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Papanui Treble Place Doubles
Papanui Treble Place Doubles and allied methods
This method was invented (by Robert H. Bennett, the late R.G.T. Bennett, and myself) in 1987 and rung at St Paul's, Papanui (in Christchurch, New Zealand). It has a hunt and half-hunt, and three working bells. A lead is forty changes, so the plain course is the extent. See the entry in the methods.org.uk collection for the online listing in place notation.
St Paul's Papanui. (Anglican) A wooden church, built in 1877. Wooden construction is common in older New Zealand churches. Photo: Michal Klajban. Creative Commons Attribution-Share Alike 4.0 International licence.
See the methods.org.uk and Blueline sites for their listings.
Place notation: 3.1.5.1.5.1.5.1.5.1.3.5.3.1.5.1.5.123.5.123,125
The particular interest of the method, which we set out in an article in The Ringing World, was the use of a diagram method of creating and checking methods of this type. It is easy to see that in each lead the hunt and half-hunt must appear in each combination of positions exactly twice, and any combination of hunt and half-hunt which satisfies this will produce a number of methods. Hunt/half-hunt combinations can be generated by the use of a diagram:
A continuous line is drawn from any square to any adjacent square until every square has been passed through. A move directly adjacent to the blocked-out diagonal is not possible as it would mean (for example)
x12xx
12xxx
which is not a possible change.
This generates half a lead. The hunt and half-hunt then both make a place and reverse their paths symmetrically. The working bells are then added. Note that some lines do not create new methods as they describe compositions of plain methods.
In Papanui, the treble returns to the front during the lead. However, combinations are possible in which this does not happen.
A related type
Another, related type of method, can be constructed with a plain course of 60 changes, with two hunts and a lead of 20 changes. (We did not ring any methods of this type.) The two hunts are mapped by the grid diagram. It is possible for the lead to be symmetrical, but in this case the hunts will not be individually symmetrical. An extent can be produced by two calls 60 changes apart: either a single where a double change was expected or a double change where a single change was expected. I.e., the in-course/out-of-course parity must be reversed. The calls should not affect either hunt.
Complete course as copyable text
1 = hunt; 2 = working; 5 = half-hunt
| 1 | 2 | 3 | 4 | 5 |
| 2 | 1 | 3 | 5 | 4 |
| 2 | 3 | 1 | 4 | 5 |
| 3 | 2 | 4 | 1 | 5 |
| 3 | 4 | 2 | 5 | 1 |
| 4 | 3 | 5 | 2 | 1 |
| 4 | 5 | 3 | 1 | 2 |
| 5 | 4 | 1 | 3 | 2 |
| 5 | 1 | 4 | 2 | 3 |
| 1 | 5 | 2 | 4 | 3 |
| 1 | 2 | 5 | 3 | 4 |
| 2 | 1 | 5 | 4 | 3 |
| 1 | 2 | 4 | 5 | 3 |
| 2 | 1 | 4 | 3 | 5 |
| 2 | 4 | 1 | 5 | 3 |
| 4 | 2 | 5 | 1 | 3 |
| 4 | 5 | 2 | 3 | 1 |
| 5 | 4 | 3 | 2 | 1 |
| 5 | 4 | 3 | 1 | 2 |
| 4 | 5 | 1 | 3 | 2 |
| 4 | 5 | 1 | 2 | 3 |
| 5 | 4 | 2 | 1 | 3 |
| 5 | 4 | 2 | 3 | 1 |
| 4 | 5 | 3 | 2 | 1 |
