Anzeige
Erschienen in:
2018 | OriginalPaper | Buchkapitel
2. Operations on Maps
verfasst von : Mircea Vasile Diudea
Erschienen in: Multi-shell Polyhedral Clusters
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
Abstract
Design of structures discussed in this book is based on “operations on maps” (topological-geometrical modifications of a parent map), merely applied on the Platonic solids: tetrahedron (T), cube (C), octahedron (O), dodecahedron (D) and icosahedron (I); a map M is a discretized surface domain. The operations discussed in the Chap. 2 are: dual d, medial m, truncation t, polygonal mapping p
n
, snub s, leapfrog l, quadrupling/chamfering q, and septupling/wirl s
n
.
The figure sequence of a modified polyhedron: {v, e, f}, is given function of the edges e of the parent polyhedron; all the parameters herein presented refer to regular maps. The symmetry of parents is preserved by running these operations. An Atlas of single-shell clusters derived from the Platonic solids is also presented.