# tessellation

## Polish translation: podzial na wieloboki/wielosciany ; triangulacja Delaunay'a

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GLOSSARY ENTRY (DERIVED FROM QUESTION BELOW)
 English term or phrase: tessellation Polish translation: podzial na wieloboki/wielosciany ; triangulacja Delaunay'a Entered by:

 16:15 Dec 9, 2001
English to Polish translations [PRO]
Tech/Engineering / GIS, IT
 English term or phrase: tessellation The Delaunay tessellations are preferred in many applications, as they are known to maximise the minimal angle, minimise the maximum circumcircle and minimise the maximum containing circle.
 podzial na wieloboki/wielosciany ; triangulacja Delaunay'a Explanation:podzial (obszaru) na elementy metoda Delaunay'a (tworzenie siatek); triangulacja Delaunay'a tessellation = podzial na wieloboki /wielosciany OR tesselacja/teselacja BUT Delaunay tessellation (triangulation) =triangulacja Delaunay'a "...While geometrists centuries ago reserved the term tessellation merely for divisions of the plane into regular polygons of equal size, most authors now define tessellations very broadly so as to include any arrangements of non-overlapping shapes ... In many other applications, point process data are observed from which one may wish to characterize the mosaic of regional patterns. The Voronoi tessellation and its dual concept, the Delaunay tessellation, are commonly used in such circumstances... ... an alternative type of tessellation can be formed by joining all neighboring points; by "neighboring" we mean pairs of points whose cells in the Voronoi tessellation share an edge. The tessellation resulting from this construction is the Delaunay tessellation. Under general conditions (see chapter 2.3 of [14]), the cells of a planar Delaunay tessellation are triangular. The Delaunay tessellation is also called the dual of the Voronoi tessellation..." www.stat.ucla.edu/~frederic/papers/tessellations.pdf "... Iteruj a?? ustanÄ… zmiany. Efekt: podzia?‚ (tesselacja) na wieloboki Voronoia. ... ca w dw??ch wymiarach - odpowiednia topologia. 26. Voronoi i Delaunay. ... " www.phys.uni.torun.pl/~duch/Wyklady/CI/CI-e.ppt "... do obszaru Voronoi generowanego przez ten punkt, czyli nie bylby wierz- cholkiem diagramu). 3. Wlasno'sci triangulacji Delaunay... Delaunay nazywamy graf dualny do diagramu Voronoi, kt'orego wierzcholkami s... "] duch.mimuw.edu.pl/~kowaluk/GEO/w01-06.ps
Selected response from:

ponar
 Dziękuję, Krzysztof4 KudoZ points were awarded for this answer

5 +1podzial na wieloboki
 Natalie
5Uklad wielobokow bez miejsc pustych i
 Teresa Goscinska
4podzial na wieloboki/wielosciany ; triangulacja Delaunay'aponar
4podzial na wieloboki/wielosciany ; triangulacja Delaunay'a
4teselacj(a)
 Hazel Whiteley

22 mins   confidence:
teselacj(a)

Explanation:
This is a guess but see the reference below.

Reference: http://www.zsee.bytom.pl/REFERATY/KARTY%203D/KARTY%203D.HTML
 Hazel WhiteleyLocal time: 09:19Native speaker of: English, Spanish

42 mins   confidence: peer agreement (net): +1
podzial na wieloboki

Explanation:
podzial na wieloboki (tesselacja)

Metody Inteligencji Obliczeniowej
... Iteruj aş ustaną zmiany. Efekt: podział (tesselacja) na wieloboki Voronoia. ... ca w dwóch wymiarach - odpowiednia topologia. 26. Voronoi i Delaunay. ...

