With two "dots" (or "anything") a distance has arisen.

Then the mind thinks several dots, which must be located elsewhere than the first two. Several distances emerge - and also dimensions.

1.9.0-1 The two dots have a distance between them. Thus, for the very first time, the world has become one-dimensional. A line can be drawn between the two dots:

1.9.0-2

1.9.0-3 The mind has become known with "distance", but so far only with a single distance. The third dot will appear at the same distance to both the first and second dot, simply because it is possible - the only possible:

1.9.0-4

1.9.0-5 We have got a triangle where all the sides are the same length, because the mind only knows a distance, a length. At the same time, a surface has emerged, ie two dimensions.

1.9.0-6 Where should the fourth dot be located? It is impossible to place the fourth dot with the same distance to the three that are already there - unless it is placed in a new dimension so that a pyramid is formed where all the sides are the same length:

1.9.0-7

1.9.0-8 When the third dot appeared, one dimension became two, one surface. With the fourth dot, the room with its three dimensions arises. It had to be that way. In order for the fourth dot to be placed (conceivably) at equal distances to the existing ones, an additional dimension was required, not only X and Y, but also Z.

1.9.0-9 Even with just four dots, consciousness has gained the experience of a three-dimensional space.

1.9.0-10 The next dot is interesting. With it, a new, deviating distance is introduced.

1.9.0-11 With the knowledge the mind possesses, the dot should be placed at the known distance from all the dots that form the pyramid. But it is impossible. The pyramid consists of four dots. No matter where the fifth dot is placed, it is only possible to achieve equal, known distance to three of the dots. The distance to the last dot is always different, larger:

1.9.0-12

1.9.0-13 This next expansion (the notion of the fifth dot) thus introduces no new, fourth, dimension - but instead a new distance within the three existing ones.

1.9.0-14 Here you have the same demonstrated with q-tips:

1.9.0-15

1.9.0-16 When we are now going to introduce a dot number six, seven, eight, etc., it becomes increasingly difficult to draw a comprehensible three-dimensional figure. The point is that a number of new distances, unknown to the mind, are emerging. Let us therefore relate to only two dimensions, ie see what happens if all the dots are on a surface, e.g. a sheet of paper:

1.9.0-17 First we have the figure we made with q-tips, seen directly from above. You see the original distance A and the new one that arose B, in red (click on the images to see larger versions):

1.9.0-18

1.9.0-19 The idea now knows two distances, A and B, and must use this knowledge to imagine the next expansions / projections / notions / ideas / dots - choose the word you want.

1.9.0-20 Based on each of the existing dots, the mind thinks of new dots - at a distance that is known. From the upper, right part of the figure, new dots should appear. This can happen in several ways, but let us take the most obvious, that a dot is formed that has the distance A (black) to the existing dots 2 and 4, and that a dot is also formed that has the distance B (red) to the same dots:

1.9.0-21

1.9.0-22 The result is that there are two dots, 5 and 6, and another distance, C (blue).

1.9.0-23 The complexity is quickly becoming enormous. I will not try to describe in words what happens in the next steps. When the next three dots appear (7, 8 and 9), five new distances appear, so that there are eight in total.

1.9.0-24

1.9.0-25 Here you see the distances laid next to each other:

1.9.0-26

1.9.0-2

1.9.0-3 The mind has become known with "distance", but so far only with a single distance. The third dot will appear at the same distance to both the first and second dot, simply because it is possible - the only possible:

1.9.0-4

1.9.0-5 We have got a triangle where all the sides are the same length, because the mind only knows a distance, a length. At the same time, a surface has emerged, ie two dimensions.

1.9.0-6 Where should the fourth dot be located? It is impossible to place the fourth dot with the same distance to the three that are already there - unless it is placed in a new dimension so that a pyramid is formed where all the sides are the same length:

1.9.0-7

1.9.0-8 When the third dot appeared, one dimension became two, one surface. With the fourth dot, the room with its three dimensions arises. It had to be that way. In order for the fourth dot to be placed (conceivably) at equal distances to the existing ones, an additional dimension was required, not only X and Y, but also Z.

1.9.0-9 Even with just four dots, consciousness has gained the experience of a three-dimensional space.

1.9.0-10 The next dot is interesting. With it, a new, deviating distance is introduced.

1.9.0-11 With the knowledge the mind possesses, the dot should be placed at the known distance from all the dots that form the pyramid. But it is impossible. The pyramid consists of four dots. No matter where the fifth dot is placed, it is only possible to achieve equal, known distance to three of the dots. The distance to the last dot is always different, larger:

1.9.0-12

1.9.0-13 This next expansion (the notion of the fifth dot) thus introduces no new, fourth, dimension - but instead a new distance within the three existing ones.

1.9.0-14 Here you have the same demonstrated with q-tips:

1.9.0-15

1.9.0-16 When we are now going to introduce a dot number six, seven, eight, etc., it becomes increasingly difficult to draw a comprehensible three-dimensional figure. The point is that a number of new distances, unknown to the mind, are emerging. Let us therefore relate to only two dimensions, ie see what happens if all the dots are on a surface, e.g. a sheet of paper:

1.9.0-17 First we have the figure we made with q-tips, seen directly from above. You see the original distance A and the new one that arose B, in red (click on the images to see larger versions):

1.9.0-18

1.9.0-19 The idea now knows two distances, A and B, and must use this knowledge to imagine the next expansions / projections / notions / ideas / dots - choose the word you want.

1.9.0-20 Based on each of the existing dots, the mind thinks of new dots - at a distance that is known. From the upper, right part of the figure, new dots should appear. This can happen in several ways, but let us take the most obvious, that a dot is formed that has the distance A (black) to the existing dots 2 and 4, and that a dot is also formed that has the distance B (red) to the same dots:

1.9.0-21

1.9.0-22 The result is that there are two dots, 5 and 6, and another distance, C (blue).

1.9.0-23 The complexity is quickly becoming enormous. I will not try to describe in words what happens in the next steps. When the next three dots appear (7, 8 and 9), five new distances appear, so that there are eight in total.

1.9.0-24

1.9.0-25 Here you see the distances laid next to each other:

1.9.0-26