| 4 | 3 | 5 | 1 | 2 |
| 3 | 4 | 1 | 5 | 2 |
| 3 | 1 | 4 | 2 | 5 |
| 1 | 3 | 4 | 5 | 2 |
| 3 | 1 | 5 | 4 | 2 |
| 1 | 3 | 5 | 2 | 4 |
| 1 | 5 | 3 | 4 | 2 |
| 5 | 1 | 4 | 3 | 2 |
| 5 | 4 | 1 | 2 | 3 |
| 4 | 5 | 2 | 1 | 3 |
| 4 | 2 | 5 | 3 | 1 |
| 2 | 4 | 3 | 5 | 1 |
| 2 | 3 | 4 | 1 | 5 |
| 3 | 2 | 1 | 4 | 5 |
| 3 | 1 | 2 | 5 | 4 |
| 1 | 3 | 2 | 4 | 5 |
| 1 | 3 | 4 | 2 | 5 |
| 3 | 1 | 4 | 5 | 2 |
| 3 | 4 | 1 | 2 | 5 |
| 4 | 3 | 2 | 1 | 5 |
| 4 | 2 | 3 | 5 | 1 |
| 2 | 4 | 5 | 3 | 1 |
| 2 | 5 | 4 | 1 | 3 |
| 5 | 2 | 1 | 4 | 3 |
| 5 | 1 | 2 | 3 | 4 |
| 1 | 5 | 3 | 2 | 4 |
| 1 | 3 | 5 | 4 | 2 |
| 3 | 1 | 5 | 2 | 4 |
| 1 | 3 | 2 | 5 | 4 |
| 3 | 1 | 2 | 4 | 5 |
| 3 | 2 | 1 | 5 | 4 |
| 2 | 3 | 5 | 1 | 4 |
| 2 | 5 | 3 | 4 | 1 |
| 5 | 2 | 4 | 3 | 1 |
| 5 | 2 | 4 | 1 | 3 |
| 2 | 5 | 1 | 4 | 3 |
| 2 | 5 | 1 | 3 | 4 |
| 5 | 2 | 3 | 1 | 4 |
| 5 | 2 | 3 | 4 | 1 |
| 2 | 5 | 4 | 3 | 1 |
| 2 | 4 | 5 | 1 | 3 |
| 4 | 2 | 1 | 5 | 3 |
| 4 | 1 | 2 | 3 | 5 |
| 1 | 4 | 2 | 5 | 3 |
| 4 | 1 | 5 | 2 | 3 |
| 1 | 4 | 5 | 3 | 2 |
| 1 | 5 | 4 | 2 | 3 |
| 5 | 1 | 2 | 4 | 3 |
| 5 | 2 | 1 | 3 | 4 |
| 2 | 5 | 3 | 1 | 4 |
| 2 | 3 | 5 | 4 | 1 |
| 3 | 2 | 4 | 5 | 1 |
| 3 | 4 | 2 | 1 | 5 |
| 4 | 3 | 1 | 2 | 5 |
| 4 | 1 | 3 | 5 | 2 |
| 1 | 4 | 3 | 2 | 5 |
| 1 | 4 | 2 | 3 | 5 |
| 4 | 1 | 2 | 5 | 3 |
| 4 | 2 | 1 | 3 | 5 |
| 2 | 4 | 3 | 1 | 5 |
| 2 | 3 | 4 | 5 | 1 |
| 3 | 2 | 5 | 4 | 1 |
| 3 | 5 | 2 | 1 | 4 |
| 5 | 3 | 1 | 2 | 4 |
| 5 | 1 | 3 | 4 | 2 |
| 1 | 5 | 4 | 3 | 2 |
| 1 | 4 | 5 | 2 | 3 |
| 4 | 1 | 5 | 3 | 2 |
| 1 | 4 | 3 | 5 | 2 |
| 4 | 1 | 3 | 2 | 5 |
| 4 | 3 | 1 | 5 | 2 |
| 3 | 4 | 5 | 1 | 2 |
| 3 | 5 | 4 | 2 | 1 |
| 5 | 3 | 2 | 4 | 1 |
| 5 | 3 | 2 | 1 | 4 |
| 3 | 5 | 1 | 2 | 4 |
| 3 | 5 | 1 | 4 | 2 |
| 5 | 3 | 4 | 1 | 2 |
| 5 | 3 | 4 | 2 | 1 |
| 3 | 5 | 2 | 4 | 1 |
| 3 | 2 | 5 | 1 | 4 |
| 2 | 3 | 1 | 5 | 4 |
| 2 | 1 | 3 | 4 | 5 |
| 1 | 2 | 3 | 5 | 4 |
| 2 | 1 | 5 | 3 | 4 |
| 1 | 2 | 5 | 4 | 3 |
| 1 | 5 | 2 | 3 | 4 |
| 5 | 1 | 3 | 2 | 4 |
| 5 | 3 | 1 | 4 | 2 |
| 3 | 5 | 4 | 1 | 2 |
| 3 | 4 | 5 | 2 | 1 |
| 4 | 3 | 2 | 5 | 1 |
| 4 | 2 | 3 | 1 | 5 |
| 2 | 4 | 1 | 3 | 5 |
| 2 | 1 | 4 | 5 | 3 |
| 1 | 2 | 4 | 3 | 5 |
| 1 | 2 | 3 | 4 | 5 |
Notes
Original authors:
Papanui
Papanui is now a suburb of Christchurch. The name is Māori and literally means "big plain". St Paul's (Anglican) is a notable wooden church, with a ring of eight (originally six) bells. Since the destruction of Christchurch Cathedral in an earthquake, it is the only functioning ringing tower in Christchurch.
The path of the hunt:
Papanui Doubles was originally designed to meet the old rules, which required the path of the hunt (though not the half hunt) to be that of a principle. (The principle is in fact true, though we are not aware of any simple extent. It does not seem to be in the methods.org.uk collection.) However, most paths generated by the diagram will not be of this type.
Note on the figures:
The scanned diagrams on this page are copies of those drafted for the Methods Committee of the Central Council in 1987.
Papanui Surprise Major
There is also a Papanui Surpise Major, of which a peal was rung at Papanui in 2000.