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ERIC Number: ED016847
Record Type: RIE
Publication Date: 1967-Mar
Pages: 19
Abstractor: N/A
Reference Count: 0
ISBN: N/A
ISSN: N/A
USES OF SYMMETRY IN DESIGN EDUCATION. FINAL REPORT.
HUFF, WILLIAM S.
A THEORY OF STRUCTURE IS ESSENTIAL TO AN OBJECTIVE ORGANIZATION OF BASIC PEDAGOGIES IN DESIGN. THE PURPOSE OF THIS STUDY WAS TO ASSESS THE STRUCTURAL THEORY OF MATHEMATICIAN K.L. WOLF AND TO TRANSLATE THIS THEORY INTO A VISUAL PRODUCT THAT COULD BE USED BY BEGINNING DESIGN STUDENTS. WOLF DESCRIBES 6 ISOMORPHIC COVERAGE OPERATIONS AND 7 HOMOEOMORPHIC COVERAGE OPERATIONS. TRANSLATION (T), ROTATION (R), AND MIRROR-REFLECTIONS (M) ARE THE THREE PRIME ISOMORPHIC OPERATIONS, AND COUPLED, THE THREE COMBINE INTO THREE MORE ISOMORPHIC OPERATIONS, (T + M), (T + R), AND (M + R). DILATION (D) IS THE BASIC HOMOEOMETRIC OPERATION WHICH IN TURN IS COMBINED WITH THE SIX ISOMORPHS TO COMPLETE THE LIST OF 13 COVERAGE OPERATIONS. IT WAS POSSIBLE TO JUSTIFY ALL 13 OPERATIONS ON VISUAL TERMS AND TO FIND EXTANT NATURAL OR MAN-MADE EXAMPLES OF 12 OF THESE. THE 13TH IS SO COMPLEX THAT IT CAN BE REPRESENTED IN DRAWING BUT MAY NOT EXIST IN ANY KNOWN OBJECT. FURTHER, A THEORY OF DOMAINS WHICH ARE RULED BY ELEMENTS WAS DEVELOPED. IN ANY ISOMORPHIC OR HOMOEOMORPHIC STRUCTURE, EACH DOMAIN IS OF THE SAME OR SIMILAR SHAPE, AND A TOTALITY OF THEM COMPLETELY FILLS SPACE, PLANAR OR THREE-DIMENSIONAL. A PRIMER FOR FIRST-YEAR DESIGN STUDENTS WHICH TRANSLATES THE RATHER ABSTRACT MATHEMATICAL CONCEPT INTO VIVID VISUAL IMAGES HAS BEEN DEVELOPED FROM THIS MATERIAL. (HC)
Publication Type: N/A
Education Level: N/A
Audience: N/A
Language: N/A
Sponsor: N/A
Authoring Institution: Carnegie Inst. of Tech., Pittsburgh, PA.
Identifiers: N/A