artists mentioned by Boards of Canada in their interviews
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=== The Campfire Headphase === | === The Campfire Headphase === | ||
− | [Khov] made a post on the watmm forum about one of the small artwork pictures on [[The Campfire Headphase]] cover which obviously has been taken from [[ | + | [Khov] made a post on the watmm forum about one of the small artwork pictures on [[The Campfire Headphase]] cover which obviously has been taken from [[http://www.iit.edu/alumni/updates/yearbook/1970s/images/campus%20and%20student%20in%20computer%20center%201979.jpg this 1979 yearbook picture]]. |
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− | The formula 3n(n-1)+1. This gives the sequence 1, 7, 19, 37, 61, 91, .... These are the centered hexagonal numbers | + | The formula 3n(n-1)+1. This gives the sequence 1, 7, 19, 37, 61, 91, .... These are the centered hexagonal numbers. You can make a series of hexagons of different sizes using coins (or indeed small hexagons). The first degenerate case is a single coin = 1. You can place six more coins around this one to make a hexagon with 7 coins. You can place twelve more coins around the outside of this hexagon to make a larger hexagon with 19 coins. And so on, adding another eighteen to get 37, then another twenty-four to get 61. My own illustration of this is below. |
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− | A pyramid or triangle of 703 dots made up of 296 dots on top, and a further 407 dots below. The Hebrew words in the picture are the last two words of Genesis 1:1, namely, the word for "and", and the word for "the earth" (Hebrew is written from right to left). The gematria for the words for "and" and "the earth" are 407 and 296, respectively (400+1+6, and 90+200+1+5; for further details on | + | A pyramid or triangle of 703 dots made up of 296 dots on top, and a further 407 dots below. The Hebrew words in the picture are the last two words of Genesis 1:1, namely, the word for "and", and the word for "the earth" (Hebrew is written from right to left). The gematria for the words for "and" and "the earth" are 407 and 296, respectively (400+1+6, and 90+200+1+5; for further details on gemetria, you can do your own research). The total for these two words is 407 + 296 = 703. As it happens, 703 is a triangular number, meaning simply that 703 dots form a triangle, as shown in the image. Triangular numbers can be expressed in the form 1+2+3+...+n. 703 is the 37th triangular number, 1+2+...+37 = 703. |
− | Triangular numbers have the general formula | + | Triangular numbers have the general formula n×(n+1)/2. E.g. the 37th triangular number is 37×38÷2 = 703. 37 crops up a lot here: not only is 703 is the 37th triangular number, but 407, 296, and 703 are all divisible by 37. |
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− | 37 crops up a lot here | ||
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− | == | + | == Mixes == |
− | + | [[Fan_Community#Mixes]] | |
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+ | == Remixes of Boards of Canada == | ||
+ | [[Fan_Community#Remixes]] |