I've been reading an incredible book by Arthur C. Clarke and Stephen Baxter called Time's Eye, which is Book One in their Time Odyssey Series. The premise is simple, insrutable aliens with unimaginable technology have taken pieces of Earth from various different eras ranging from 2,000,000 BC to 2037 AD, and have assembled a planet dubbed by a Russian Cosmonaut called Mir.
I've Thought I might do a similar sort of world right here.
We start with the Earth X867600-8, this is the basic traveller stats of this world, its been jumpled together from different eras of Earth in a series of hexagonal sections extending from at least low orbital space to well beneath Earth's crust. Since the resulting planet is not quite Earth we dub it Mir, after the Russian word for Peace.
I use the following mapping conventions:
Lets start with the World Worksheet in the back of the Traveller Handbook T20, that is on page 441 in my copy. There is a polygonal geodysic map of a planet's surface on the top, and this map divides the planet's surface into 20 triangular faces, if you were to cut this out and fold it up along the edges of the triangles, it would take the shape of a 20-sided die.
Now for the standards:
I lable the faces of this polygonal map with roman numerals I through XX, these are the points on Earth's surface that make up the twenty triangular faces of the polygonal map in latitude and logitude:
I -------------- V -------------- IX -------------- XIII -------------- XVII
North Pole ------ North Pole ------ North Pole ------ North Pole ------ North Pole
144 E, 30 N ----- 144 W, 30 N ---- 72 W, 30 N ----- 0 W, 30 N ----- 72 E, 30 N
144 W, 30 N ---- 72 W, 30 N ----- 0 W, 30 N ------ 72 E, 30 N ----- 144 E, 30 N
II -------------- VI -------------- X -------------- XIV -------------- XVIII
144 E, 30 N ----- 144 W, 30 N ------ 72 W, 30 N ------ 0 W, 30 N ------ 72 E, 30 N
144 W, 30 N ---- 72 W, 30 N ------- 0 W, 30 N ------- 72 E, 30 N ------ 144 E, 30 N
180 W, 30 S ---- 108 W, 30 S ------ 36 W, 30 S ----- 36 E, 30 S ------ 108 E, 30 S
III ------------- VII -------------- XI -------------- XV -------------- XIX
144 W, 30 N ----- 72 W, 30 N ------ 0 W, 30 N ------ 72 E, 30 N ------ 144 E, 30 N
180 W, 30 S ---- 108 W, 30 S ------ 36 W, 30 S ------ 36 E, 30 S ----- 108 E, 30 S
108 W, 30 S ---- 36 W, 30 S ------- 36 E, 30 S ------ 108 E, 30 S ----- 180 W, 30 S
IV ------------- VIII ------------- XII -------------- XVI -------------- XX
180 W, 30 S ----- 108 W, 30 S ------ 36 W, 30 S ------ 36 E, 30 S ---- 108 E, 30 S
108 W, 30 S ------ 36 W, 30 S ------ 36 E, 30 S ------- 108 E, 30 S ---- 180 W, 30 S
South Pole ------- South Pole ------- South Pole ------ South Pole ---- South Pole
Doing the math, Earth has a radius of 6,378.14 km, half the circumference of this planet is radius * Pi = 20,037.518 km, the height of each of the triangular faces is 20,037.518 km / 3 = 6,679.17 km, to get the width of each hex, each triangle is 7 hexes in height according to the map, so the hex width is 6,679.17 km / 7 = 954.17 km wide, that is from corner to corner. To get smaller hexes, we go to the Advanced Combat Megahex on page 171 of the Traveller handbook and from corner to corner, there are 26 hexes in a megahex, thus 954.17 km / 26 = 36.7 km or width for each megahex. These small hexes are what we will use for determining which random time periods to represent for each hex.
Now lets assume we determine the year of each hex randomly generating a random number from -2,000,000 to 2037, with an equal chance of getting any of the years within this range. We must calculate how many of these small hexes it would take to cover the entire surface of the Earth, and this will determine how many of these hexes will likely be of a recent time period.
I don't have the formula for determining the surface area of sphere in front of me right now. I shall look it up, but in the mean time, if anyone can calculate the surface area of Earth and divide it by the area of one of these small hexes which are 36.7 km from corner to corner, I will appreciate it. Once we have that number of hexes, we can deduce how many of those hexes statistically will be from time periods within 100 years, 500 years, 1000 years, and 6000 years just to make it interesting.
