Wednesday, 16 April 2014

Yet more problems for Iovandrake

As we saw in the last post, there was a marked difference between the areas of our flat circles and our hemispheres.
Indeed, there were greater differences between the flat worlds and the spherical one.

We also know that for the land masses to be the same on both, they must have the same area.
(We'll ignore the insurmountable problem of them needing the same dimensions - lengths of sides and angles - for the moment.)

The accepted land mass area of the earth is roughly 148,940,000 km^2. The accepted land mass area minus Antarctica is roughly 134,980,000 km^2.
The area of the seas is accepted as roughly 361,132,000 km^2.
Land, minus Antarctica, makes up about 26.5% of the surface area of the spherical earth.

Whacking the same land mass size (minus Antarctica) into the first hemisphere, with its total area of 255,036,000 km^2, we find that the land makes up nearly 53% of the total area.
This leaves the seas to take up a piddling 120,056,000 km^2.
Which means flat Earthers would expect us not to notice that 241,076,000 km^2 (almost 67%) of the water surface of earth is missing, from the spherical model to the more convenient (for them - or so they misguidedly believe) hemispherical one.

But it gets even worse.

On the flat earth, with its total area of 314,284,941 km^2, the land masses now occupy around 43% of the Earth's surface.
This leaves only 179,304,941 km^2, for the water surface of their world.
This means that they expect us not to notice that 181,827,059 km^2 (over 50%) of the water surface on earth is missing.

Even giving them the benefit of the hemispherical model, they still expect nobody to notice a difference of 59,248,941 km^2 of water surface between the 2 models. To put it into perspective, that's an area equivalent to over 6 times the size of the USA.
Which we're not meant to notice.

But hang on, couldn't Antarctica account for that area?
Well.... No.
That would mean that the radius from the center of the flat Earth to Antarctica was 9,012 km^2.
The accepted distance between South Africa and Antarctica is around 4000 km, leaving the Southern tip of Africa to be around 5000km from the center. However, Africa is 8000 km from its northernmost tip to its southernmost - so now not only does the southern sea have to squeeze into a space of 1000 km (1/4 it's accepted size), it even has to share that available space with Europe to the north of Africa.
That is a remarkable feat.
The problem is that whatever area we give Antarctica on the rim of the flat Earth, this compresses the area left over inside for the rest of the Earth to take up. This means we would notice a difference in the meridional lengths of all the land masses.

Things get even funnier when we use the second hemisphere and flat circle from the last post, in order to stop this compression of the meridian lengths of the land masses.

Our land masses now comprise only just over 13% of the total surface area of the hemisphere and under 12% of the total surface area of the flat Earth. That translates to the seas taking up 884,020,000 km^2 of the hemisphere's surface area and 999373721.55 km^2 of the flat Earth's surface area - a difference of 115,353,721.55 km^2, or just under 12 times the area of the USA. Which, again, we're not meant to notice somehow.

Further more, that's a whopping difference between this flat Earth and the spherical earth of 638,241,721.55 km^2 - making the water surface area of this flat Earth over 2.7 times as large as it is on the spherical Earth. This is an area the size of 65 USA's! Again, flat Earthers don't think we'd notice the effect this extra surface water area would have on the distance between the land masses.

Clearly the distances between land masses will be significantly different between the 2 models, no matter how flat Earthers will try and swing it.

We shall continue to explore the problems with this claim of Iovandrake's and go on later to show how we can take simple measurements to determine which model is correct.

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