Binary to Base 10
Below are the patterns from multiplication and division. All the points represent a number starting with 0 at the top and counting around the circle. An example of is shown above in with the numbers on the 9 point circle for our base 10 system (remember 1+0 =1 so 10 is in the "1" location. In the patterns below, I start with the number 0 on the left, so all the numbers go to 0. When you multiply any number by 0, you get 0. To the right of that is 1, and all the numbers go to themselves. The top row represents Binary (Base 2, 10 = 2). Since there is only one point, there are no patterns. The next row is Trinary (Base 3, 10 =3) and you can see that there is a very simple pattern that can be seen in that row of a vertical line, and this occurs in both directions, as we increase the number of points the same patterns reoccur in the sets that contain multiples. Notice that these circles contain a number of points that match the highest signal digit number in a base system.
In the image above you can see that as the points increase, so does the complexity of the symbols. All patterns repeat in both directions according to there multiples. Not shown above are negative numbers. Starting at Base 4 with 3 points, we can see the first set of patterns that are next to the Zero-Point. Unlike 1, -1 does not make a number go to itself, but to it's reflected number. Shown below the 3 point circles is Base 10 with 9 points.
Base 4 has 3 points.
Base 10 has 9 points.
You can also see that all the patterns of the 3 point circle occur in the 9 point circle, and this has to do with the fact that 9 is a multiple of 3.
Starting with something that gives us nothing, and this pattern is in all the following patterns. An example of this is how all the multiples of 9 have a digit sum equal to 9 and so 9 can not go to any other numbers. The dead can not come back sort of speak. 9 and 0 would represent death and potential for life. Like the compost which is death providing for life to grow, or the sexual act that leads to life. It reminds me of the Orobus where the snake eats it's own tale, and where Christ says, "I am the alpha and the omega, the beginning and the end." This is also the death of the Phoenix which dies and is reborn.
1 would be birth or the beginning of an identity. The divisions into more points allow for an increase in diversity of patterns and thus identities in a way, and each base system would have it's own way of seeing all of the numbers according to the number of points. Also, there is a form of heredity in the way that patterns reoccur in the multiples.
​
-1 would be the end of life in a way, and it reminds me of how we reflect on our lives. There is a very clear dirrection shown and the patterns do not reflect across 0. Going right is increasing and going left is decreasing, but it definitely represents the past, and we can see how things repeat, but you can not go back in the same way you lose information when multiplying by 9. If you do a digit sum of the product of two numbers and get 9, then you have no idea what that number was or which point it came from. It seems like a form of gravity or grounding, or how ripples on a pond return to stillness and a gong sound returns to silence.
These patterns occur to me as the most boring of the visual patterns I encountered, but they have an interesting philosophical symbolic nature and they seem to be the boundaries for the other interesting visual patterns, like a frame for a painting or the front and back cover of a book. Actually the really interesting thing to me was how boring they were visually. It was when I started to think about negative numbers that this set of patterns became interesting. It makes me think about the concept of the trinity and our fixation as human being with the number 3. I often think that dualities are rarely just 2, but usually contain some third neutrality of the two extremes, like the boundary between black and white is neither one.