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Isogonal figure. In geometry, a polytope (e.g. a polygon or polyhedron) or a tiling is isogonal or vertex-transitive if all its vertices are equivalent under the symmetries of the figure. This implies that each vertex is surrounded by the same kinds of face in the same or reverse order, and with the same angles between corresponding faces.
Isotoxal figure. In geometry, a polytope (for example, a polygon or a polyhedron) or a tiling is isotoxal (from Greek τόξον 'arc') or edge-transitive if its symmetries act transitively on its edges. Informally, this means that there is only one type of edge to the object: given two edges, there is a translation, rotation, and/or reflection ...
Skew polygon. The red edges of this tetragonal disphenoid represent a regular zig-zag skew quadrilateral. In geometry, a skew polygon is a polygon whose vertices are not all coplanar. [1] Skew polygons must have at least four vertices. The interior surface (or area) of such a polygon is not uniquely defined.
Apr 2, 2023 · Literally "same angle" . There are several concepts in mathematics involving isogonality. Contents. 1 Isogonal trajectory. 2 Isogonal mapping. 3 Isogonal circles. 4 Isogonal line. 4.1 References. Isogonal trajectory. A trajectory that meets a given family of curves at a constant angle. See Isogonal trajectory . Isogonal mapping.
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Isogonal definition: equiangular; isogonic.. See examples of ISOGONAL used in a sentence.
Aug 18, 2017 · The Wikipedia page "Isotoxal Figure" said that an edge-transitive polyhedron or tiling must be vertex-transitive or face-transitive. I deleted that because it is false in general, as in the following example. Under what further conditions is it true, and how is it proven?
In geometry, a polytope (a polygon, polyhedron or tiling, for example) is isogonal or vertex-transitive if all its vertices are equivalent under the symmetries of the figure. This implies that each vertex is surrounded by the same kinds of face in the same or reverse order, and with the same angles between corresponding faces. All vertices of a finite n-dimensional isogonal figure exist on an ...
