Well done, you tree huggers!!
Exploring the zeroth dimension
In the beginning it all looked ridiculously simple; we all one way or the other found out about this barge and clicked our way towards this voyage.
The mathematician may classify your first click as a hypercube of zero dimensions within the Euclidian space. It resembles an infinitely small spatial point without width, length, height, edges, faces, volume, area or cells.
Exploring the first dimension
Then things started to become a wee bit more serious; you remembered past trips or you were gathering all information you could get about sailing and you were making way towards the ship from all corners of the world.
If you stretch the zero-dimensional object into one direction, you create a one-dimensional shape.
The mathematician may classify this reach as a hypercube of the dimension 1 within the Euclidian space. A reach consists of an endless number of zerodimensional points which connect two end-points. It has infinitesimal width, height and no volume.
Exploring the second dimension
Sailing over the sea is closest to moving in a two dimensional space. There are no mountains to be possibly crossed or too much infrastructure to follow; you are just leaving the keelwater behind
If you stretch an onedimensional reach in another direction than the one it is leading at, you get a twodimensional rectangle, a hypercube of the dimension 2 in the Euclidian space. Rectangles have a length, a width, four corner-points, four edges and a space but no volume. If you widen the square to the infinite it covers the complete two-dimensional space.
Exploring the third dimension
Not only the ship moves over the sea but also the emotional ups and downs become more intense as you keep travelling and learning.
By moving a twodimensional square perpendicularly a threedimensinal cube is formed; a hypercube of the dimension 3 in the Euclidian space. As threedimensional object it has width, length, height, 8 cornerpoints, 12 sides, 6 areas and a cell. If you widen a cube infinitely, it will cover the whole threedimensional space
Exploring the fourth dimension
Travelling starts to change you, physically and emotionally; your old friends seem to become less open-minded than they were before because they do not have the same world-view you have gained within the last few months. You become brighter and shinier within yourself – some show it, some hide it
If you stretch a three-dimensional cube in a vertical direction you create a tesseract or a hypercube of the dimension 4. Tesseracts have 16 knots, 32 edges, 24 areas, 8 cubes and a four-dimensional cell; they have length, width and height plus an extra space-coordinate in the Euclidian space or as well a time-coordinate in the Minkowski-space (this space is necessary to measure changes in our universe which acts according to Einstein’s laws and is essential for example for GPS technology and air navigation)
If the tesseract expands infinitely it fills the complete four-dimensional space – a simplified explanation is all the space you reach when you travel perpendicularly away from the three-dimensional space
Exploring the n-th dimension
The more you travelled, the more you try to find answers to things and the more you see that this is impossible as everything is a matter of perspective. You start to accept yourself and others. You give up searching to a point and sigh and start your trip home.
If you stretch an n-dimensional hypercube in a new direction you get a (n+1)-dimensional hypercube. Which ‘space’ you want to use depends on your own intentions.
The three-dimensional space is great for carpenters, the Minkowski space for parts of astronomy but you can use any number of n to discuss about gravity or the age of the universe. String-theories need ten or eleven dimensions and quantum mechanics need an infinite space.
A 10-n-deceract hypercube has 1024 knots, 5120 edges, 11520 areas, 15360 cells, 13440 4-D-cells, 960 7-D-cells, 180 8-D-cells, 20 9-D-cells and one 10-D-cell.
I had to give you some last wise-arseing here, sorry the idea came from Christopher Many, Left beyond the horizon.
But, honest, keep all your edges, knots, areas and all your n-dimensional cells you discovered and found out on this trip!! Don’t let them take away from you ever, not from routine, not from accidents, not from partners. It is all yours and you deserve it.
I love you all and wish you all the best in the future; hope to stay in contact and to be sailing with you again!!
Hugs and kisses
“No matter how much I wanted all those things that I needed money to buy, there was some devilish current pushing me off in another direction — toward anarchy and poverty and craziness. That maddening delusion that a man can lead a decent life without hiring himself out as a Judas Goat.”
― Hunter S. Thompson, The Rum Diary