Triangles on Earth Exceed 180 Degrees

The idea that space and time can be curved or warped is fairly recent. For more than 2,000 years the axioms of Euclidean geometry were considered to be selfevident. As those of you who were forced to learn geometry at school may remember, one of the consequences of these axioms is that the angles ot a triangle add up to 180 degrees. However, in the last century people began to realise that other forms of geometry were possible in which the angles of a triangle need not add up to i8o degrees...

 How Do Flatlanders Move?

None of this actually explains how Flatlanders move. We know various things about their locomotion; that travelling somewhere involves some form of effort, that it is harder to travel North than in other directions, especially for women, and that femails "undulate" as they travel, although this is more of a safety measure than a necessity. A mundane explanation, but one that causes a few problems, is the use of very short cilia-like mobile hairs for propulsion. This assumes that Flatland ai...

 Honour the Machine and Its Inventor

As I look round this room, at the bed, at the counterpane, at the books and chairs and the little bottles, and think that machines made them, I am glad. I am very glad of the bedstead, of the white enameled iron with brass rail. As it stands, I rejoice over its essential simplicity. I would not wish it different. Its lines are straight and parallel, or at right angles, giving a sense of static motionlessness. Only that which is necessary is there, whittled down to the minimum. There is nothin...

 Look for What Makes You Different

“Some of you think your hand in life is all deuces and treys.” At the front of the room were some really dedicated students, not much older than Juan. They were wearing, but they had no clothes sense and had never learned ensemble coding. As Chumlig spoke, you could see their fingers tapping away, searching on “deuces” and “treys.” “But I have a theory of life,” said Chumlig, “and it is straight out of gaming: There is always an angle. You, each of you, have some special wil...

 The Origin of Trigonometry

Trigonometry had to start with sea-people. It is the conclusion of British, German, and U.S.A. navies' experts that celestial—offshore—navigation be¬ gan with the South Pacific's island peoples. Much has been published on this subject. What is not as well pubHshed is the fact that the navigators on all those islands live entirely apart from the other humans in their native groups. When the supposedly God-ordained chieftain of those islands finds his prestige and popular credence declin...

 Miracles Should be Investigated to Improve Upon Them

Now, it might be true that astrology is right. It might be true that if you go to the dentist on the day that Mars is at right angles to Venus, that it is better than if you go on a different day. It might be true that you can be cured by the miracle of Lourdes. But if it is true it ought to be investigated. Why? To improve it. If it is true then maybe we can find out if the stars do influence life; that we could make the system more powerful by investigating statistically, scientifically jud...