 NataliePolandLocal time: 10:19Native speaker of: RussianPRO pts in pair: 2529

agree  leff: I opt for 'tesselacja' (http://galaxy.uci.agh.edu.pl/~dziekwm/aktualnosci/obieralne/...
 3 hrs

9 hrs   confidence:
Uklad wielobokow bez miejsc pustych i

Explanation:
bez nakladania sie na siebie w powtarzajacym sie wzorze

 Teresa GoscinskaLocal time: 20:19Native speaker of: PolishPRO pts in pair: 723

15 hrs   confidence:
podzial na wieloboki/wielosciany ; triangulacja Delaunay'a

Explanation:
podzial (obszaru) na elementy metoda Delaunay'a (tworzenie siatek);
triangulacja Delaunay'a

tessellation = podzial na wieloboki
/wielosciany OR tesselacja/teselacja
BUT
Delaunay tessellation (triangulation) =triangulacja Delaunay'a

"...While geometrists centuries ago reserved the term tessellation merely for divisions of the plane into regular polygons of equal size, most authors now define tessellations very broadly so as to include any arrangements of non-overlapping shapes ...
In many other applications, point process data are observed from which one may wish to characterize the mosaic of regional patterns. The Voronoi tessellation and its dual concept, the Delaunay tessellation, are commonly used in such circumstances...
... an alternative type of tessellation
can be formed by joining all neighboring points; by "neighboring" we mean pairs of points whose cells in the Voronoi tessellation share an edge. The tessellation resulting from this construction is the Delaunay tessellation. Under general conditions (see chapter 2.3 of [14]), the cells of a planar Delaunay tessellation are triangular. The Delaunay tessellation is also called the dual of the Voronoi tessellation..."
www.stat.ucla.edu/~frederic/papers/tessellations.pdf

"... Iteruj a?? ustanÄ… zmiany. Efekt: podzia?‚ (tesselacja) na wieloboki Voronoia. ... ca
w dw??ch wymiarach - odpowiednia topologia. 26. Voronoi i Delaunay. ... "

"... do obszaru Voronoi generowanego przez ten punkt, czyli nie bylby wierz- cholkiem diagramu). 3. Wlasno'sci triangulacji Delaunay... Delaunay nazywamy graf dualny do diagramu Voronoi, kt'orego wierzcholkami s... "] duch.mimuw.edu.pl/~kowaluk/GEO/w01-06.ps

Reference: http://www.stat.ucla.edu/~frederic/papers/tessellations.pdf
Reference: http://duch.mimuw.edu.pl/~kowaluk/GEO/w01-06.ps
 Native speaker of:

15 hrs   confidence:
podzial na wieloboki/wielosciany ; triangulacja Delaunay'a

Explanation:
podzial (obszaru) na elementy metoda Delaunay'a (tworzenie siatek);
triangulacja Delaunay'a

tessellation = podzial na wieloboki
/wielosciany OR tesselacja/teselacja
BUT
Delaunay tessellation (triangulation) =triangulacja Delaunay'a

"...While geometrists centuries ago reserved the term tessellation merely for divisions of the plane into regular polygons of equal size, most authors now define tessellations very broadly so as to include any arrangements of non-overlapping shapes ...
In many other applications, point process data are observed from which one may wish to characterize the mosaic of regional patterns. The Voronoi tessellation and its dual concept, the Delaunay tessellation, are commonly used in such circumstances...
... an alternative type of tessellation
can be formed by joining all neighboring points; by "neighboring" we mean pairs of points whose cells in the Voronoi tessellation share an edge. The tessellation resulting from this construction is the Delaunay tessellation. Under general conditions (see chapter 2.3 of [14]), the cells of a planar Delaunay tessellation are triangular. The Delaunay tessellation is also called the dual of the Voronoi tessellation..."
www.stat.ucla.edu/~frederic/papers/tessellations.pdf

"... Iteruj a?? ustanÄ… zmiany. Efekt: podzia?‚ (tesselacja) na wieloboki Voronoia. ... ca
w dw??ch wymiarach - odpowiednia topologia. 26. Voronoi i Delaunay. ... "

"... do obszaru Voronoi generowanego przez ten punkt, czyli nie bylby wierz- cholkiem diagramu). 3. Wlasno'sci triangulacji Delaunay... Delaunay nazywamy graf dualny do diagramu Voronoi, kt'orego wierzcholkami s... "] duch.mimuw.edu.pl/~kowaluk/GEO/w01-06.ps

Reference: http://www.stat.ucla.edu/~frederic/papers/tessellations.pdf
Reference: http://duch.mimuw.edu.pl/~kowaluk/GEO/w01-06.ps
 ponarPRO pts in pair: 695
 Dziękuję, Krzysztof

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