24 citations · 24 across the 4 of their papers we have counts for
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math.MG2004★ 24 cited
Coincidences of simplex centers and related facial structures
Allan L. Edmonds, Mowaffaq Hajja, Horst Martini
We investigate the geometric properties of simplices in Euclidean d-dimensional space for which two or more of the analogues of the classical triangle centers (including the centro…
math.GT2004
Embedded Surfaces in the 3-Torus
Allan L. Edmonds
Those maps of a closed surface to the three-dimensional torus that are homotopic to embeddings are characterized. Particular attention is paid to the somewhat intricate case when t…
math.MG2004
The Geometry of an Equifacetal Simplex
Allan L. Edmonds
Equifacetal simplices, all of whose codimension one faces are congruent to one another, are studied. It is shown that the isometry group of such a simplex acts transitively on its…