(Page 0225) It turns out that they do not. And indeed the picture on the next page shows one of many examples in which starting from random initial conditions there continues ...

(Page 0250) Sensitivity to Initial Conditions In the previous section we identified four basic classes of cellular automata by looking at the overall appearance of patterns ...

(Page 0307) further. And then in the first case, the subsequent motion looks quite random. But in the second case it is fairly regular. So why is this? A little analysis ...

(Page 0411) So just how does this angle show up in actual plant systems? As the top pictures below demonstrate, the details depend on the geometry and relative growth rates ...

(Page 1078b) Notes for: Processes of Perception and Analysis | Visual Perception Moire patterns The pictures below show moire patterns formed by superimposing grids of points ...

(Page 1184g) Notes for: The Principle of Computational Equivalence | Intelligence in the Universe Purpose in archeology Ideas about the purpose of archeological objects most ...

(Page 0089) The picture below shows an example of a sequential substitution system in which the rule specifies simply that the first sequence of the form "BA" found at each ...

(Page 0122) The example just given involves numbers with fractional parts. But it turns out that similar phenomena can also be found in systems that involve only whole ...

(Page 0132) The Sequence of Primes In the sequence of all possible numbers 1, 2, 3, 4, 5, 6, 7, 8, ... most are divisible by others -- so that for example 6 is divisible by 2 ...

(Page 0314) the past taken as one of the key pieces of evidence for the idea that simple laws of nature could exist. But calculations imply that sensitive dependence on ...