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Title:

Reptilings and space-filling curves for acute triangles

Document type:
Zeitschriftenaufsatz
Author(s):
Gottschau, Marinus; Haverkort, Herman; Matzke, Kilian
Non-TUM Co-author(s):
ja
Cooperation:
international
Abstract:
An r-gentiling is a dissection of a shape into r≥2 parts that are all similar to the original shape. An r-reptiling is an r-gentiling of which all parts are mutually congruent. By applying gentilings recursively, together with a rule that defines an order on the parts, one may obtain an order in which to traverse all points within the original shape. We say such a traversal is a face-continuous space-filling curve if, at any level of recursion, the interior of the union of any set of consecutive...     »
Intellectual Contribution:
Discipline-based Research
Journal title:
Discrete & Computational Geometry
Year:
2017
Month:
12
Pages contribution:
1--30
Fulltext / DOI:
doi:10.1007/s00454-017-9953-0
Print-ISSN:
0179-5376
Judgement review:
0
Key publication:
Ja
Peer reviewed:
Ja
International:
Ja
Book review:
Nein
Commissioned:
not commissioned
Professional Journal:
Nein
Interdisciplinarity:
Nein
Mission statement:
;
Ethics and Sustainability:
Nein
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