Geodesic
Infinite families of hypertopes from centrally symmetric polytopes
Claudio Alexandre Piedade1
1Centro de Matemática da Universidade do Porto
The electronic journal of combinatorics, Tome 30 (2023) no. 2
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

We construct infinite families of abstract regular polytopes of Schläfli type $\{4,p_1,\ldots,p_{n-1}\}$ from extensions of centrally symmetric spherical abstract regular $n$-polytopes. In addition, by applying the halving operation, we obtain infinite families of both locally spherical and locally toroidal regular hypertopes of type $\left\{\genfrac{}{}{0pt}{}{p_1}{p_1},\ldots,p_{n-1}\right\}$.
DOI : 10.37236/10392
Classification : 51E24, 52B11, 20F05, 52B12
Mots-clés : hypertopes, abstract regular polytopes, regular hypertopes, centrally symmetric regular polytopes

Claudio Alexandre Piedade  1

1 Centro de Matemática da Universidade do Porto 
@article{10_37236_10392,
     author = {Claudio Alexandre Piedade},
     title = {Infinite families of hypertopes from centrally symmetric polytopes},
     journal = {The electronic journal of combinatorics},
     year = {2023},
     volume = {30},
     number = {2},
     doi = {10.37236/10392},
     zbl = {1515.51007},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/10392/}
}
TY  - JOUR
AU  - Claudio Alexandre Piedade
TI  - Infinite families of hypertopes from centrally symmetric polytopes
JO  - The electronic journal of combinatorics
PY  - 2023
VL  - 30
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.37236/10392/
DO  - 10.37236/10392
ID  - 10_37236_10392
ER  - 
%0 Journal Article
%A Claudio Alexandre Piedade
%T Infinite families of hypertopes from centrally symmetric polytopes
%J The electronic journal of combinatorics
%D 2023
%V 30
%N 2
%U http://geodesic.mathdoc.fr/articles/10.37236/10392/
%R 10.37236/10392
%F 10_37236_10392
Claudio Alexandre Piedade. Infinite families of hypertopes from centrally symmetric polytopes. The electronic journal of combinatorics, Tome 30 (2023) no. 2. doi: 10.37236/10392

Cité par Sources :