Polytope of Type {}
This page is part of the Atlas of Small Regular Polytopes
Atlas Canonical Name : {}*2
Also Known As : line segment, 1-simplex. if this polytope has another name.
Group : SmallGroup(2,1)
Rank : 1
Schlafli Type : {}
Number of vertices, edges, etc : 2
Special Properties :
Universal
Spherical
Orientable
Self-Dual
Related Polytopes :
Dual
Facet Of :
{2} of size 4
{3} of size 6
{4} of size 8
{5} of size 10
{6} of size 12
{7} of size 14
{8} of size 16
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{869} of size 1738
{870} of size 1740
{871} of size 1742
{872} of size 1744
{873} of size 1746
{874} of size 1748
{875} of size 1750
{876} of size 1752
{877} of size 1754
{878} of size 1756
{879} of size 1758
{880} of size 1760
{881} of size 1762
{882} of size 1764
{883} of size 1766
{884} of size 1768
{885} of size 1770
{886} of size 1772
{887} of size 1774
{888} of size 1776
{889} of size 1778
{890} of size 1780
{891} of size 1782
{892} of size 1784
{893} of size 1786
{894} of size 1788
{895} of size 1790
{896} of size 1792
{897} of size 1794
{898} of size 1796
{899} of size 1798
{900} of size 1800
{901} of size 1802
{902} of size 1804
{903} of size 1806
{904} of size 1808
{905} of size 1810
{906} of size 1812
{907} of size 1814
{908} of size 1816
{909} of size 1818
{910} of size 1820
{911} of size 1822
{912} of size 1824
{913} of size 1826
{914} of size 1828
{915} of size 1830
{916} of size 1832
{917} of size 1834
{918} of size 1836
{919} of size 1838
{920} of size 1840
{921} of size 1842
{922} of size 1844
{923} of size 1846
{924} of size 1848
{925} of size 1850
{926} of size 1852
{927} of size 1854
{928} of size 1856
{929} of size 1858
{930} of size 1860
{931} of size 1862
{932} of size 1864
{933} of size 1866
{934} of size 1868
{935} of size 1870
{936} of size 1872
{937} of size 1874
{938} of size 1876
{939} of size 1878
{940} of size 1880
{941} of size 1882
{942} of size 1884
{943} of size 1886
{944} of size 1888
{945} of size 1890
{946} of size 1892
{947} of size 1894
{948} of size 1896
{949} of size 1898
{950} of size 1900
{951} of size 1902
{952} of size 1904
{953} of size 1906
{954} of size 1908
{955} of size 1910
{956} of size 1912
{957} of size 1914
{958} of size 1916
{959} of size 1918
{960} of size 1920
{961} of size 1922
{962} of size 1924
{963} of size 1926
{964} of size 1928
{965} of size 1930
{966} of size 1932
{967} of size 1934
{968} of size 1936
{969} of size 1938
{970} of size 1940
{971} of size 1942
{972} of size 1944
{973} of size 1946
{974} of size 1948
{975} of size 1950
{976} of size 1952
{977} of size 1954
{978} of size 1956
{979} of size 1958
{980} of size 1960
{981} of size 1962
{982} of size 1964
{983} of size 1966
{984} of size 1968
{985} of size 1970
{986} of size 1972
{987} of size 1974
{988} of size 1976
{989} of size 1978
{990} of size 1980
{991} of size 1982
{992} of size 1984
{993} of size 1986
{994} of size 1988
{995} of size 1990
{996} of size 1992
{997} of size 1994
{998} of size 1996
{999} of size 1998
{1000} of size 2000
Quotients (Maximal Quotients in Boldface) :
No Regular Quotients.
Covers (Minimal Covers in Boldface) :
None in this atlas.
Permutation Representation (GAP) :
s0 := (1,2);;
poly := Group([s0]);;
Finitely Presented Group Representation (GAP) :
F := FreeGroup("s0");;
s0 := F.1;;
rels := [ s0*s0 ];;
poly := F / rels;;
Permutation Representation (Magma) :
s0 := Sym(2)!(1,2);
poly := sub<Sym(2)|s0>;
Finitely Presented Group Representation (Magma) :
poly<s0> := Group< s0 | s0*s0 >;
References : None.
to this polytope