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Euclidean plane tilings by convex regular polygons have been widely used since antiquity. The first systematic mathematical treatment was that of Kepler in his Harmonices Mundi (Latin: The Harmony of the World, 1619).

AttributesValues
rdfs:label
  • Tessel·lació regular (ca)
  • Teselado regular (es)
  • Euclidean tilings by convex regular polygons (en)
  • Pavage par des polygones réguliers (fr)
  • 정다각형 테셀레이션 (ko)
  • Malha plana por polígonos regulares (pt)
  • Мозаики из выпуклых правильных многоугольников на евклидовой плоскости (ru)
  • 正多边形镶嵌 (zh)
rdfs:comment
  • Una tessel·lació regular o tessel·lació amb polígons regulars és un tesel·lació del pla que empra un sol tipus de polígons regulars. Aquests patrons geomètrics han estat àmpliament utilitzats amb fins decoratius des de l'antiguitat. Només són possibles tesel·lacions regulars emprant triangles equilàters, quadrats i hexàgons regulars. El primer tractament matemàtic sistemàtic del tema va ser el de Kepler en el seu llibre Harmonices Mundi (llatí: L’harmonia del món, 1619). (ca)
  • Euclidean plane tilings by convex regular polygons have been widely used since antiquity. The first systematic mathematical treatment was that of Kepler in his Harmonices Mundi (Latin: The Harmony of the World, 1619). (en)
  • Un teselado regular o teselado con polígonos regulares es un teselado del plano que emplea un solo tipo de polígonos regulares.​ Estos patrones geométricos han sido ampliamente utilizados con fines decorativos desde la antigüedad. Solo son posibles teselados regulares empleando triángulos equiláteros, cuadrados y hexágonos regulares. El primer tratamiento matemático sistemático del tema fue el de Kepler. (es)
  • Cet article traite des pavages par des polygones réguliers. (fr)
  • 정다각형 테셀레이션 또는 정다각형 타일링은 정다각형으로 유클리드 평면을 채우는 타일링으로, 고대부터 널리 쓰여 왔다. 1619년 케플러의 책 《세계의 조화》에서 이 테셀레이션에 대해 최초로 체계적이며 수학적으로 접근했다. (ko)
  • Malhas Planas por polígonos regulares vêm sendo usadas desde a antiguidade sem ser, no entanto, classificadas ou ter um estudo sistematizado. O primeiro tratamento matemático do assunto foi o de Kepler em seu livro Harmonices Mundi, que generalizou o conceito dos sólidos de arquimedes para o plano Euclidiano. Malhas por polígonos regulares cobrem o plano utilizando apenas polígonos regulares em arranjos em torno de um vértice. (pt)
  • 正多边形镶嵌就是用正多边形铺满整个平面。 (zh)
  • Замощения евклидовой плоскости выпуклыми правильными многоугольниками широко использовался ещё с античных времён. Первое систематическое изложение было сделано Кеплером в его книге Harmonices Mundi (Гармония мира, на латинском, 1619). (ru)
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