Natural oscillators above period 3

This page documents all oscillators with period 4 or greater that have occurred in the C1 and/or G1 censuses on the Catagolue, ordered by frequency. The most common variant is used for the image, and the cheapest for the synthesis cost.

The following are excluded:

• Trivial p6 oscillators consisting of p2 and p3 components.
• Pentadecathlon pairs other than bi-pentadecathlon 1 and skewed bi-pentadecathlon 1.
• Pentadecathlon eating something with an eater 1 edge, even though the rotor is technically different from a pentadecathlon alone.
• Queen bee shuttle and twin bees shuttle variants.

Rank	Name	Image	Period	Minimum glider cost
1	Pentadecathlon		15	3
2	Figure eight		8	4
3	Mold		4	5
4	Mazing		4	5
5	Blocker		8	5
6	Queen bee shuttle (trans- and cis-)		30	5
7	Achim's p4		4	5
8	Octagon 2		5	5
9	Unix		6	5
10	Tumbler		14	5
11	Coe's p8		8	5
12	Fumarole		5	6
13	Bi-pentadecathlon 1		15	6
14	Twin bees shuttle (all types)		46	6
15	Pulsar-on-pentadecathlon II Catagolue: here		15	6
16	Monogram		4	6
17	Pulsar-on-pentadecathlon I		15	6
18	Smiley		8	8
19	Boring p24		24	7
20	Uninteresting p24		24	7
21	Achim's p8		8	6
22	Elkies' p5		5	8
23	Silver's p5		5	8
24	Heart stator variant		5	8
25	xp4_g88rb88c0cicz11x3dd11		4	9
26	Skewed bi-pentadecathlon 1		15	7
27	Gray counter stator variant		4	9
28	1-2-3-4 stator variant		4	8
29	Confused eaters		4	8
30	Rob's p16		16	8
31	Tempest		4	8
32	20P4		4	8
33	Hooks stator variant		5	10
34	Cis-figure eight on pentadecathlon		120	7
35	xp4_g88g04a96z122dh953156		4	null
36	Burloaferimeter stator variant		7	9
37	xp4_39egu1t6zcicw4b871		4	17
38	xp4_w2llmzogjkj0v4zw6221		4	null
39	Trans-figure eight on pentadecathlon		120	7
40	Eater/block frob		4	8
41	Frutterfly		4	8

See also

• List of common oscillators