EdgeList = list[np.ndarray] # list of 2xdim arrays def get_cuts(N: Net) -> EdgeList: return np.concatenate([N.tope.meta[2][i]["cuts"] for i in range(len(N. ↪facets))]) def get_edges(N: Net) -> EdgeList: # apply to unfolded Net edges = [] for i, vertices in N.facets.items(): facet_template = N.tope.get_face(i) # has correct indices edges.extend((vertices[list(e)] for e in facet_template.faces[1])) return edges import itertools Net2d = None # new format of Net def iter_edges(N: Net2d) -> Iterable[np.ndarray[2,2]]: # apply to unfolded 2d␣ ↪Net return N.iter_faces_as_vertices(dim=1) FacetLabels = list[tuple[str, np.ndarray]] # label, position def get_facet_labels(N: Net) -> FacetLabels: labels = [] for i, vertices in N.facets.items(): labels.append((N.tope.meta[N.tope.dim-1][i]["index"], vertices. ↪mean(axis=0))) return labels def iter_facet_labels(N: Net2d, key: str) -> Iterable[str]: return zip(N.iter_meta(dim=2, key="index"), map(N.cells.values(), lambda x:␣ ↪x.vertices.mean(axis=0)))
‘think of the fourth dimension, not as a new region of space – a direction, as has been said, toward which we can never point– but as a principle of growth, of change, a measure of relations which cannot be expressed in terms of length, breadth and thickness’
the reflection is a double, that is to say at the same time an other and a same. This ambivalence provokes in baroque thought an inversion of significations which makes identity fantastic (I am an other) and otherness reassuring (There is another world, but it is similar to this one).[2]