Full 3D Structural Zoning of Space using a Geometrically Related Reducer and Matrix Coupling

H. Hofmeyer; J.G.M. Kerstens

Full 3D Structural Zoning of Space using a Geometrically Related Reducer and Matrix Coupling

H. Hofmeyer
, J.G.M. Kerstens

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

5 Citations (Scopus)

77 Downloads (Pure)

Abstract

Structural zoning is the recognition of forms in spatial designs. It can be used by a structural designer to develop a structural system. This paper will start with the presentation of a proof that neither user action nor a two-dimensional approach -two existing approaches of zoning- are able to recognize all possibilities for the application of a structural design to a spatial design. Only full threedimensional structural zoning is considered to be an appropriate instrument to give useful solutions. Two new concepts will be presented to overcome problems for three-dimensional zoning: (1) Geometrically Related Reducers and (2) Matrix Coupling. These concepts are first defined in a general form and thereafter the definitions are condensed into a practically applicable format. Both concepts are demonstrated when finding rectangular zones in spatial designs up to 44 separate spatial entities. They are programmed procedurally using the C++ computer language and are used for a comparison between structural designers and computer performance.

Original language	English
Title of host publication	CAADRIA '06, Proceedings of the 11th Conference on Computer Aided Architectural Design Research in Asia
Editors	xx Atsuko Kaga, xx Ryusuke Naka
Pages	161-168
Publication status	Published - 2006
Event	11th International Conference on Computer Aided Architectural Design Research in Asia (CAADRIA 2006), March 31-April 2, 2006, Kumamoto, Japan - Kumamoto University, Kumamoto, Japan Duration: 31 Mar 2006 → 2 Apr 2006

Conference

Conference	11th International Conference on Computer Aided Architectural Design Research in Asia (CAADRIA 2006), March 31-April 2, 2006, Kumamoto, Japan
Abbreviated title	CAADRIA 2006
Country/Territory	Japan
City	Kumamoto
Period	31/03/06 → 2/04/06
Other	"Rhythm and Harmony in Digital Space"

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@inproceedings{472731c174ad413a9dee013c77147183,

title = "Full 3D Structural Zoning of Space using a Geometrically Related Reducer and Matrix Coupling",

abstract = "Structural zoning is the recognition of forms in spatial designs. It can be used by a structural designer to develop a structural system. This paper will start with the presentation of a proof that neither user action nor a two-dimensional approach -two existing approaches of zoning- are able to recognize all possibilities for the application of a structural design to a spatial design. Only full threedimensional structural zoning is considered to be an appropriate instrument to give useful solutions. Two new concepts will be presented to overcome problems for three-dimensional zoning: (1) Geometrically Related Reducers and (2) Matrix Coupling. These concepts are first defined in a general form and thereafter the definitions are condensed into a practically applicable format. Both concepts are demonstrated when finding rectangular zones in spatial designs up to 44 separate spatial entities. They are programmed procedurally using the C++ computer language and are used for a comparison between structural designers and computer performance.",

author = "H. Hofmeyer and J.G.M. Kerstens",

year = "2006",

language = "English",

isbn = "4-907662-01-7",

pages = "161--168",

editor = "\{Atsuko Kaga\}, xx and \{Ryusuke Naka\}, xx",

booktitle = "CAADRIA '06, Proceedings of the 11th Conference on Computer Aided Architectural Design Research in Asia",

note = "11th International Conference on Computer Aided Architectural Design Research in Asia (CAADRIA 2006), March 31-April 2, 2006, Kumamoto, Japan, CAADRIA 2006 ; Conference date: 31-03-2006 Through 02-04-2006",

}

Hofmeyer, H & Kerstens, JGM 2006, Full 3D Structural Zoning of Space using a Geometrically Related Reducer and Matrix Coupling. in X Atsuko Kaga & X Ryusuke Naka (eds), CAADRIA '06, Proceedings of the 11th Conference on Computer Aided Architectural Design Research in Asia. pp. 161-168, 11th International Conference on Computer Aided Architectural Design Research in Asia (CAADRIA 2006), March 31-April 2, 2006, Kumamoto, Japan, Kumamoto, Japan, 31/03/06.

Full 3D Structural Zoning of Space using a Geometrically Related Reducer and Matrix Coupling. / Hofmeyer, H.; Kerstens, J.G.M.
CAADRIA '06, Proceedings of the 11th Conference on Computer Aided Architectural Design Research in Asia. ed. / xx Atsuko Kaga; xx Ryusuke Naka. 2006. p. 161-168.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Full 3D Structural Zoning of Space using a Geometrically Related Reducer and Matrix Coupling

AU - Hofmeyer, H.

AU - Kerstens, J.G.M.

PY - 2006

Y1 - 2006

N2 - Structural zoning is the recognition of forms in spatial designs. It can be used by a structural designer to develop a structural system. This paper will start with the presentation of a proof that neither user action nor a two-dimensional approach -two existing approaches of zoning- are able to recognize all possibilities for the application of a structural design to a spatial design. Only full threedimensional structural zoning is considered to be an appropriate instrument to give useful solutions. Two new concepts will be presented to overcome problems for three-dimensional zoning: (1) Geometrically Related Reducers and (2) Matrix Coupling. These concepts are first defined in a general form and thereafter the definitions are condensed into a practically applicable format. Both concepts are demonstrated when finding rectangular zones in spatial designs up to 44 separate spatial entities. They are programmed procedurally using the C++ computer language and are used for a comparison between structural designers and computer performance.

AB - Structural zoning is the recognition of forms in spatial designs. It can be used by a structural designer to develop a structural system. This paper will start with the presentation of a proof that neither user action nor a two-dimensional approach -two existing approaches of zoning- are able to recognize all possibilities for the application of a structural design to a spatial design. Only full threedimensional structural zoning is considered to be an appropriate instrument to give useful solutions. Two new concepts will be presented to overcome problems for three-dimensional zoning: (1) Geometrically Related Reducers and (2) Matrix Coupling. These concepts are first defined in a general form and thereafter the definitions are condensed into a practically applicable format. Both concepts are demonstrated when finding rectangular zones in spatial designs up to 44 separate spatial entities. They are programmed procedurally using the C++ computer language and are used for a comparison between structural designers and computer performance.

M3 - Conference contribution

SN - 4-907662-01-7

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EP - 168

BT - CAADRIA '06, Proceedings of the 11th Conference on Computer Aided Architectural Design Research in Asia

A2 - Atsuko Kaga, xx

A2 - Ryusuke Naka, xx

T2 - 11th International Conference on Computer Aided Architectural Design Research in Asia (CAADRIA 2006), March 31-April 2, 2006, Kumamoto, Japan

Y2 - 31 March 2006 through 2 April 2006

ER -

Full 3D Structural Zoning of Space using a Geometrically Related Reducer and Matrix Coupling

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