{"title":"2 × 2 × 2彩色方块","authors":"Raymond Siegrist","doi":"10.2478/rmm-2018-0003","DOIUrl":null,"url":null,"abstract":"Abstract Using six colors, one per side, cubes can be colored in 30 unique ways. In this paper, a row and column pattern in Conway’s matrix always leads to a selection of eight cubes to replicate one of the 30 cubes. Each cube in the set of 30 has a 2 × 2 × 2 replica with inside faces of matching color. The eight cubes of each replica can be configured in two different ways.","PeriodicalId":120489,"journal":{"name":"Recreational Mathematics Magazine","volume":"129 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"2 × 2 × 2 Color Cubes\",\"authors\":\"Raymond Siegrist\",\"doi\":\"10.2478/rmm-2018-0003\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract Using six colors, one per side, cubes can be colored in 30 unique ways. In this paper, a row and column pattern in Conway’s matrix always leads to a selection of eight cubes to replicate one of the 30 cubes. Each cube in the set of 30 has a 2 × 2 × 2 replica with inside faces of matching color. The eight cubes of each replica can be configured in two different ways.\",\"PeriodicalId\":120489,\"journal\":{\"name\":\"Recreational Mathematics Magazine\",\"volume\":\"129 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Recreational Mathematics Magazine\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2478/rmm-2018-0003\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Recreational Mathematics Magazine","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/rmm-2018-0003","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Abstract Using six colors, one per side, cubes can be colored in 30 unique ways. In this paper, a row and column pattern in Conway’s matrix always leads to a selection of eight cubes to replicate one of the 30 cubes. Each cube in the set of 30 has a 2 × 2 × 2 replica with inside faces of matching color. The eight cubes of each replica can be configured in two different ways.