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Huh? A Model of Space, Infinity and Flow |
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Working Draft Copyright (c) 2005 - 2007 Jim Imboden |
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Chapter 4 Moving to 3 Dimensions
When not much is known about a domain of phenomena, our inability to imagine a mechanism is a rather uninteresting psychological fact about us, not an interesting metaphysical fact about the world. Patricia Smith Churchland
So far we have taken our model from one dimension to two dimensions. Now we are going to move it to three dimensions. This three dimensional model is nothing more than putting together multiple slices of our two dimensional model.
Figure 4-1 We build the first slice using a = 1 in the HUH 2 model, then set a = 2 and create the second slice and continue up to a = 10 then back down to a = 1. Fig. 4-1 shows the slices.
Figure 4-2 Figure 4-2 shows what it would look like. The offset from diameter is the same as defined in Fig. 2-7 in chapter 2. Each slice follows the offset z = a – y.
Figure 4-3 Figure 4-2 is created only moving [X] in the plus direction and only half of that shape is plotted, from a=10 to a=1. Figure 4-3 shows what the shape is when we go both [X] plus and [X] minus, we get two half’s stuck together as seen in Fig. 4-3 (top). Fig. 4-4 (bottom) shows what each piece looks like when separated.
Since we are working with a sphere the distance around the equator of each is pi x diameter, and we get two portions because we are going plus pi and minus pi distance (see radians in chapter 2). Again, this is only half of the model. It is cut away to see inside.
Figure 4-4
As you can see in Figure 4-4 the full and ¾ portions of the model, while strange, appear anything but beautiful. As we move on to explore the model and its complexities, it all comes from y = a^3/(a^2 + x^2).
Figure 4-5
Figure 4-5 (left) shows the tidiness of using 2 pi, while the 2nd unit of pi gets compressed it still connects up with the opposite side. Figure 4-5 (right) shows what the model would look like with 1.5 pi units, it doesn’t connect.
Figure 4-6
Figure 4-6 shows 5 pi units of [X] put into the model. As I increase the units of pi the diameters get tighter and tighter around a core. The model goes to this core diameter then starts building out. As [X] increases the outer shell of the core starts slowly growing.
Figure 4-7
If there are opposite flows of [X] then the model produces two parts of the model as shown in Fig. 4-7. If there are three flow directions our model will look like Fig. 4-4. So far we have only talked about two directions plus and minus [X], and the way I’ve presented them they could be polarity. Actually a better way to think of them is “flow” or flow direction. Chapter 5 is about “Flow”.
Click on one of the six pictures below to see animations.
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