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Longer titles found: Isogonal conjugate (view), Isogonal figure (view)

searching for Isogonal 26 found (284 total)

alternate case: isogonal

List of isotoxal polyhedra and tilings (557 words) [view diff] exact match in snippet view article find links to article

isohedral (face-transitive), isogonal (vertex-transitive), and isotoxal (edge-transitive). Quasiregular polyhedra are isogonal and isotoxal, but not isohedral;

Orthogonal trajectory (1,258 words) [view diff] exact match in snippet view article find links to article

intersects the given curves by an arbitrary (but fixed) angle, one gets an isogonal trajectory. Generally, one assumes that the pencil of curves is given implicitly

Feuerbach hyperbola (736 words) [view diff] exact match in snippet view article find links to article

tangent to this hyperbola at I {\displaystyle I} . The hyperbola is the isogonal conjugate of O I {\displaystyle OI} , the line joining the circumcenter

Newton–Gauss line (1,516 words) [view diff] exact match in snippet view article find links to article

Newton–Gauss line of the complete quadrilateral ABCDEF and the line EF are isogonal lines of ∠BEC, that is, each line is a reflection of the other about the

Tessellation (6,042 words) [view diff] exact match in snippet view article find links to article

tilings are isogonal and monohedral. A semi-regular (or Archimedean) tessellation uses more than one type of regular polygon in an isogonal arrangement

List of uniform polyhedra (1,075 words) [view diff] exact match in snippet view article find links to article

polygons as faces and is vertex-transitive (transitive on its vertices, isogonal, i.e. there is an isometry mapping any vertex onto any other). It follows

Uniform honeycomb (432 words) [view diff] exact match in snippet view article find links to article

Isogonal honeycomb of uniform polytope facets

Uniform honeycomb (432 words) [view diff] exact match in snippet view article find links to article

Isogonal honeycomb of uniform polytope facets

Uniform tilings in hyperbolic plane (1,586 words) [view diff] exact match in snippet view article find links to article

polygons as faces and is vertex-transitive (transitive on its vertices, isogonal, i.e. there is an isometry mapping any vertex onto any other). It follows

Thomson cubic (56 words) [view diff] exact match in snippet view article find links to article

The Thomson cubic (black curve) contains the point X whose isogonal conjugate (X') is on the line X(2)-X.

Nagel point (568 words) [view diff] exact match in snippet view article find links to article

the Nagel point is the incenter of the anticomplementary triangle. The isogonal conjugate of the Nagel point is the point of concurrency of the lines joining

Fermat point (3,043 words) [view diff] exact match in snippet view article find links to article

respectively denote the Boolean variables (A < 120°), (B < 120°), (C < 120°). The isogonal conjugate of X(13) is the first isodynamic point, X(15): sin ⁡ ( A + π

Pyramid (geometry) (1,422 words) [view diff] exact match in snippet view article

Mathematical Association of America, p. 85. Grünbaum, Branko (1997), "Isogonal Prismatoids", Discrete & Computational Geometry, 18: 13–52, doi:10.1007/PL00009307

Concurrent lines (1,453 words) [view diff] exact match in snippet view article find links to article

triangle's opposite vertex, are concurrent at a point called the first isogonal center. In the case in which the original triangle has no angle greater

Václav Jeřábek (317 words) [view diff] exact match in snippet view article find links to article

lectures. He is well remembered by the Jerabek hyperbola, the locus of the isogonal conjugate of a point that traverses the Euler line of a triangle. He was

3-4-3-12 tiling (521 words) [view diff] exact match in snippet view article find links to article

from the square tiling. For 16-gons (n=4), the gaps can be filled with isogonal octagons and isosceles triangles. Critchlow, pp. 62–67 Grünbaum and Shephard

Perpendicular bisector construction of a quadrilateral (795 words) [view diff] exact match in snippet view article find links to article

homothetic. 3. The perpendicular bisector construction can be reversed via isogonal conjugation. That is, given Q ( i + 1 ) {\displaystyle Q^{(i+1)}} , it

Jack D. Dunitz (1,903 words) [view diff] exact match in snippet view article find links to article

1021/cg401646t. Dunitz, J. D.; Waser, J. (1972). "The Planarity of the Equilateral Isogonal Pentagon". Elemente der Mathematik. 27: 25–32. Dunitz, J. D.; Waser, J

Duoprism (1,267 words) [view diff] exact match in snippet view article find links to article

different sizes) in perpendicular orientations. The resulting polychoron is isogonal and has 2p p-gonal prisms and p2 rectangular trapezoprisms (a cube with

Uniform polytope (2,947 words) [view diff] exact match in snippet view article find links to article

Isogonal polytope with uniform facets

Uniform polyhedron (2,540 words) [view diff] exact match in snippet view article find links to article

Isogonal polyhedron with regular faces

Yield surface (7,027 words) [view diff] exact match in snippet view article find links to article

\beta _{3}=1/2} , χ 3 = [ 0 , 1 ] {\displaystyle \chi _{3}=[0,1]} . The isogonal (equiangular) hexagons of the Haythornthwaite criterion containing the

Triangle center (3,898 words) [view diff] exact match in snippet view article find links to article

lines AA', BB', CC' are concurrent and the point of concurrence is the 1st isogonal center. Its trilinear coordinates are csc ⁡ ( A + π 3 ) : csc ⁡ ( B + π

Napoleon's theorem (2,893 words) [view diff] exact match in snippet view article find links to article

http://mathworld.wolfram.com/OuterNapoleonTriangle.html Grünbaum, Branko (1997). "Isogonal Prismatoids". Discrete & Computational Geometry. 18: 13–52. doi:10.1007/PL00009307

Uniform 4-polytope (4,310 words) [view diff] exact match in snippet view article find links to article

[[3,4,3]]+ isogonal 4-polytope # Name Vertex figure Coxeter diagram and Schläfli symbols Cell counts by location Element counts Pos. 3-0 (48) Pos. 2-1

Planigon (2,719 words) [view diff] exact match in snippet view article find links to article

k-dual-uniform or k-isohedral; if there are t orbits of dual vertices, as t-isogonal; if there are e orbits of edges, as e-isotoxal. k-dual-uniform tilings