# V. R. Parton

Vernon Rylands Parton (2 October 1897 – 31 December 1974) was an English chess enthusiast and prolific chess variant inventor, his most renowned variants being Alice chess and Racing Kings. Many of Parton's variants were inspired by the fictional characters and stories in the works of Lewis Carroll. Parton's formal education background, like Lewis Carroll's, was in mathematics. Parton's interests were wide and he was a great believer in Esperanto.
Parton's early education stemmed from his father's schools, where he also assisted. Parton's father was principal of Cannock Grammar School and a small international boarding school for children. After completing mathematics at Chester Teaching College, Parton returned to his father's school to give private instruction to older children in Latin, French, German, English, shorthand, typing, bookkeeping, and mathematics. In the 1920s he was left in charge of the school while his father returned to teach in state schools. Ill health cut short Parton's teaching career.
In 1960 Parton moved from Cannock to Liverpool, into a terraced house near Penny Lane, and published a series of nine monographs from 1961 to 1974 (also 1975 posthumously) detailing his inventions. He died from emphysema at age 77 in Liverpool on 31 December 1974. The same year, variant inventor Philip M. Cohen created the variant Parton Chess in his honour.
   I have distinct memories of sitting on his knee and listening to these [Lewis Carroll] stories, and not a book in sight.
   I always knew him as a gentle and kindly person, and rarely saw one of his dark moods. He seemed to relate best to children.
   I saw Vern often until about 1950, frequently accompanying him to his favorite location, the town library, or to the tobacconist, he having become a smoker. He seemed very reluctant to go out on his own. He had a favorite uncle, who was blind, and Vern was content to escort him around.
   Vern never wanted to benefit financially from his work, but asked only for a contribution to charities for the blind.

## Some chess variant inventions
### Cubic chess

In this 6×6×6 3D variant by Parton, boards are denoted A (bottom level) through F (top level). Each side has six pieces: king (K), queen (Q), bishop (B), unicorn (U), knight (N), and rook (R); and twelve pawns.

#### Game rules

Pieces move the same as in Raumschach, except that pawns move and capture one step forward (either orthogonally, diagonally, or vertexally), but not directly upward or downward. As in chess and Raumschach, the objective is checkmate.
* White's starting setup: KAa1, QAb1, BAc1, UAd1, NAe1, RAf1; pawns on Aa2–f2 and Ba1–f1
* Black's starting setup: KAf6, QAe6, BAd6, UAc6, NAb6, RAa6; pawns on Aa5–f5 and Ba6–f6

#### Variation

Parton made a variation of cubic chess for the same gameboard: In compulsion cubic chess, capture is compulsory, there are no checks, and the object is capture of the opposing king.

### Alice chess

Parton's most famous chess variant, played on two adjacent chessboards. A piece that completes its move on one board automatically "vanishes strangely off its board to appear suddenly on the other board, magically out of thin air!" A move in Alice chess has two basic stipulations: the move must be legal on the board on which it is played, and the square transferred to on the opposite board must be vacant. (Consequently, capture is possible only on the board upon which a piece currently stands.)
   Just as Alice encounters strange situations by passing through that looking-glass from reality to its reflection, so for Alician Chess a strange game is created by playing it on two separate boards! One board being as a looking-glass to the other, the resulting play is a game which has a character as fantastic perhaps as Alice's own game in Through the Looking-Glass. What a great loss it has been that Lewis Carroll never left his stamp on some idea for Chess! Whether he would approve of my using Alice's own name of the present game is an unsolvable problem.
From D. B. Pritchard's Popular Chess Variants (2000):
   This wonderful game, appropriately named after Lewis Carroll's eponymous heroine, was the inspiration of Vernon Parton. If you pass over every other game in this book, don't miss this one. Still, alas, little known, Alice chess, now almost a half-century old, continues to attract converts. The body of Alice players grows steadily.

### Mad Threeparty chess

This variant is for three players on a 10×10 board. Each player has a standard set of pieces in their own colour, including an extra king, but no pawns.

