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1. ### Isogonal figure - Wikipedia

en.wikipedia.org › wiki › Isogonal_figure

The dual of an isogonal polytope is an isohedral figure, which is transitive on its facets. k-isogonal and k-uniform figures. A polytope or tiling may be called k-isogonal if its vertices form k transitivity classes. A more restrictive term, k-uniform is defined as an k-isogonal figure constructed only from regular polygons.

What is an isogonal figure?

What is dual of isogonal polytope?

What is an isogonal polyhedron?

Are there any even sided polygons that are isogonal?

3. ### Talk:Isogonal figure - Wikipedia

en.wikipedia.org › wiki › Talk:Isogonal_figure

That figure has five interior angles of 90 deg and one of 270 deg. Those are not all equal! Isogonal does also imply that the vertices are transitive, i.e. they lie within the same symmetry orbit, something like this: o---o / \ / \ / \ o o \ / o-------o

4. ### Isotoxal figure - Wikipedia

en.wikipedia.org › wiki › Isotoxal_figure

In geometry, a polytope (for example, a polygon or a polyhedron), or a tiling, is isotoxal or edge-transitive if its symmetries act transitively on its edges.

Sides (2 n )
4
6
8
{n α } Convex β<180 Concave β>180
{2 α }
{3 α }
{4 α }
2-turn { ( n /2) α }
--
{ (3/2) α }
2 {2 α }
3-turn { ( n /3) α }
--
--
{ (4/3) α }
4-turn { ( n /4) α }
--
--
--
5. ### Category:Isogonal tilings - Wikipedia

en.wikipedia.org › wiki › Category:Isogonal_tilings

Pages in category "Isogonal tilings" The following 153 pages are in this category, out of 153 total. This list may not reflect recent changes ().

6. ### Isogonal figure - WikiMili, The Best Wikipedia Reader

wikimili.com › en › Isogonal_figure

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.

7. ### Wikizero - Isogonal figure

www.wikizero.com › en › Isogonal_figure

Isogonal figure From Wikipedia the free encyclopedia 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.

8. ### Isohedral figure - Wikipedia

en.wikipedia.org › wiki › Isohedral_figure

A facet-transitive or isotopic figure is a n -dimensional polytopes or honeycomb, with its facets ((n −1)- faces) congruent and transitive. The dual of an isotope is an isogonal polytope. By definition, this isotopic property is common to the duals of the uniform polytopes. An isotopic 2-dimensional figure is isotoxal (edge-transitive).

9. ### Vertex figure - Wikipedia

en.wikipedia.org › wiki › Vertex_figures

Vertex figures are especially significant for uniforms and other isogonal (vertex-transitive) polytopes because one vertex figure can define the entire polytope. For polyhedra with regular faces, a vertex figure can be represented in vertex configuration notation, by listing the faces in sequence around the vertex.

10. ### July 26 - Wikipedia

en.wikipedia.org › wiki › July_26

1948 – Herbert Wiesinger, German figure skater 1949 – Thaksin Shinawatra , Thai businessman and politician, 23rd Prime Minister of Thailand 1949 – Roger Taylor , English singer-songwriter, drummer, and producer

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