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On the other hand, it is probable that a considerable number of the 10,000 stars lie at a distance at least one-half greater than that of the radius of the sphere. On the whole, it seems likely that, out to a distance of 300 or even 400 light-years, there is no marked inequality in star distribution.

Think of a barrier of pure force, impalpable, immaterial, and exerted along a geometrical surface of no thickness whatever and yet actual enough to stop even a Millikan ray that travels a hundred thousand light-years and then goes through twenty-seven feet of solid lead just like it was so much vacuum! That's what we're up against! However, I'm going to try out that model, Mart, right now.

This determination shows Betelgeuse to be 160 light-years from the earth. On December 13, 1920, Mr. Pease successfully measured the diameter of Betelgeuse with the 20-foot interferometer.

The universe was a small affair for the men of that time and the little planet we call the earth and live upon was the center of all things. We who think in terms of light-years, and nebulae in which our solar system could be lost, and huge constellations far off in the pathless void, realize that we have outgrown even the imagery of this apocalyptic poem.

But he knew this much; when the ship generated the frequencies which accelerated it beyond the speed of light, in effect the ship went into a sort of fourth dimension, and came out of it a good many light-years away. As far as Bart knew, no human being had ever survived warp-drive except in the suspended animation which they called cold-sleep.

As they traveled their detecting receivers and amplifiers were reaching out with their utmost power; ultra-instruments capable of rendering audible any signal originating within many light-years of them, upon any known frequency. And constantly at least two men were listening to those instruments with every sense concentrated in their ears.

The second, twelve light-years away, will probably contain, besides these two, six other stars, making eight in all. The third may contain twenty-one more, making twenty-seven stars within the third sphere, which is the cube of three. Within the fourth would probably be found sixty-four stars, this being the cube of four, and so on.

Of course this is somewhat farther than we had planned on going for our maiden voyage, but where is the difference? It is just as safe to go a thousand light-years as only one, and we have power and food for any contingency. There is no more danger in this trip than there is in one to Mars. At all events, I am going whether you want me to or not, so save your breath."

By the time we'd get to where he's been reported, he'd be a couple of thousand light-years away," he said disgustedly. "I agree; we ought to give the men a chance to get off the ship, here. We can stall this pair along for a while and we won't have any trouble with them." The three ships were slowly converging toward a point fifteen thousand miles off-planet and over the sunset line.

"You probably are of course you are wrong," his host made a startling answer. "It is practically certain it is almost a demonstrable mathematical fact that no other sun within hundreds of thousands of light-years of our own has a planet. In all probability Nevia is the only planet in the entire Universe. We are the only intelligent life in the Universe.