View source for Möbius-Kantor configuration

{{Infobox polytope
| img = File:Möbius–Kantor configuration symmetric.svg
| rank = 2
| type = [[Regular]]
| space =
| edges = 8 [[triad]]s
| vertices = 8
| verf = [[Triad]]
| dual = [[{{PAGENAME}}]]
| euler = 0
| configsym = {{Configsym|8|3}}
| smore = Yes
}}
The [[{{PAGENAME}}]] is a [[exotic|exotic polygonoid]] and 3-[[configuration]]. It has 8 [[triad]]s and 8 [[vertices]], with a triadic [[vertex figure]]. The {{PAGENAME}} cannot be realized in Euclidean space with straight edges. It can however be realized complex [[projective space]].

== Related polytopes ==
The {{PAGENAME}} is closely related to the [[Möbius-Kantor polygon]], a [[complex polytope|complex]] polygon. The two have the same [[abstract]] structure.

== Gallery ==
<gallery mode=packed heights=256px>
File:(8_4) square.svg|A realization of the {{PAGENAME}}<ref>{{harvcoltxt|Coxeter|1950|p=429}}</ref> on the surface of a [[torus]]
File:Möbius–Kantor unit distance.svg|The [[Möbius-Kantor graph]], the [[incidence graph]] of the {{PAGENAME}} 
File:(8 4) nearly euclidean.svg|The {{PAGENAME}} realized in Euclidean space with 7 straight edges. Since the {{PAGENAME}} cannot be realized in Euclidean space with only straight edges, this is the most straight edges possible.
</gallery>

== External links ==
* {{Wikipedia}}
* {{Mathworld|Moebius-KantorConfiguration|Möbius-Kantor Configuration}}

== References ==
{{reflist}}

== Bibliography ==
*{{citation
 | last = Coxeter
 | first = Harold
 | title = Self-dual configurations and regular graphs
 | url = https://www.ams.org/journals/bull/1950-56-05/S0002-9904-1950-09407-5/S0002-9904-1950-09407-5.pdf
 | year = 1950
 | journal = Bulletin of the American Mathematical Society
 | volume = 56
 | issue = 5
 | pages = 427–431
 | doi = 10.1090/S0002-9904-1950-09407-5
 | doi-access = free
 | mr=0038078
 }}

[[Category:Regular configurations]]