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(1) what is the construction of A15+ from C2G23 or U14?

(1) what is the construction of A15+ from C2G23 or U14 or vice-versa?

The coordination/kissing numbers are known, in the second column of the table above. But I am not sure about the Delaunay polytopes of these lattices. I have written what I have found about the Delaunay polytopes in the third column. In particular I would like to confirm the Delaunay polytope of A15+. Does it have 112 vertices as I have found, or is it the B15 polytope with 135 vertices? Where can I find more info about the Delaunay polytope(s) of A15+, and the polytope B15 listed in the table from Dutour above? Again is there any lattice associated with the polytope B15 listed in the table from Dutour above?

U14 and A15+ seem to have one kind of hole; their deepest hole is their only hole. I understand that the Delaunay polytopes of the lattices are 1:1 associated with the holes of the lattices. There seems to be only one kind of hole for A15+ and U14, so A15+ and U14 correspond to tesselations of space with one shape. Is that correct?

The coordination/kissing numbers are known, in the second column of the table above. But I am not sure about the Delaunay polytopes of these lattices. I have written what I have found about the Delaunay polytopes in the third column. In particular I would like to confirm the Delaunay polytope of A15+. Does it have 112 vertices as I have found, or is it the B15 polytope with 135 vertices? Where can I find more info about the Delaunay polytope(s) of A15+, and the polytope B15 listed in the table from Dutour above? Again is there any 15-dimensional lattice associated with the polytope B15 listed in the table from Dutour above?

U14 and A15+ seem to have one kind of hole; their deepest hole is their only hole. I understand that the Delaunay polytopes of the lattices are 1:1 associated with the holes of the lattices. There seems to be only one kind of hole for A15+ and U14, so A15+ and U14 correspond to tesselations of space with one shape, i.e. these lattices have only one Delaunay polytope. Is that correct?

(3A) U14 and A15+ seem to have only one Delaunay polytope, one kind of hole. Is that correct? I understand that the Delaunay polytopes are in 1:1 correspondence with the holes of the lattice. The U14 and A15+ lattices seem to have one kind of hole. So these lattices seem to correspond to tesselations of space with one Delaunay polytope. Is that correct?

(3A) U14 and A15+ seem to have only one Delaunay polytope, one kind of hole. Is that correct? I understand that the Delaunay polytopes are in 1:1 correspondence with the holes of the lattice. The U14 and A15+ lattices seem to have only one kind of hole. So these lattices seem to correspond to tesselations of space with only one Delaunay polytope. Is that correct?