A mathematical survey of the Crenosphere

by Joel Akin

July 18, 2005

Crenosphere is a specific term used by www.monolithic.com All rights to this term belong to them. The ideas used in this article are my own.

A long time ago domes were all the rage. If we look at society in the Roman Architecture up into the present domes were and are the centerpieces of mankind's achievements. When I think of the Crenosphere I think of the perfection of large dome systems. They are and were created equal, as it were, to the understanding of the perfection of building structures. When we look at the Crenosphere we have an understanding of huge domes and the architecture that goes into them. For example the Crenosphere has an architectural achievement based on the solidarity of the arc or the remaining arc types of the systems of arcing. I speak of arc as a choice of understanding. We can pick up a hoop and place half of it in the ground and we have the basic understanding of the arc system. The perfection of the arc is the essential understanding behind the Crenosphere. When you look at an arc you can see that it plays the hemispheric sameness, if you will, if the earth. The earth itself has a dome shaped sky and wherever you travel on the earth you will still see the sameness of the hemispheric dome shape. We don't really 'notice' the arc because of its size but all planets, round ones that is, are based on the hemispheric arc shape. If you look at a planet from space you often will notice its arc. Most planets have the shape of a ball but balls are usually bounced up and down. They don't rotate on their access unless you roll them along the ground. At that time the arc or the arch of the ball rotates along its axis. The axis changes depending on the 'way' you are situated. For example if you put an x on the ball and roll it the X location will always change depending on where and how you roll it. The arc of a dome such as the Crenosphere is always the x location times the arc of the shape of the dome. Sometimes the x is at the bottom and sometimes its at the top. If you could roll the Crenosphere, as in a perfect circle, you would find the x is always centered according to the location of the top of the arch.

For example when you look up at the top of the sky from your backyard you always see things based on the perfection of your understanding. You always see things from the same location. For example you can stand in the backyard and you have a fence, trees, a house or garage in the same place. They are like the x on the ball. But the sky above is constantly rotating just as is the universe, if you will. So how can you make an arch? Simply by knowing where the x is at all times. We can know the location of the x on the chart by placing the x on a piece of paper and making the earth flat. Then you can say that the earth has four corners. By looking at the earth this way you can then understand that the earth doesn't really flatten out very well. But you still have an x that locates where you are but it varies according to the observer and according to the observation and according to the dimension by which you view it. Flattening the earth out is not an easy thing to do so whey then do we see the earth as being flat from our perspective on the x? Especially if we are on a huge ball that is constantly rotating?

Lets stop the ball and locate the axis of the x. Create an imaginary circle so that it completes the hemispheric points. Cut the ball in half and you now have a dome shape. Now, how do you then deal with the bottom half? Simply by marking an X on the middle portion of the ball in its flat point. Now you have the bottom of the arch at its exact center. Take the new X point and measure from the top of the arch to the flat part at the bottom. This would be the dimensional center point of the arch. It would locate its height and give you the circumference reference point. If I take the circumference of the arch all I have to do is break it down into quarters. Or the four corners if you will. From the center I move to each corner and measure each point. So for example if I had a foot wide ball and an X at the center then each point would be divided by a 25% ratio. The ratio then becomes the percentage of the width times the ratio of the dimension.

Now if I hope to do the height of the dome I then have to figure out the dimension of the width. Now the Crenosphere system does work a little bit differently then this. Though it is possible to understand it based on the perfection of the arch the Crenosphere works on a flattened G Dimension. The G would be the ground and the Ball would be more oblong. So the height of the ball would be half its circumference. This would be more like the earth which is considered to be pear shaped. This actually is the natural inclination of a huge hemispheric arch. It tends to flatten out at the poles because of the huge size. The larger the size the more noticeable the bulge would be. If you take the perfection of the circle you can change the shape towards the ball by simply flattening out the locality of the end pieces. The end shape is thus oblong like an egg. The total overall effect is still dome shaped though not 'round' per se. Now if we look at the Crenosphere we have a shape which is flattened and can be flattened from the top down like letting a circus tent down at the center pole. The difference is that you don't need the pole to hold up the 'tent' you just need an equator which is stable and firmly grounded.

The circumference of the entire structure is then founded on a ring like structure. The rings would be placed in the ground and then built towards the center. It is a justifiable idea and it makes the center the locus or the focal point for the joining of the entire structure. This then allows the structure to be built as if the 'leaning' was towards the center but each part of the structure would also be firmly rooted in its own right. Various types of domes could be created in this way but this is probably the easiest way to understand how a Crenospheric dome could be created.