#### Game rules

The board starts empty. Players take turns, in clockwise rotation around the board, placing one of their pieces on any vacant square. Kings are placed last, but must not be placed in check.
The two kings of each player are marked differently. (For example, of a player's two kings, one might be marked with a star.) Each player attacks the marked king of the opponent to their left, and the unmarked king of the opponent to their right. It is not permitted to check the opponents' other kings.
The first player to checkmate a king wins the game.

### Tweedle chess

Also known as twin orthodox chess or double-king chess, each player has two kings and two queens on a 10×10 board. A player wins by checkmating either one of the opposing kings.

#### Game rules

The normal chess rules apply, except that kings and rooks can only castle "short" (i.e. with kings shifting two squares toward the nearest corner), and pawns can move one or two steps at any stage.

#### Comments

"While his pair of Queens will provide the player's main hopes for victory, his twin monarchs King Tweedledee and King Tweedledum jointly provide his sequence of headaches!" (Parton 1961:14) Parton makes note that the only way a player can escape mate from a fork on his two kings is by capturing the checking piece.
Boyer remarked that the variant yields "magnificent games" because there are two directions of attack and two points to defend.

### March Hare chess

| | a | b | c | d | e | f | g | h | |
| 8 | | | | | | | | | 8 |
| 7 | | | | | | | | | 7 |
| 6 | | | | | | | | | 6 |
| 5 | | | | | | | | | 5 |
| 4 | | | | | | | | | 4 |
| 3 | | | | | | | | | 3 |
| 2 | | | | | | | | | 2 |
| 1 | | | | | | | | | 1 |
| | a | b | c | d | e | f | g | h | |
In this variant, a player first moves one of their own pieces, "and then 'meddles' with his opponent's men". (Pritchard 2007:62)

#### Game rules

For each turn, a player makes two moves: he first moves one of his own pieces, then one of his opponent's.
* If a player moves one of his pawns, then he may move any enemy piece, including the enemy king. (Parton 1961:24)
* If a player moves his queen, rook, bishop, or knight, then he must move an enemy pawn.
* If a player moves his king, then he may move any enemy piece except the enemy king.
When in check, a player must get out of check immediately on his turn by moving one of his own men. (If he cannot legally do so, he loses the game.)

### Cheshire Cat chess
#### Game rules

In this variant, all normal chess rules apply, except: Whenever a piece moves from its square, then that particular square "disappears".
Parton suggests using checker pieces to mark "disappeared" squares. Once vanished, a square may not be occupied again; however, pieces may move through disappeared square(s), including giving check through them.
Since castling is impossible in Cheshire Cat Chess (pieces which normally clear a path for castling cause needed squares to "disappear"), Parton permits the kings to be moved like queens once per game, on their first move.

#### Variation

The game can also be played using a regular 8×8 board and set, but Parton suggests the 10×10 board with two extra rooks in the corners as "best".

### Co-regal chess

| | a | b | c | d | e | f | g | h | |
| 8 | | | | | | | | | 8 |
| 7 | | | | | | | | | 7 |
| 6 | | | | | | | | | 6 |
| 5 | | | | | | | | | 5 |
| 4 | | | | | | | | | 4 |
| 3 | | | | | | | | | 3 |
| 2 | | | | | | | | | 2 |
| 1 | | | | | | | | | 1 |
| | a | b | c | d | e | f | g | h | |
In this variant, the queens are subject to check and checkmate the same as kings.

#### Game rules

Checkmate of the opponent's king or queen wins the game. The queen moves and captures as a normal queen, but may not put itself in check. The queen may pass over attacked squares.
Amplified rules by NOST
A queen, the result of a pawn promotion, is royal. A queen may check a king from a distance, but may not check a queen. Both kings and queens may castle long or short.

