Geometry of Dwaia

The World of Dwaia is like a planet, but in the shape of a cube. As such, it features 6 Great Planes (faces), 8 Great Peaks (vertices) and 12 Great Ridges (edges). Only one of the Great Planes is currently understood. This plane, known as the First Plane, contains the Land of Dwaia, Grassia, Cowboland, The Deep Bogh, as well as other countries. Estimates of the size of Dwaia indicate it has a width of about 90 thousand kilometers, though the region explored so far is less wide than that.

How to calculate the size of Dwaia

• 1. Smell, using a precise smelloscope.
• 2. Walk in a straight line of 1 kilometer.
• 3. Smell again.

Subtract smell 1 from smell 2 in order to get the smellic difference. Then, from this difference, extract the cubal displacement. Using the the cubal displacement, we can now calculate Dwaia's width in kilometers as:

where C is the Cube constant, and d is the cubal displacement. More precise calculations can be done by employing a smelloscope with a higher accuracy, or by walking more than 1 kilometer in step 2. It should be noted that if one walks 10 kilometers instead, for example, the computed distance will be in tens of kilometers, as opposed to single kilometers.

Statistics

Because Dwaia is a cube, the Great Ridges are all the same length of 91,864 kilometers. The surface of every one of the square-shaped Great Planes, therefore, is 8.4 billion square kilometers, making the total area of Dwaia equal to 50.6 billion square kilometers. Dwaia's volume, then, if we assume it is not hollow, is equal to exactly 775 trillion cubic kilometers.

Geography

In geographical considerations, Dwaia is often divided into hemicubes. A hemicube consists of a great plane, as well as the adjacent halves of all four great planes adjacent to the first one. Any hemicube has half the area of Dwaia, thus measuring 25.3 billion square kilometers. Two "opposite" hemicubes make up the whole of Dwaia, and do not overlap. Therefore two opposite hemicubes share a single border, which goes right through the middle of four planes. The Royal Geographical Society of Cowboland recognizes the following hemicubes:

Hemicube	Opposite Hemicube	Border
Northern Hemicube	Southern Hemicube	Equator
Western Hemicube	Eastern Hemicube	Prime Meridian
First Hemicube	Last Hemicube	Second Meridian

The First Hemicube is the one that contains the entirety of the First Plane. The Last Hemicube, therefore, does not touch the first plane at all, and covers the entirety of the Last Plane. Any two separate hemicube borders cross at two opposite points of Dwaia's surface, at right angles. Of particular note is that the equator and prime meridian cross at the capital city of the Land of Dwaia. The Second Meridian does not cross the First Plane at all.

The Planes

The 6 planes are as follows:

The First Plane, where most current known locations are.

The Second Plane. The farther west we go, the less continents and islands we encounter. Thus it is assumed this is a realm of ocean. Colloquially known as the Plane of Water.

The Third Plane. The farther north we go, the colder and windier it becomes, so, while no one has explored there yet, it is assumed this is a realm of ice. It is colloquially known as the Plane of Air.

The Fourth Plane. The farther east we go, the more arid the conditions become. Therefore it is assumed this is a realm of sprawling rocky plains. Colloquially known as the Plane of Earth.

The Fifth Plane. The farther south we go, the hotter it gets. Unlike the others, this plane has been directly observed to be a realm of magma. Colloquially known as the Plane of Fire.

The Last Plane. Not much can be inferred about this place, but it can be assumed that the climate is similar to that of the First Plane. Colloquially known as the Unseen Plane.

It is not expected that there is much life on the Second and Third planes. The Scientific Council of Grassia has stated that "the expected conditions are unsuitable for the persistence of life as we know it, though life may still exist there in some novel form." Although Fire-based life has been discovered on the Fifth Plane, and possibilities of life on the Fourth and Last planes are viewed more optimistically by the scientific community. As Jim-Bob, PhD put it, "If them heat boys down under and them cold ones up north go loop de loop then I would count my yeehaws and say that life in the unseen could be darn tootin true."