{"title":"从黄金比例到黄金级数及其社会应用","authors":"Koumbakis Basilios","doi":"10.20849/jed.v5i3.947","DOIUrl":null,"url":null,"abstract":"This paper is about the logic of golden ratio. It is about the calculation of its value and the inverse value, examination of its uniqueness, the relation with Fibonacci sequence and its spiral and the logic of development of an organism. We expand the logic of golden ratio up until the sequence of Zeno from Elea that tends to infinity. We find the differentiate logic of golden ratio coming from ancient years and its unknown relation to the golden ratio. Also, we calculate the values φ of series that follows the logic of golden ratio, reaching the golden (normal) series, as a result of its logic, with its modern applications. Finally, it is criticized the fact that we do not include golden ratio in our education and the consequences that this has, by compare it with the achievements of its era. The application of golden ratio’s logic in social sciences results in possible examples of its use and their advantages.","PeriodicalId":29977,"journal":{"name":"International Journal of Education and Development using Information and Communication Technology","volume":"25 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"From the Golden Ratio to the Golden Series and Their Social Application\",\"authors\":\"Koumbakis Basilios\",\"doi\":\"10.20849/jed.v5i3.947\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper is about the logic of golden ratio. It is about the calculation of its value and the inverse value, examination of its uniqueness, the relation with Fibonacci sequence and its spiral and the logic of development of an organism. We expand the logic of golden ratio up until the sequence of Zeno from Elea that tends to infinity. We find the differentiate logic of golden ratio coming from ancient years and its unknown relation to the golden ratio. Also, we calculate the values φ of series that follows the logic of golden ratio, reaching the golden (normal) series, as a result of its logic, with its modern applications. Finally, it is criticized the fact that we do not include golden ratio in our education and the consequences that this has, by compare it with the achievements of its era. The application of golden ratio’s logic in social sciences results in possible examples of its use and their advantages.\",\"PeriodicalId\":29977,\"journal\":{\"name\":\"International Journal of Education and Development using Information and Communication Technology\",\"volume\":\"25 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-11-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Education and Development using Information and Communication Technology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.20849/jed.v5i3.947\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Education and Development using Information and Communication Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.20849/jed.v5i3.947","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
From the Golden Ratio to the Golden Series and Their Social Application
This paper is about the logic of golden ratio. It is about the calculation of its value and the inverse value, examination of its uniqueness, the relation with Fibonacci sequence and its spiral and the logic of development of an organism. We expand the logic of golden ratio up until the sequence of Zeno from Elea that tends to infinity. We find the differentiate logic of golden ratio coming from ancient years and its unknown relation to the golden ratio. Also, we calculate the values φ of series that follows the logic of golden ratio, reaching the golden (normal) series, as a result of its logic, with its modern applications. Finally, it is criticized the fact that we do not include golden ratio in our education and the consequences that this has, by compare it with the achievements of its era. The application of golden ratio’s logic in social sciences results in possible examples of its use and their advantages.