#### Comments

"It will be seen that difficulties for a 'checkmate' of the hostile Queen must chiefly arise from her great mobility which enables her to escape to safety with some degree of ease, in contrast with the King's poor slow power to move out of grave dangers. Victory in Co-regal will be in general achieved by checkmate of the enemy King. [...] A player must acquire two new habits at least. He must crush all his desires to make some brilliant Queen sacrifice. When he attacks the hostile co-regal Queen, he is obliged to give the polite word 'check' as warning!" (Parton 1970a, Part I:2)

#### Sample game

Walter Whiteman vs. Rib Orrell: 1.e4 Nf6 2.Nc3 e5 3.Nf3 Bc5 4.Bc4 Ng4 5.0-0 Nxf2+ 6.Rxf2 Bxf2+ 7.Kxf2 0-0 8.d3 d6 9.Ng5 Be6 10.Bxe6 fxe6+ 11.Ke1 h6 12.Nxe6+ Qh4+ 13.g3+?? Qxh2 0–1 "Black threatens 14...Qg/h1 mate since a K move is illegal as it exposes the Q to check. If 14.Qg4 (only legal move for Q) Rf2 15.Ne2 (forced: Qxg7 is not mate—it's illegal!) Rxe2+ and mate in three." (Pritchard 1994:72)

### Racing Kings

| | a | b | c | d | e | f | g | h | |
| 8 | | | | | | | | | 8 |
| 7 | | | | | | | | | 7 |
| 6 | | | | | | | | | 6 |
| 5 | | | | | | | | | 5 |
| 4 | | | | | | | | | 4 |
| 3 | | | | | | | | | 3 |
| 2 | | | | | | | | | 2 |
| 1 | | | | | | | | | 1 |
| | a | b | c | d | e | f | g | h | |
This game was the original Dodo chess before being renamed. The rules are the same as Dodo chess, but there is a different board setup.

#### Sample game

R. Betza vs. J. Leitel: 1.Bd4 Be4 2.Kh3 Ka3 3.Nxc1 Rxc1 4.Be2? Nb3 5.Bh8? Ka4 6.Kg4 Ka5 7.Qh6 Rc6 8.Qe3 Rxe2 9.Qxe4! Qxh8? 10.Qxc6 Qc3 11.Qh6 Rxe1 12.Rxe1 Qxe1 13.Kf5 Qe7 14.Qe6 Qb7 15.Kg6 Nc5 16.Qf7 Ka6 17.Kh7 Ka7 18.Rg8 (18.Kg8 only draws) 1–0
Parton suggests also that play can be extended to a "double course", where a player wins by being first to go to the eighth rank and then return to the first.

### Dodo chess

| | a | b | c | d | e | f | g | h | |
| 8 | | | | | | | | | 8 |
| 7 | | | | | | | | | 7 |
| 6 | | | | | | | | | 6 |
| 5 | | | | | | | | | 5 |
| 4 | | | | | | | | | 4 |
| 3 | | | | | | | | | 3 |
| 2 | | | | | | | | | 2 |
| 1 | | | | | | | | | 1 |
| | a | b | c | d | e | f | g | h | |
Played on a regular chessboard, this variant is a simple race game: the first player to reach a square on the last rank with his king is the winner.

#### Game rules

Checking is not permitted, neither is exposing one's own king to check. Captures are allowed, however, as in normal chess.
"By way of compensating for the first move (always an advantage in a race game) if White gets there first but Black follows on the next move the game is a draw." (Pritchard 2000:14)

### Kinglet chess

| | a | b | c | d | e | f | g | h | |
| 8 | | | | | | | | | 8 |
| 7 | | | | | | | | | 7 |
| 6 | | | | | | | | | 6 |
| 5 | | | | | | | | | 5 |
| 4 | | | | | | | | | 4 |
| 3 | | | | | | | | | 3 |
| 2 | | | | | | | | | 2 |
| 1 | | | | | | | | | 1 |
| | a | b | c | d | e | f | g | h | |
Also known as imperial fiddlesticks, there is no checking or checkmate in kinglet chess – kings are treated like any normal piece. The winner is the first player to capture all the opponent's kinglets (i.e. pawns or Fiddlesticks).

#### Additional rules

When reaching the last rank, a kinglet promotes to a king. If a player is forced to promote his last kinglet, he is then without any kinglets so automatically loses. All pieces including kings are subject to capture. Stalemate is a draw.

#### Comments

"The idea contains some interesting problems in tactics. The balance between rushing to capture Fiddlesticks [pawns] quickly and fear of becoming defenceless thereby, (loss of major pieces) seems to be subtle and delicate." (Parton 1961:4)

#### Variations

Parton suggests two "less subtle" variations in Curiouser and Curiouser, one based on Progressive chess where players make an increasing number of moves per turn, and the other based on Marseillais chess where players move two pieces per turn, at least one of which must be a kinglet (or, the same kinglet may be moved twice).

