Order-7 truncated triangular tiling
Encyclopedia
In geometry
, the Order 7 truncated heptagonal tiling, sometimes called the hyperbolic soccerball, is a semiregular tiling of the hyperbolic plane. There are two hexagons and one heptagon on each vertex
, forming a pattern similar to a conventional soccer ball (truncated icosahedron
) with heptagons in place of pentagon
s. It has Schläfli symbol of t1,2{7,3}.
Geometry
Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers ....
, the Order 7 truncated heptagonal tiling, sometimes called the hyperbolic soccerball, is a semiregular tiling of the hyperbolic plane. There are two hexagons and one heptagon on each vertex
Vertex (geometry)
In geometry, a vertex is a special kind of point that describes the corners or intersections of geometric shapes.-Of an angle:...
, forming a pattern similar to a conventional soccer ball (truncated icosahedron
Truncated icosahedron
In geometry, the truncated icosahedron is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids whose faces are two or more types of regular polygons.It has 12 regular pentagonal faces, 20 regular hexagonal faces, 60 vertices and 90 edges....
) with heptagons in place of pentagon
Pentagon
In geometry, a pentagon is any five-sided polygon. A pentagon may be simple or self-intersecting. The sum of the internal angles in a simple pentagon is 540°. A pentagram is an example of a self-intersecting pentagon.- Regular pentagons :In a regular pentagon, all sides are equal in length and...
s. It has Schläfli symbol of t1,2{7,3}.
Dual tiling
The dual tiling is called an order-3 heptakis heptagonal tiling, named for being constructible as an order-3 heptagonal tiling with every heptagon divided into seven triangles by the center point.
See also
- Triangular tiling
- Order-3 heptagonal tiling
- Order-7 triangular tiling
- Tilings of regular polygons
- List of uniform tilings
