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- In geometry, a stellation diagram or stellation pattern is a two-dimensional diagram in the plane of some face of a polyhedron, showing lines where other face planes intersect with this one. The lines cause 2D space to be divided up into regions. Regions not intersected by any further lines are called elementary regions. Usually unbounded regions are excluded from the diagram, along with any portions of the lines extending to infinity. Each elementary region represents a top face of one cell, and a bottom face of another. A collection of these diagrams, one for each face type, can be used to represent any stellation of the polyhedron, by shading the regions which should appear in that stellation. A stellation diagram exists for every face of a given polyhedron. In face transitive polyhedra, symmetry can be used to require all faces have the same diagram shading. Semiregular polyhedra like the Archimedean solids will have different stellation diagrams for different kinds of faces. (en)
- 별모양화 도표(Stellation diagram)란 다면체의 면을 무한히 확장했을 때 다른 면과 교차하는 선을 표시한 것이다. 이 도표의 구역 중 밖으로 드러난 부분만 칠하는 방식으로 별모양화 방식을 표시한다. 별모양화 입체가 원래 입체와 같은 회전대칭을 갖는다면, 같은 종류의 면에 대해 한개의 도표만 그리면 된다. (ko)
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- 별모양화 도표(Stellation diagram)란 다면체의 면을 무한히 확장했을 때 다른 면과 교차하는 선을 표시한 것이다. 이 도표의 구역 중 밖으로 드러난 부분만 칠하는 방식으로 별모양화 방식을 표시한다. 별모양화 입체가 원래 입체와 같은 회전대칭을 갖는다면, 같은 종류의 면에 대해 한개의 도표만 그리면 된다. (ko)
- In geometry, a stellation diagram or stellation pattern is a two-dimensional diagram in the plane of some face of a polyhedron, showing lines where other face planes intersect with this one. The lines cause 2D space to be divided up into regions. Regions not intersected by any further lines are called elementary regions. Usually unbounded regions are excluded from the diagram, along with any portions of the lines extending to infinity. Each elementary region represents a top face of one cell, and a bottom face of another. (en)
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- 별모양화 도표 (ko)
- Stellation diagram (en)
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