Sawtooth 177
Revision as of 17:09, 28 October 2015 by Calcyman (talk | contribs) (Created page with "{{Pattern|type=Sawtooth|name=Sawtooth 177|discoverer=thunk|discoveryear=2015|pname=sawtooth177|c=177|bx=68|by=77}} '''Sawtooth 177''' is a refinement of Sawtooth 181 obtai...")
| Sawtooth 177 | |||||
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| Pattern type | Sawtooth | ||||
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| Number of cells | 177 | ||||
| Bounding box | 68 × 77 | ||||
| Static symmetry | Unspecified | ||||
| Discovered by | thunk | ||||
| Year of discovery | 2015 | ||||
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Sawtooth 177 is a refinement of Sawtooth 181 obtained by rephasing the constituent guns. It is the smallest known sawtooth in terms of its minimum repeating population of 177, though Sawtooth 201 has a significantly smaller bounding box.
The sawtooth functions by letting two glider streams of period 120 retract a block, created by collision with a spark from a 58P5H1V1, one cell at a time. The retracted block is deleted via interaction with a pentadecathlon, and the streams are allowed to return to the now-farther-away 58P5H1V1 to create another block.
Population
The population is equal to 177 at generations 0, 5760, 702720, 85034880, ..., 48 * (121^n - 1), ..., giving an expansion factor of 121.
External links
- Smaller Sawtooth thread on conwaylife.com forums.