### Looking-glass chess

| A | A | A | B |
Looking-glass chess comprises two separate but interdependent games. Here White's first move was 1.Nf3/A and the reflected move 1.Nc3/B, and Black's response was 1...d5/B and the reflected move 1...e5/A. :
Two separate games ensue in this Parton creation. A player may make any normal move on either board, and then must make the 'looking-glass' (reflected) move on the other board to complete his turn.

#### Game rules

To illustrate, if White opens with 1.Nf3 on board A, then he must play 1.Nc3 on board B to complete his turn (see diagram). If a reflected move would put the player in check, then the first move may not be made.
The move of a king or queen must be mirrored on the other board, even if this means moving the king several squares. (For example, in the diagram if White captures 2.Nxe5/A Nxd5/B and Black recaptures 2...Qxd5/B, then Black's reflected move is: 2...Kxe5/A.)
Castling is normal, but then the reflected move must be executed to 'castle' the queen. (E.g. if White castles kingside, then reflected queenside castling results in the queen on b1 and the rook on c1.)

### Gryphon chess

| | a | b | c | d | e | f | g | h | |
| 8 | | | | | | | | | 8 |
| 7 | | | | | | | | | 7 |
| 6 | | | | | | | | | 6 |
| 5 | | | | | | | | | 5 |
| 4 | | | | | | | | | 4 |
| 3 | | | | | | | | | 3 |
| 2 | | | | | | | | | 2 |
| 1 | | | | | | | | | 1 |
| | a | b | c | d | e | f | g | h | |
Also known as complicacious chess, at the end of a move, the moved piece transforms to a piece of a different type (the next in the series: pawn→knight→bishop→rook→queen→king). So after moving a pawn, the pawn transforms to a knight of the same colour. After moving a knight, it becomes a bishop; and so on. Kings do not transform.

#### Game rules

A player may have no more than four knights, four bishops, four rooks, or two queens on the board at any one time, but may have as many as fifteen kings. Checkmating any one of the enemy kings wins the game.

#### Comments

"It will be seen at once that a complicacious pawn reaches the status of kingship in five moves, whereas a complicacious Rook does so in two moves. [...] Naturally, a player will not capture the enemy Queen! Neither will he desire to move his own Queen, to provide the necessary target for his opponent to win by." (Parton 1961:26)

#### Variations

In circular Gryphon chess, players have one king for the entire game as in normal chess. But the transformation sequence is changed and made circular: pawn→knight→bishop→rook→queen→pawn. (So, a piece can transform any number of times without limitation.) Again, no more than four knights, four bishops, four rooks, or two queens are permitted in play at any one time.
In simplified Gryphon chess, players start with their king and eight pawns. "The pawns change through the regular Gryphon order and terminate in kingship. Until a player has captured an enemy piece, he is forbidden to move his king sideways or backwards." (Parton 1974:17)

### Mock chess

| | a | b | c | d | e | f | g | h | |
| 8 | | | | | | | | | 8 |
| 7 | | | | | | | | | 7 |
| 6 | | | | | | | | | 6 |
| 5 | | | | | | | | | 5 |
| 4 | | | | | | | | | 4 |
| 3 | | | | | | | | | 3 |
| 2 | | | | | | | | | 2 |
| 1 | | | | | | | | | 1 |
| | a | b | c | d | e | f | g | h | |
To win the game, a player must capture all his opponent's pieces, including the king. "A proper pseudomorph to Chess, for it has no elements of check and mate whatever in its basis. Kings are now merely treated like any other chessman." (Parton 1961:15)

#### Game rules

If a player can capture, he must do so. If more than one capture are possible on his turn, he may choose which one to make. Only one capture per turn may be made.
On its first move, a pawn must advance two squares—unless the pawn's first move is a capture.

### Contramatic chess

The normal rules for check and checkmate are contradicted—a player may not check the enemy king, but may move his own king into check. A player wins when his opponent cannot escape giving check.

