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Assured that the regular pilots and lookouts were fully capable of handling the vessel, the scientists were about to resume their interrupted tasks when one of the photographers called them over to look at something he had discovered in one of the lowermost and smallest compartments of the heptagon.

Finally, when the pictured edges were about to cease moving across the finely-ruled lines, Brandon cut down his own acceleration a trifle, and kept on decreasing it at such a rate that the heptagon still crept up, foot by foot. "Hey what's the big idea?" Stevens demanded. "Coax 'em along. If we run away from them they'll probably reverse power and go back home, won't they?

There were so many chambers and compartments in the heptagon that it had, of course, been impossible to puncture them all, and in some of the tight rooms were groups of hexans, anxious to do battle. But the general's eye led his men, and if such a room lay before them, Brandon's frightful beam entered it first and where that beam entered, life departed.

Both men stared at the heptagon, frankly puzzled; for the screens of the strange vessel did not radiate, nor did the material of the walls yield under the terrible force of the beam. The destructive ray simply struck that dull green surface and vanished disappeared without a trace, as a tiny stream of water disappears into a partially-soaked sponge.

Four plunger switches closed, that tiny pilot ray became an enormous rod of force, and as those two gigantic beams met in exact opposition and neutralized each other, a solid wall of blinding brilliance appeared in the empty ether behind the Vorkulian fortress. As that dazzling wall sprang into being, the sparkling green protection died from the walls of the heptagon. "Go to it, Quince!"

As the howling wail came to a climax in a blast of sound Kromodeor threw over a lever, as did every other projector officer in every other heptagon, and there was made plain to any observer the reason for the burns and scars in the tortured space between the lofty inner and outer walls of Vorkulia.

Q. Are there more than one sort of hexagons? A. Yes, there are regular and irregular. Q. What is a regular hexagon? A. When the sides and angles are all equal. Q. What is an irregular hexagon? A. When the sides and angles are not equal. Hept-agon. Q. What is this? A. A regular heptagon. Q. Why is it called a heptagon? A. Because it has seven sides and seven angles.

Of course, the more power they waste on us, the quicker we can take them; but I don't want much more of that beam, I'll tell the world I just about had heart failure before they cut off!" The massive heptagon was now drifting back toward Jupiter at constant velocity.

No. 8 monitor has on his post a set of geometrical figures, illustrated by the representation of objects either natural or artificial of the same shape; thus a triangle illustrated by one side of a pyramid, a square, a pentagon, a hexagon, a heptagon, an octagon, a nonagon, a decagon.

Flashing a minute pencil behind the huge heptagon, Brandon manipulated his tuning circuits until a brilliant spot in space showed him that he was approaching resonance with the heptagon's power beam. Micrometer dials were then engaged and the delicate tuning continued until the meters gave evidence that the two beams were precisely synchronized and exactly opposite in phase.