[Webmaster's note: Also included in the on-line version of the Guide is a Luciferian diagram indicating the breakdown into squares and halfsquares, in the manner of his form notation. - Dart]

 CAMBRIDGE HEXAGON

A Cambridge hexagon with nine clues is shaped like one of the examples below. If there is a different number of clues, the length of each side is half that number, rounded up; for example, one with eleven clues has sides of six letters.

LEFT CAMBRIDGE HEXAGON
T O R A H
O P E N E D
R E L A X E S
A N A B A S I S
H E X A G O N A L
D E S O L A T E
S I N A P I N
S A T I R E
L E N E S
RIGHT CAMBRIDGE HEXAGON
C A N S T
G O R I E R
M A M M A R Y
G A R B A G E S
C O M B A T A N T
A R M A T U R E
N I A G A R A
S E R E N E
T R Y S T
 CHEVRON

The chevron is inherently double.

CHEVRON
G
R E D
L I N E N
D E V E L O P
D I A E R E S E S
G A S S T A T I O N S
A S H E S E E R I E
S H E D R I T A
L E S A C T
I S H E
T D
INVERTED CHEVRON
T D
E S H E
D O S F O E
I O N S C R O P
U N I T S S L A V E
M E D I C I N E M E N
R E L A T I V E S
R E P A P E R
S E L E S
S I R
C
 CHEVRON STAR

A chevron star is a compound form in which four chevrons meet at a shared central point. In this example, letters forming the interior borders of the chevrons are shown in boldface.

CHEVRON STAR
B M
I F P A
G A P T E T
B R A D T H A I
E M C E E S H O R N
D O L M A N E E R D O W E L L S C H E M E
R E E L E D R A G R A C E S T H E N O
G L A C I S T I G M A S A R A N S
T M E S E S L I P T A T E R S
O S P R E Y E S I N I S M
S U I T E S O R D E S
S A T O U T E D E B T E D
F I R E U P O L A R A I D E D
N A D I R S E R E N E R E O P E N
D U L L E S T R A N G L E S U T L E R
G A B L E S E E T H E L I G H T H E T A S
H A V E S E E L E R
I T E R R U L E
L E N E V A
O D E T
H Y
 DIAMOND
DIAMOND
M
P E R
P A G E R
P H R A S E D
P A R A L E G A L
M E G A L O M A N I A
R E S E M B L E D
R E G A L E S
D A N E S
L I D
A
DOUBLE DIAMOND
M
R I P
R E S E T
D E I C E R S
C O S T A R I C A
W I N T E R S P O R T
G U E R R I L L A
T R A I N E D
S T A T S
E G O
E

In the hollow diamond, the size of the hollow section should be such that the four longest words form a square.

HOLLOW DIAMOND
D
R A S
F E T A S
M A T I N E E
N O N E V E N T S
S E T T L E S D O W N
N E U R A L T I N I E R
M O T R I N N I P P E R
F A N T A N C E L L E D
R E T E L L S U E D E D
D A T I V E S A P P E R
S A N E S T F U S I O N
S E N D I N S I L E N T
E T O N I C S A R T R E
S W I P E S F I R E R S
N E P L U S U L T R A
R E L E A S E R S
R E D P I N E
D E P O T
D E N
R
 ENNEAGON

The enneagon has nine sides. The right, and inverted right, enneagons are inherently double.

LEFT ENNEAGON
C
P I P
P A G A N
C I G A R E T T E S
P A R A G R A P H
N E G L I G E E
T R I O S E S
T A G S
E P E E
S H E S
RIGHT ENNEAGON
M
D O G
L A R U E
S A L M O N E L L A
C L E A N S O F F
A V E N G E R S
B A S H F U L
E A S E
I C E S
M E S S
INVERTED LEFT ENNEAGON
M A P S
A L E E
D I N T
M A D N E S S
A L I E N A T E
P E N S A C O L A
S E T S T O R E B Y
E L E N A
A B A
Y
INVERTED RIGHT ENNEAGON
P A B A
R E E L
O R E L
P O L I C E D
M A N I C U R E
W A G O N E T T E
S E S A M E S E E D
D O T E S
N O R
R
 FAN

In a fan, words read across and diagonally. The two longest diagonal words always read from top to bottom. The others all slope to the left or right, as in a star. The length of each side is equal to half the number of clues. The fan is inherently double.

LEFT FAN
S S
N U T O
P U G A I L
M A M A T U N A
J A W B R E A K E R
C
R A
A Y N
F I N E
T A R E S
RIGHT FAN
E H
U M O S
R E B U T E
O L E O S A M E
S T A P L E G U N S
D
R E
E R N
S L O E
S E W E D
INVERTED LEFT FAN
B A R B S
I L I A
G O B
B E
R
A R I S T O C R A T
L I N O T O A D
L O O H A M
A T E X
H R
INVERTED RIGHT FAN
S E A L S
T W I T
E R A
A R
K
S E C O N D B E S T
H O R A I T C H
O A K A A R
N E N O
D E
 HALFSQUARE

The left and inverted right halfsquares are inherently double.

LEFT HALFSQUARE
P
R A
O R S
G R E W
R E X E S
E S T A T E
S T O N I N G
S I L E N T L Y
E V E R G R E E N
S E T S E Y E S O N
RIGHT HALFSQUARE
S
B E
R I A
P E R M
S A R D S
S I L E N T
P A L A V E R
R E R E V I S E
B I R D N E S T S
S E A M S T R E S S
INVERTED LEFT HALFSQUARE
G R A P H P A P E R
R E T R I E V E R
A T W I T T E R
P R I N T E R
H I T T E R
P E T E R
A V E R
P E R
E R
R
INVERTED RIGHT HALFSQUARE
M A I N F R A M E S
I T E R A T I V E
E P I S T L E R
E S E R I N E
T R I T O N
S T A R E
E T O N
E D E
D S
S
 HEXAGON

Hexagons are inherently double.

HEXAGON
L U N G
F A R O U T
M E G A S T A R
L O V E L E T T E R
P E R I G E E S
R E T A R S
D E Y S
 LATTICE

Lattices are windmills with an added framework of letters on the outside. Because these outer words contain a number of uncrossed letters, the formist should take particular care to clue these words straightforwardly.

LEFT LATTICE
I S O S C E L E S
S A R A H T
O R A L E R
S A L V E E
C H E E R L E S S
E L I M A S
L E M O T E
E S A T Y R
S T R E S S E R S
RIGHT LATTICE
T E A M S T E R S
E H A V O C
A O K A P I
M R E D E S
S H O R T N E S S
T A K E N O
E V A D E R
R O P E S E
S C I S S O R E D
 OBLONG

An oblong is a rectangle sloped along a diagonal. The length of the longer sides is the same as the number of letters in the longest word.

LEFT OBLONG
R
R E S
C A C H E
R A T T I N G
R E C T A N G L E
S H I N G L I N G
E N G L I S H E S
G L I S T E N E D
E N H E R I T E D
G E N I T A L
S E T A L
D E L
D
RIGHT OBLONG
P
D A G
B I R L E
R E S L I D E
R E C T A N G L E
R E C H A N T E D
B E C H A N C E D
D I S T A N C E D
P A R L A N C E S
G L I N T E D
E D G E D
E L D
E
 OCTAGON

If an octagon has ten clues, its word enumerations are: 4, 6, 8, 10, 10, 10, 10, 8, 6, 4. If there are seven clues, it has the shape of the example below.

OCTAGON
S O L
C A C A O
S A X T U B A
O C T A G O N
L A U G H E D
O B O E S
A N D