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Dan Ellwein
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Ridgeland, MS

Registered: May 2004
Posts: 32

A comment about Page 56 - Rule 151

http://www.wolframscience.com/nksonline/page-56

page 56 of the book shows this for rule 151:

Step 1
1

Step 2 - 3 black cells
111

Step 3 - 5 black cells
11111

and so forth, showing all black cells...

According to rule 151 {1,0,0,1,0,1,1,1} shouldn't step 3 look like this:
10101

Am I missing something or not looking at this right?

Thanks,

Dan Ellwein

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Tony Smith
Meme Media
Melbourne, Australia

Registered: Oct 2003
Posts: 168

No it doesn't

Both online and in print, page 56 correctly shows Rule 151 going from a single black cell to a complete black line and staying black.

It is one of several rules where a single black cell gives no hint of the richer patterns from more complex starting patterns.

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Todd Rowland
Wolfram Research
Maryland

Registered: Oct 2003
Posts: 113

Because 151 is odd, it turns the white background into a black background on a single step, and since it is >=128, once there is an all black background, the background stays all black.

On a white background, {1,1,1} turns into {1,0,1,0,1} on the next step but after the first step the background is black not white.

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