#### Game rules

Players start with kings positioned as shown. White places his remaining pieces anywhere he likes on his side of the board, then Black does the same. White moves first.
Checking the opponent is not allowed. (If a player has no move other than to give check, then he loses.) A player may make a move putting his own king in check from enemy piece(s)—unless the move would also give check to the opponent. When a player is in check, his opponent must remove the check on his next turn or lose the game.

#### Observations

Kings tend to move more than any other piece. Kings cannot occupy adjacent squares, since it would result in giving check to the opponent (in violation of the rules). Captures are rare, since capturing the opponent's men reduces the chance of putting one's own king in check.

#### Variation

In Complete Contramatic chess (also known as C.C.C.) each player has two kings – a normal (orthodox) king in addition to the regular "contramatic" king. There are two ways to win: putting one's own contramatic king into inescapable check, or checkmating the enemy orthodox king. Players place the orthodox kings last, after other pieces are placed.

#### Observations

A contramatic king can move to a square adjacent to the enemy orthodox king (since the orthodox king may be checked as in normal chess, and the contramatic king may put itself into check). But an orthodox king may not move adjacent to the enemy contramatic king (since it is not allowed to check an opponent's contramatic king, or to put one's own orthodox king into check).

### Idle Kings' chess

| | a | b | c | d | e | f | g | h | |
| 8 | | | | | | | | | 8 |
| 7 | | | | | | | | | 7 |
| 6 | | | | | | | | | 6 |
| 5 | | | | | | | | | 5 |
| 4 | | | | | | | | | 4 |
| 3 | | | | | | | | | 3 |
| 2 | | | | | | | | | 2 |
| 1 | | | | | | | | | 1 |
| | a | b | c | d | e | f | g | h | |

#### Game rules

Players play without kings until after Black's 12th move, when White places his king on any open square (but not in check), and Black does the same.

#### Additional rule

After kings are placed the game continues normally, except that kings may not move, unless in check.

### Unirexal chess

| | a | b | c | d | e | f | g | h | |
| 8 | | | | | | | | | 8 |
| 7 | | | | | | | | | 7 |
| 6 | | | | | | | | | 6 |
| 5 | | | | | | | | | 5 |
| 4 | | | | | | | | | 4 |
| 3 | | | | | | | | | 3 |
| 2 | | | | | | | | | 2 |
| 1 | | | | | | | | | 1 |
| | a | b | c | d | e | f | g | h | |
Also known as The Black King's Complaint, Unirexal variants are those with only one king on the board. "The black king disappeared, explains Parton, because he was fed up with always being mated in problems." (Pritchard 1994:332)

#### Game rules

Black has a second queen instead of a king, and must checkmate White in a reasonable number of moves (agreed to before the game), otherwise White wins.

#### Variation

| | a | b | c | d | e | f | g | h | |
| 8 | | | | | | | | | 8 |
| 7 | | | | | | | | | 7 |
| 6 | | | | | | | | | 6 |
| 5 | | | | | | | | | 5 |
| 4 | | | | | | | | | 4 |
| 3 | | | | | | | | | 3 |
| 2 | | | | | | | | | 2 |
| 1 | | | | | | | | | 1 |
| | a | b | c | d | e | f | g | h | |
Black has 20 knights, but no king. If Black does not checkmate White within 50 moves, he loses.

### Decimal Rettah chess

This is Parton's first chess variant invention. The idea sprang from a dislike for weak kings: "The king ought to be strong, not feeble, by aesthetic standards: he is the centre around which turns the whole game itself. In consequence, my Rettah monarch is the most powerful of all pieces." (Parton 1961:7)
Each player has two rettahs (kings) and two queens on a 10×10 board. There is no checkmate; a player wins by capturing both opponent's rettahs.

#### Game rules

A rettah [hatter spelled backwards] moves and captures as a Q+N compound. If a rettah is attacked, the attacking piece must be captured immediately. (If more than one piece is able to capture, the player may choose. An attacked rettah will always have the option to capture.) If a rettah is attacked by two pieces simultaneously, the attacked rettah must capture one of them (the player may choose which).
Pawns can move up to three steps on their first move. There is no en passant. If players agree, pawns can also move one step diagonally forward (to facilitate opening lines). A pawn promotes to rettah, but only if a rettah of the same colour was previously captured. There is no castling in Decimal Rettah.