I've Thought I might do a similar sort of world right here.
We start with the Earth X867600-8, this is the basic traveller stats of this world, its been jumpled together from different eras of Earth in a series of hexagonal sections extending from at least low orbital space to well beneath Earth's crust. Since the resulting planet is not quite Earth we dub it Mir, after the Russian word for Peace.
I use the following mapping conventions:
Lets start with the World Worksheet in the back of the Traveller Handbook T20, that is on page 441 in my copy. There is a polygonal geodysic map of a planet's surface on the top, and this map divides the planet's surface into 20 triangular faces, if you were to cut this out and fold it up along the edges of the triangles, it would take the shape of a 20-sided die.
Now for the standards:
I lable the faces of this polygonal map with roman numerals I through XX, these are the points on Earth's surface that make up the twenty triangular faces of the polygonal map in latitude and logitude:
I -------------- V -------------- IX -------------- XIII -------------- XVII
North Pole ------ North Pole ------ North Pole ------ North Pole ------ North Pole
144 E, 30 N ----- 144 W, 30 N ---- 72 W, 30 N ----- 0 W, 30 N ----- 72 E, 30 N
144 W, 30 N ---- 72 W, 30 N ----- 0 W, 30 N ------ 72 E, 30 N ----- 144 E, 30 N
II -------------- VI -------------- X -------------- XIV -------------- XVIII
144 E, 30 N ----- 144 W, 30 N ------ 72 W, 30 N ------ 0 W, 30 N ------ 72 E, 30 N
144 W, 30 N ---- 72 W, 30 N ------- 0 W, 30 N ------- 72 E, 30 N ------ 144 E, 30 N
180 W, 30 S ---- 108 W, 30 S ------ 36 W, 30 S ----- 36 E, 30 S ------ 108 E, 30 S
III ------------- VII -------------- XI -------------- XV -------------- XIX
144 W, 30 N ----- 72 W, 30 N ------ 0 W, 30 N ------ 72 E, 30 N ------ 144 E, 30 N
180 W, 30 S ---- 108 W, 30 S ------ 36 W, 30 S ------ 36 E, 30 S ----- 108 E, 30 S
108 W, 30 S ---- 36 W, 30 S ------- 36 E, 30 S ------ 108 E, 30 S ----- 180 W, 30 S
IV ------------- VIII ------------- XII -------------- XVI -------------- XX
180 W, 30 S ----- 108 W, 30 S ------ 36 W, 30 S ------ 36 E, 30 S ---- 108 E, 30 S
108 W, 30 S ------ 36 W, 30 S ------ 36 E, 30 S ------- 108 E, 30 S ---- 180 W, 30 S
South Pole ------- South Pole ------- South Pole ------ South Pole ---- South Pole
Doing the math, Earth has a radius of 6,378.14 km, half the circumference of this planet is radius * Pi = 20,037.518 km, the height of each of the triangular faces is 20,037.518 km / 3 = 6,679.17 km, to get the width of each hex, each triangle is 7 hexes in height according to the map, so the hex width is 6,679.17 km / 7 = 954.17 km wide, that is from corner to corner. To get smaller hexes, we go to the Advanced Combat Megahex on page 171 of the Traveller handbook and from corner to corner, there are 26 hexes in a megahex, thus 954.17 km / 26 = 36.7 km or width for each megahex. These small hexes are what we will use for determining which random time periods to represent for each hex.
Now lets assume we determine the year of each hex randomly generating a random number from -2,000,000 to 2037, with an equal chance of getting any of the years within this range. We must calculate how many of these small hexes it would take to cover the entire surface of the Earth, and this will determine how many of these hexes will likely be of a recent time period.
I don't have the formula for determining the surface area of sphere in front of me right now. I shall look it up, but in the mean time, if anyone can calculate the surface area of Earth and divide it by the area of one of these small hexes which are 36.7 km from corner to corner, I will appreciate it. Once we have that number of hexes, we can deduce how many of those hexes statistically will be from time periods within 100 years, 500 years, 1000 years, and 6000 years just to make it interesting.
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