Spacefiller 1
Revision as of 16:05, 6 September 2023 by DroneBetter (talk | contribs) (simplify with branchless trigonometric version in the manner of [https://conwaylife.com/w/index.php?title=Log(t)%5E2_growth&oldid=12791 apg's reduction] in log(t)² growth (it has generating function 2*(103+22*x-112*x²-3*x³-105*x⁴-19*x⁵+116*x⁶)/((1-x)³*(1+x)²*(1+x²)) :-))
| Spacefiller 1 | |||||||||
| View static image | |||||||||
| Pattern type | Spacefiller | ||||||||
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| Number of cells | 206 | ||||||||
| Bounding box | 29 × 43 | ||||||||
| Static symmetry | Unspecified | ||||||||
| Discovered by | David Bell | ||||||||
| Year of discovery | 1993 | ||||||||
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Spacefiller 1 is a spacefiller that was found by David Bell in September 1993. It was at one time the smallest known spacefiller, until it was surpassed by Max.
Its population in generation t is 2 t2 + 74 t + 1799 + (2 t - 127)*cos(π*t)8 - 3 cos(π*t/2). The top and bottom stretchers were created by Hartmut Holzwart, size optimization and the left and right stretchers were created by David Bell, and the original idea, middle part, and left/right stretcher connection were created by Alan Hensel.[1]
Image gallery
 Spacefiller 1 at generation 50 |
See also
References
- ↑ MAX.lif in Alan Hensel's lifep.zip pattern collection.