#### Variations

Parton gives several variations, although Decimal Rettah is "possibly the earlier version and arguably the better" (Pritchard 1994:82). In Absolute Rettah chess, only a rettah may capture a rettah. (So a successful tactic involves attacking a rettah with a piece guarded by one's own rettah.) In Giveaway Rettah, Decimal or Absolute Rettah are played according to Suicide chess rules. In Rettah chess (one rettah; pawns move only one step forward) and Double Rettah chess (two rettahs; no forced capture; win by checkmating a rettah), play is on a regular 8×8 board.

#### Sample game

Decimal Rettah, "a game of assault and sacrifice", received high praise from Boyer who published the following sample game [the game uses an alternate initial setup NBKQRRQKBN and incorrect interpretation of the capture rule, requiring that only a rettah may capture its attacker]:

### Identific

In this variant, the identity of chess pieces becomes known as play proceeds.

#### Game rules

Players first place their 12 counters (draughtsmen) on any squares of their choosing on their own half of the board. (Either White places all his counters first, followed by Black; or one per turn if the players prefer.)
After all counters have been placed, White moves any one of his counters as a regular chess piece of his choosing, then immediately replaces that counter with the corresponding chess piece. Black does similarly on his turn. These "moves of identification" obey the following rules:
* A pawn is identified by the move of a counter one step forward.
* A bishop or queen is identified by a diagonal move two or more squares.
* A rook or queen is identified by an orthogonal move two or more squares.
* Counters cannot capture or give check.
After each player has identified one chess piece, on subsequent turns players may choose to identify an additional piece from those still in-hand, or move one of their chess pieces already on the board. Chess pieces move, capture, give check/checkmate as normal, and may capture enemy counters.
A player's fourth identified piece must be his king. (Or the players can agree on a different schedule, for example, the sixth identified piece.) Players might also want to prevent the early identification of queens, for example, by requiring at least five identifications, or by limiting identification of queen to a player's last-remaining counter.

### Synchronistic chess

| | a | b | c | d | e | f | g | h | |
| 8 | | | | | | | | | 8 |
| 7 | | | | | | | | | 7 |
| 6 | | | | | | | | | 6 |
| 5 | | | | | | | | | 5 |
| 4 | | | | | | | | | 4 |
| 3 | | | | | | | | | 3 |
| 2 | | | | | | | | | 2 |
| 1 | | | | | | | | | 1 |
| | a | b | c | d | e | f | g | h | |
"A variant designed, part tongue-in-cheek, to achieve absolute equality." (Pritchard 1994:297) "[...] to eliminate altogether that inequality between White and Black, by the simple idea that White and Black shall always play their corresponding moves simultaneously!" (Parton 1970a, Part I:9)

#### Game rules

For each turn players decide their moves, write them down secretly, then disclose them. They adjust the position accordingly, using the following rules of resolution when needed:
* If moves were to the same square, then White captures Black if the square is on Black's half of the board; Black captures White if the square is on White's half.
* If moves were reciprocal captures, then both pieces are removed from the board.
* If one player moved to a square the opponent's piece occupied, but that piece moved away in the turn, it is considered captured and removed from the board if it is of lower rank (K > Q > R > B > N > P). If it is the same or higher rank, then both moves stand.
In Synchronistic Chess, simultaneous checkmate is possible.

### Damate

Also known as Damate Game, the game is a synthesis between draughts and chess.

#### Game rules

A king has no royal powers and is considered a normal man; a player wins by eliminating all the opponent's men. The pieces move normally, except that pawns have no initial two-step option, and besides their normal one-step move straight forward, can move one step diagonally forward. A piece captures an enemy piece by jumping it:
* A king captures by jumping an adjacent man in any direction, landing on the vacant square immediately beyond.
* The rook, bishop, and queen capture by jumping a man in their path, landing on any of the vacant squares immediately beyond. Only the piece captured may be jumped.
* The pawn captures by jumping an adjacent man either diagonally forward or straight forward, landing on the vacant square immediately beyond.
* The knight captures by jumping a man it would normally replace in chess, landing on the vacant square one additional knight-move away in a straight line (similar to the move of a nightrider; for example, a knight on c1 captures a man on d3, by jumping to the vacant square e5).
As in draughts, jumping is always mandatory, multi-jumps are possible, and the multi-jump chosen must capture the maximum number of pieces possible. (If more than one jumping sequence captures the maximum, the player may choose.) The pieces captured in a multi-jump are not removed from the board until the end of the turn.
A pawn promotes to queen when it crosses the centre line of the board. A pawn jumping over the centre line both promotes and immediately ends the turn (i.e. no further jumps are allowed).

