sechseckigen

Sechseckigen is the inflected form of the German adjective sechseckig, meaning six-sided or hexagonal. The base form sechseckig is used to describe objects that have six sides or angles, such as polygons, tiles, or cells. Sechseckigen appears in contexts where the adjective is declined before plural nouns in certain cases, for example in phrases like in sechseckigen Zellen (dative plural) or sechseckige Formen (nominative plural). The term is built from sechs (six) and Eck (corner) with the common adjectival suffix -ig, indicating a property.

In geometry, a hexagon is a polygon with six edges and six interior angles. A regular hexagon has equal sides and angles of 120 degrees. Hexagonal shapes are common in nature and design, appearing in honeycomb structures, crystal lattices, tilings, and various architectural or decorative patterns. The adjective sechseckig is widely used in mathematics, science, and everyday language to describe such six-sided figures, while Sechseck is the corresponding noun naming the shape itself.

Compared with synonyms, sechseckig emphasizes the property of having six sides rather than any specific arrangement, while the noun Sechseck refers to the shape as a concept. The form sechseckigen is one of several declined forms the adjective takes to agree with different grammatical cases and numbers.