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Itaniza Rosyadi
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Mathematics

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DESAIN MOTIF MOZAIK PADA REGULER DECAGON BERBASIS GOLDEN TRIANGLE Rosyadi, Itaniza; Kusno, K; Santoso, Kiswara Agung
KadikmA Vol 3, No 3: Desember 2012
Publisher : KadikmA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (708.809 KB)

Abstract

Abstract. Decagonal Penrose Mosaic is a decagonal interior design constructed by applying the basic of golden triangle Penrose tile. There are several techniques to design the mosaic, some of them are as follows: (1) constructing Penrose tile on the fifth iterations constructed from isosceles triangles which on each triangle is defined by decagon sector; (2) stating  Penrose symmetry base as the mosaic design base;  (3) dividing each Penrose tile golden triangle into 3 zone; (4) stating Penrose symmetry base to fill in Penrose tile golden triangle in each zone; (5) coloring the interior  Penrose symmetry base and the backgrounds. The formed design has been found several Penrose mosaic models in full symmetry, not fully symmetry, similar and overlap, which each models has natural motive and symmetry characteristics. By using the different coloring techniques it has been formed some coloring pattern on the centre, homogenous distribution, or spreading. This would enrich the varieties of mosaic design forms. Key Words : decagonal golden triangle Penrose tile, Penrose mosaic
DESAIN MOTIF MOZAIK PADA REGULER DECAGON BERBASIS GOLDEN TRIANGLE Itaniza Rosyadi; K Kusno; Kiswara Agung Santoso
KadikmA Vol 3 No 3 (2012): Desember 2012
Publisher : Department of Mathematics Education , University of Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/kdma.v3i3.1012

Abstract

Abstract. Decagonal Penrose Mosaic is a decagonal interior design constructed by applying the basic of golden triangle Penrose tile. There are several techniques to design the mosaic, some of them are as follows: (1) constructing Penrose tile on the fifth iterations constructed from isosceles triangles which on each triangle is defined by decagon sector; (2) stating  Penrose symmetry base as the mosaic design base;  (3) dividing each Penrose tile golden triangle into 3 zone; (4) stating Penrose symmetry base to fill in Penrose tile golden triangle in each zone; (5) coloring the interior  Penrose symmetry base and the backgrounds. The formed design has been found several Penrose mosaic models in full symmetry, not fully symmetry, similar and overlap, which each models has natural motive and symmetry characteristics. By using the different coloring techniques it has been formed some coloring pattern on the centre, homogenous distribution, or spreading. This would enrich the varieties of mosaic design forms. Key Words : decagonal golden triangle Penrose tile, Penrose mosaic
Co-Authors K Kusno Kiswara Agung Santoso