### Dunce's chess

| | a | b | c | d | e | f | g | h | |
| 8 | | | | | | | | | 8 |
| 7 | | | | | | | | | 7 |
| 6 | | | | | | | | | 6 |
| 5 | | | | | | | | | 5 |
| 4 | | | | | | | | | 4 |
| 3 | | | | | | | | | 3 |
| 2 | | | | | | | | | 2 |
| 1 | | | | | | | | | 1 |
| | a | b | c | d | e | f | g | h | |
Also known as Advancing chess, the game has simple rules: Moves, captures, and checks are restricted to straight forward or diagonally forward directions. (Sideways or backwards is not permitted.) Pawns do not promote. The game is won by checkmating or stalemating the opponent.

#### Variations

* The same rules, but the initial position is without queens and rooks.
* The same rules, but the initial position is without queens, rooks, and pawns.

### Semi-queen chess

Also known as half-queen's chess, the game introduces two additional pawns and two new pieces per side, the "ugly-named Biok and Roshop".

#### Game rules

The Biok makes non-capturing moves like a bishop, and captures like a rook. The Roshop makes non-capturing moves like a rook, and captures like a bishop.
As a result, the Roshop "has the great advantage of being able to change from one colour system of squares to the other when required" (Parton 1974:5).

#### Variation

Parton defines an extension having no additional pawns and a pair of Bioks and Roshops per player.

### Black and White chess

| | a | b | c | d | e | f | g | h | |
| 8 | | | | | | | | | 8 |
| 7 | | | | | | | | | 7 |
| 6 | | | | | | | | | 6 |
| 5 | | | | | | | | | 5 |
| 4 | | | | | | | | | 4 |
| 3 | | | | | | | | | 3 |
| 2 | | | | | | | | | 2 |
| 1 | | | | | | | | | 1 |
| | a | b | c | d | e | f | g | h | |
Also known as Black and White Marseillais chess, this game follows a simple rule: each player makes two moves per turn, first with a man standing on a white (light) square, then with a man standing on a black (dark) square. Some resolutions are provided:
* If either move is impossible, that move is lost.
* If the first move delivers a check, the second move is lost.
* If a player is in check, their first move must get out of check. If doing so requires moving from a black square, it "counts as a second move and the first move is lost".
Castling can be done on either the first or second move of a turn. A man can be moved twice in a turn if square colour requirements are met. (For example, with a white pawn on a2 and a black bishop on b4, White's turn can consist of a3 followed by axb4.)

