Hendecagram
Encyclopedia
A hendecagram is a star polygon that has eleven vertices
. There are 4 regular forms: {11/2}, {11/3}, {11/4}, {11/5}.
with 11 vertices. This is also the graph of the 10-simplex
, in a skew orthogonal projection.
Vertex (geometry)
In geometry, a vertex is a special kind of point that describes the corners or intersections of geometric shapes.-Of an angle:...
. There are 4 regular forms: {11/2}, {11/3}, {11/4}, {11/5}.
Symbolism
- The {11/2} star polygon is used as a symbol for the Aleister Crowley Foundation.
- {11/3} Hendecagrams are on the DomeDomeA dome is a structural element of architecture that resembles the hollow upper half of a sphere. Dome structures made of various materials have a long architectural lineage extending into prehistory....
of the tombTombA tomb is a repository for the remains of the dead. It is generally any structurally enclosed interment space or burial chamber, of varying sizes...
of Shah Ne'emat Ollah-e-Vali, Mahan, IranMahan, IranMahan is a city in and capital of Mahan District, in Kerman County, Kerman Province, Iran. At the 2006 census, its population was 16,787, in 4,138 families....
.
Popular culture
- Hendecagram is the most frequently used symbol in album cover arts of the SwedishSwedenSweden , officially the Kingdom of Sweden , is a Nordic country on the Scandinavian Peninsula in Northern Europe. Sweden borders with Norway and Finland and is connected to Denmark by a bridge-tunnel across the Öresund....
symphonic metalSymphonic metalSymphonic metal is a term used to describe heavy metal music that has symphonic elements; that is, elements that are either borrowed from classical music or, as with progressive rock music, create a style reminiscent of it, e.g...
band, TherionTherion (band)Therion is a Swedish symphonic metal band founded by Christofer Johnsson in 1987. The word "therion" comes from the Greek therion , meaning "Beast," i.e., that of the Christian Book of Revelation...
. - The {11/4} hendecagram appears upon the cover of SwedishSwedenSweden , officially the Kingdom of Sweden , is a Nordic country on the Scandinavian Peninsula in Northern Europe. Sweden borders with Norway and Finland and is connected to Denmark by a bridge-tunnel across the Öresund....
black metalBlack metalBlack metal is an extreme subgenre of heavy metal music. Common traits include fast tempos, shrieked vocals, highly distorted guitars played with tremolo picking, blast beat drumming, raw recording, and unconventional song structure....
band DissectionDissectionDissection is usually the process of disassembling and observing something to determine its internal structure and as an aid to discerning the functions and relationships of its components....
's final album, ReinkaosReinkaosReinkaos is the third and final studio album by Swedish melodic black/death metal band, Dissection. The album is a drastic change from the band's previous material, leaving the early influences of black metal and heading towards Gothenburg metal...
.
Graph
The regular hendecagon and hendecagrams combine together to represent a complete graphComplete graph
In the mathematical field of graph theory, a complete graph is a simple undirected graph in which every pair of distinct vertices is connected by a unique edge.-Properties:...
with 11 vertices. This is also the graph of the 10-simplex
10-simplex
In geometry, a 10-simplex is a self-dual regular 10-polytope. It has 11 vertices, 55 edges, 165 triangle faces, 330 tetrahedral cells, 462 5-cell 4-faces, 462 5-simplex 5-faces, 330 6-simplex 6-faces, 165 7-simplex 7-faces, 55 8-simplex 8-faces, and 11 9-simplex 9-faces...
, in a skew orthogonal projection.
10-simplex 10-simplex In geometry, a 10-simplex is a self-dual regular 10-polytope. It has 11 vertices, 55 edges, 165 triangle faces, 330 tetrahedral cells, 462 5-cell 4-faces, 462 5-simplex 5-faces, 330 6-simplex 6-faces, 165 7-simplex 7-faces, 55 8-simplex 8-faces, and 11 9-simplex 9-faces... (10D) |