What happens when we face a model which has some special requirements beyond the amount of points, but it requires careful distribution them. If we take time to think and review what we have so far (looking from the point of view of this Blog), we realize that we have used only bases known and that we have to act together but we worry more than the amount of tips given to us and a little space between them, but can we handle lengths of a base that we want to build?
outlets will call those points which is releasing a flap in our role.
start with a triangle, how to hit this figure is quite simple and consists of double their bisectors and exit points are given by the line perpendicular to its sides running from the incenter.
In fact, there is the only way to fold a triangle, but it is the only way to fold and lay flat or in other words that the segments are released on same route and that's what matters to us. The fold that we have generated is well known and for which no know by naming a subject made him rabbit ear fold. The sequence and the triangle shown are just to make a generalization, but from this fold can build all the traditional bases.
If we take a unit square and apply the same system, either by dividing it into triangles or quadrilateral is possible to flatten no problem, now can we handle the length of the square?
It should be clear that the action of handle lengths are generated entirely separate segments, this means that a segment is the result of another. Look at the base fish and have taken note as its fundamental and scale have reduced progressively to 0 and I managed to pump the water base.
"Interesting or obvious?
If we isolate the figure is easy to see what happens and how it behaves the starting point that keeps coming from the incenter.
Normal
What we have done is just a special, but gives us an idea of \u200b\u200bhow a segment influences the other and also give us light of the elements necessary to achieve a generalization, now do the same with the bird base.
Taking any quadrilateral bisectors with arriving at a single point in it then it is possible to assemble the same way that the water pump base.
look at the diagrams of circles for our ring, we can see in the first circles are tangent between them indicating the range of each point in the second figure we see that the tangent points on the circumference entered in the ring are the same that surround the act of the segments.
Now we see that within the same ring can enter different types of diagrams of circles tangent to each other.
will choose one at random and we will comply with the conditions laid down by the circles
We see that the guidance we have chosen is entirely possible to fold, and although it's a little careful bending of this, the advantages in the distribution of segments is important. It is important to note that this is not the only way to get this same distribution, but if I personally like. Now, if we look at the plane of the structure that we generated observe that the lengths of the segments are directed from the tops of the triangles in the center of the structure and that if this works the same way that the systems in 22, 5 degrees described in previous entries compensation with triangles.
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