed by a noun in the dative or genitive. This emphasizes an outstanding quality.
Dieser Schüler ist ein Muster an Fleiß und Disziplin.
This student is a model of diligence and discipline.
When it is about a design, 'Muster' is very often combined with adjectives that describe appearance. Typical examples are 'geblümt' (floral), 'gestreift' (striped), 'gepunktet' (polka-dotted), or 'geometrisch' (geometric).
Ich suche einen Vorhang mit einem dezenten, geometrischen Muster.
I'm looking for a curtain with a subtle geometric pattern.
In the meaning 'Probe' (sample), 'Muster' is often used with verbs from the business world. Common combinations are 'ein Muster anfordern' (to request a sample), 'ein Muster schicken' (to send a sample), or 'ein kostenloses Muster erhalten' (to receive a free sample).
Viele Firmen schicken auf Anfrage kostenlose Muster ihrer Produkte.
Many companies send free samples of their products upon request.
role model / model
A Vorbild is usually a specific person whose behavior or achievements one wants to imitate. A Muster can also be an example worth following, but it places more emphasis on ideal behavior or an ideal quality. For an admired person, Vorbild is the more usual choice.

Der faire Umgang der Trainerin gilt den jungen Spielern als Muster für gutes Verhalten.
The coach's fair treatment of others is regarded by the young players as a model of good behavior.
Die faire Trainerin ist für die jungen Spieler ein Vorbild.
The fair-minded coach is a role model for the young players.