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Hartanto Sunardi
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Education Mathematics

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ANALISIS DERET FIBONACCI DAN GOLDEN RATIO PADA SIMBOL HATI BERDASARKAN PROPORSI LOGO DESAIN PRODUK APPLE Puputi Wulandari; Hartanto Sunardi
Buana Matematika : Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 5 No 2 (2015)
Publisher : Universitas PGRI Adi Buana Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36456/buanamatematika.v5i2:.392

Abstract

Commonly Fibonacci sequence is understood as sequence which is gotten from relation orderly start from 0 and 1, then next number is gotten from the addition of two number before it. If number in Fibonacci sequence are divided with previous number will be gotten number which the value will be same after the comparison approaching 1,618… these number are known as Golden Ratio or symbolized as (phi).This study aims to analyze mathematically Heart symbol and arrange the element in terms of the Fibonacci sequence and Golden Ratio based on logo proportion product design Apple . Then the ratio of the beauty of the Heart figure before and after arrangements were analyzed using the Wilcoxon test with 18 respondents of the students audience Junior High School 2 Taman Sidoarjo. In addition, based on the value of statistical tests, proven heart fibo curve more beautiful than heart curve. Keywords : Fibonacci, Golden Ratio, Heart Curve, Apple Design, Wilcoxon
PEMBUKTIAN DUA PULUH LIMA DALIL PYTHAGORAS Sunaryo Sunaryo; Hartanto Sunardi
Buana Matematika : Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 5 No 2 (2015)
Publisher : Universitas PGRI Adi Buana Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36456/buanamatematika.v5i2:.396

Abstract

Mathematics is a discipline that can help Pythagoras solve some various problems (Government,Industry, science) Pythagoras is the first person who contributed the proof of this theorem, however, many people believe that there is a special connection between the sides of a ringt triangle just a long before Phytagoras found it. However Phytagoras gave very significant important role in various major related to mathematics. For example to form trigonometri and algebra, this theorem is a connection between Euclidean geometry among the three sides of the triangle which shaped from the length of the two sides will equalto square number which formed by the hypotenuse. In athematics, Phytagoras theorem is written using the general form , where a and b represent the length of two other condition of a right triagle and c has a length of the hypotenuse. This observation aim to describe there verification of twenty five arguments of Phytagoras appropriately and correctly. And by knowing the expected arguments of Phytagoras makes learning math is not just memorize a formula but to understand more deeply and can be implemented in their daily lives. This research method using the method of literature from the literature study theore hcal framework underlying stuctored problem soling method that includes the use of the arguments of Phytagras, Phytagoras formula, triple Phytagoras, comparison of the sides of aright triangle for special angels and lines o the trigle. Keywords : Phytagoras, hipotenusa.
Co-Authors Puputi Wulandari Sunaryo Sunaryo