## List of game inventions
### Chess variants

* Checkers chess (1950s)
* Decimal four-handed chess (1950s)
* Idle Kings' chess (1950s)
* Nightrider chess (1950s)
* Scaci Partonici (1950s)
* Decimal Rettah chess (1952)
* Double Rettah chess (1952)
* Parton's Game (1952)
* Rettah chess (1952)
* Tweedle chess (or Twin Orthodox chess) (1952)
* Alice chess (1953)
* Kinglet chess (or imperial fiddlesticks) (1953)
* Neutral King chess (1953)
* No-retreat chess (1954), co-inventor J. Boyer
* Black and White chess (or Black and White Marseillais chess) (1955)
* Ecila (1957 or earlier)
* Degraded chess (1958)
* Complete contramatic chess (1961)
* Contramatic chess (1961)
* Damate (1961)
* Racing Kings (1961)
* Dunce's chess (or advancing chess) (1961)
* Gryphon chess (or complicacious chess) (1961)
* Jabberwocky chess (1961)
* Knightmare chess (1961)
* Linear chess (1961)
* March Hare chess (1961)
* Royal Scaci Partonici (1961)
* Scacia (1961)
* Simpleton chess (or Simpletonry) (1961)
* Twin chess (1961)
* Unirexal chess (or The Black King's Complaint) (1961)
* Chimaera chess (1969)
* Mock chess (1969)
* Ambi-chess (1970)
* Best decimal butter (1970)
* Blot-straight chess (1970)
* Butters (1970)
* Capricorn chess (1970)
* Centaur Royal (1970)
* Cheshire Cat chess (1970)
* Co-regal chess (1970)
* Cubic chess (1970)
* Demigorgon chess (1970)
* Dodo chess (1970)
* Gorgona chess (1970)
* Identific (1970)
* Looking-glass chess (1970)
* Mad Threeparty chess (1970)
* Meddlers' chess (1970)
* Semi-queen chess (or half-queen's chess) (1970)
* Sphinx chess (1970)
* Timur's cubic chess (1970)
* Wyvern chess (1970)
* Circean (1971)
* Dabbabante chess (1971)
* Decimal Oriental chess (1971)
* Imitante Queen chess (1971)
* Synchronistic chess (1971)
* 2000 A.D. (1972)
* Royal Fury (1972)
* Gorgon chess (1973)
* Megasaur chess (1973)
* Mimotaur chess (1973)
* Rangers chess (1973)
* Triscacia (1974)

### Draughts variants

* Alician Draughts (1956)
* Damate (1961)
* Dragon
* Kinger, Simple Kinger, and Grand Kinger
* Scoundrels

### Other games

* Salterello

## Monographs (with section headings)

Curiouser and Curiouser (1961), 31 pp.
* Scacetic
* The First Lesson in Chess
* Dunce's Chess in Three Grades
* Imperial Fiddlesticks
* The Queen's Relations
* The Dodo's Chess
* Rettah
* Simpletonry
* Alician
* The Black King's Complaint
* Tweedledee and Tweedledum
* Mock Turtle's Pseudomorphy
* Damification
* A New Pudding
* Podospherism
* Contramatic
* The Rules According to the March Hare
* Knightmares
* Gryphon's Fancy and Fun
* The Realm of Circum Morus
* The Caterpillar's Idea of C.C.C.
Challenge and Delight of Chessical and Decimal (1970), 14 pp.
Chesshire-Cat-Playeth Looking-Glass Chessys (1970) Part I, 14 pp.
* The Queen of Hearts' Chess
* Capricorn Chess
* The Black King's Complaint
* The Rules According to the March Hare
* Identific
* Synchronistic Chess
* Jabberwocky Chess
* Dodo Chess
Chesshire-Cat-Playeth Looking-Glass Chessys (1970) Part II, 13 pp.
* The Chesshire Cat's Grin
* Scaci Partonici
* A Chess Reflection
* Demigorgons
* The Mad Tea Party
* Knightmares
* Scaci Partonici
Chessical Cubism or Chess in Space (1971), 16 pp.
* Cubic Chess
* Tamerlane Variation of Cubic Chess
* Sphinxian Chess
* The Compulsion Sphinx Chess Variations
* Ecila Chess
100 Squares for Chess + Damante (1971), 16 pp.
* Capablancan Chess
* Decimal Falcon-Hunter (Schulz Chess)
* Half-Queen's Chess
* Decimal Oriental Chess
* Decimal Imitante Q Chess
* Centaur Royal
* Damate Game
* Damatic Chess
* Decimal Duffer's Chess
* Wyvern Chess
* Dabbabante Chess
* Decimal Butter
* Decimal Obstacles Chess
* Chimaera
* Gorgona
* Circean
* Ambi-Chess
* Decimal Scaci Partonici
My Game for 2000 A.D. and After (1972), 12 pp.
Enduring Spirit of Dasapada (1973), 19 pp.
* Dasapada
Idea for a Personal Game (1973), 12 pp.
* The Basis of Pawn Partonici
* The Idea of Scaci Partonici
Chessery for Duffer and Master (1974), 23 pp.
* Chessery for Duffer and Master
* The Game of Rettah Chess
* Semi-Queen Chess
* The Diversion of Zerta
* Meddlers Chess Game
* The Alice chess Game
* The Idea of Gryphon Chess
* Royal Fury