Polygraphiae libri sex

Six Books of Polygraphy

prdl-24389_polygraphiae-libri-sex-ioannis-trithemii-abbatis · Style C / Cipher-grid matrices

Machine translation No complete human review documented 15 chunks Cryptography & the Occult

Polygraphia VI (1550, Frankfurt) -- Cipher-grid tables (Style C)

Source witness: Bayerische Staatsbibliothek (BSB) München, via MDZ digital library. Contains the Clavis Polygraphiae bound in.

What you are looking at

These chunks render Trithemius's tabular ciphers -- structurally different from the verbal-substitution columns of the cipher-key set. Three families recur:

  • Expansion-figure matrices (Prima / Secunda / Tertia / Quarta figura expansionis tabulae) -- bigram-pair tables and alphabet-rotation grids that derive new alphabets from a base alphabet by transposition.
  • Orchema numerale -- a 24x24 numerical-substitution matrix in Polygraphia VI book six, indexed by Latin letters on both axes with numbers 6-29 in the body. Trithemius's own note describes the diagonals as an 'infinite leap' (transversaliter a quatuor angulis).
  • Spirit-army hierarchies -- positional tables of demonic ranks (Oriens / Duxes majoris / Duxes minoris / Subduces) from the Steganographia tradition; structurally tabular but not a cipher in the strict substitution-table sense.

How the renderer chose its layout

Each source section is tokenised row-by-row. When most rows have the same cell count (and that count is <= 28), the renderer emits a markdown table; otherwise it preserves the source layout as a fenced code block. Trithemius's own commentary (where it appears in long Latin prose between figures) is lifted out into a blockquote. -- marks an OCR-illegible cell.

Honest limits

  • Identical-rows artefact: the printed Polygraphia VI expansion figures display Caesar-rotated alphabets, but the OCR frequently linearises them to identical rows (each row = the plain alphabet). The renderer surfaces what the OCR sees; the original rotation is recoverable only by inspecting the facsimile image.
  • Header detection is heuristic: lines matching figure-header patterns are lifted out, but a header buried in continuous prose may be missed.
  • This work contributes 15 cipher-grid chunks.

Provenance

Auto-generated from the OCR'd source by scripts/render_style_cipher_grid.py. Phase 0.5 manual reclassification moved 43 expansion-figure chunks from cipher-key to cipher-grid (see scripts/reclassify_expansion_figures.py).

Per-chunk renderings

Polygraphia VI — cipher-grid chunk full_chunk_0107

Trithemius's tabular ciphers — the alphabet-rotation expansion figures (tabula recta / auersa / aucta), bigram grids, and the numerical Orchema. The source facsimile is shown alongside and is authoritative for the cipher. Where the OCR preserved the rows they are transcribed as a table (illegible cells marked , OCR noise left visible); where it linearised the paired plaintext/cipher columns into identical rows, the misleading grid is omitted in favour of the facsimile. These figures are worked examples, not a single mechanical grid.

Source section 1

c1 c2 c3 c4 c5 c6 c7 c8 c9 c10 c11 c12 c13 c14 c15 c16 c17 c18 c19 c20 c21 c22 c23 c24 c25
wz.yx n t r s q p o n m l k i b g f e d c b a
zyx ut s r q p o n m l k i b g f e d c b a w
yx ut s r q p o n m l k i b g f e d c b a w z
x ut s r q p o n m l k i b g f e d c b a w z y
ut s r q p o n m l k i b g f e d c b a w z y x
ts r q p o n m l k i b g f e d c b a w z y x
sr q p o n m l k i b g f e d c b a w z y x u
q p o n m l k i b g f e d c b a w z y x u t
p o n m l k i b g f e d c b a w z y x u t s
p o n m l k i b g f e d c b a w z y x u t s r
p o n m l k i b g f e d c b a w z y x u t s r q
p o n m l k i b g f e d c b a w z y x u t s r q p
o n m l k i b g f e d c b a w z y x u t s r q p o
n m l k i b g f e d c b a w z y x u t s r q p o n
m l k i b g f e d c b a w z y x u t s r q p o n m
l k i b g f e d c b a w z y x u t s r q p o n m l
k i b g f e d c b a w z y x u t s r q p o n m l k
i b g f e d c b a w z y x u t s r q p o n m l k i
b g f e d c b a w z y x u t s r q p o n m l k i b
g f e d c b a w z y x u t s r q p o n m l k i b g
f e d c b a w z y x u t s r q p o n m l k i b g f
e d c b a w z y x u t s r q p o n m l k i b g f e
d c b a w z y x u t s r q p o n m l k i b g f e d
c b a w z y x u t s r q p o n m l k i b g f e d c
a w z y x u t s r q p o n m l k i b g f e d c b a
w z y x u t s r q p o n m l k i b g f e d c b a w
z y x u t s r q p o n m l k i b g f e d c b a w z
y x u t s r q p o n m l k i b g f e d c b a w z y
x u t s r q p o n m l k i b g f e d c b a w z y x
u t s r q p o n m l k i b g f e d c b a w z y x u
t s r q p o n m l k i b g f e d c b a w z y x u t
s r q p o n m l k i b g f e d c b a w z y x u t s
r q p o n m l k i b g f e d c b a w z y x u t s r
q p o n m l k i b g f e d c b a w z y x u t s r q
p o n m l k i b g f e d c b a w z y x u t s r q p
o n m l k i b g f e d c b a w z y x u t s r q p o
n m l k i b g f e d c b a w z y x u t s r q p o n
m l k i b g f e d c b a w z y x u t s r q p o n m
l k i b g f e d c b a w z y x u t s r q p o n m l
k i b g f e d c b a w z y x u t s r q p o n m l k
i b g f e d c b a w z y x u t s r q p o n m l k i
b g f e d c b a w z y x u t s r q p o n m l k i b
g f e d c b a w z y x u t s r q p o n m l k i b g
f e d c b a w z y x u t s r q p o n m l k i b g f
e d c b a w z y x u t s r q p o n m l k i b g f e
d c b a w z y x u t s r q p o n m l k i b g f e d
c b a w z y x u t s r q p o n m l k i b g f e d c
a w z y x u t s r q p o n m l k i b g f e d c b a
w z y x u t s r q p o n m l k i b g f e d c b a w
z y x u t s r q p o n m l k i b g f e d c b a w z
y x u t s r q p o n m l k i b g f e d c b a w z y
x u t s r q p o n m l k i b g f e d c b a w z y x
u t s r q p o n m l k i b g f e d c b a w z y x u
t s r q p o n m l k i b g f e d c b a w z y x u t
s r q p o n m l k i b g f e d c b a w z y x u t s
r q p o n m l k i b g f e d c b a w z y x u t s r
q p o n m l k i b g f e d c b a w z y x u t s r q
p o n m l k i b g f e d c b a w z y x u t s r q p
o n m l k i b g f e d c b a w z y x u t s r q p o
n m l k i b g f e d c b a w z y x u t s r q p o n
m l k i b g f e d c b a w z y x u t s r q p o n m
l k i b g f e d c b a w z y x u t s r q p o n m l
k i b g f e d c b a w z y x u t s r q p o n m l k
i b g f e d c b a w z y x u t s r q p o n m l k i
b g f e d c b a w z y x u t s r q p o n m l k i b
g f e d c b a w z y x u t s r q p o n m l k i b g
f e d c b a w z y x u t s r q p o n m l k i b g f
e d c b a w z y x u t s r q p o n m l k i b g f e
d c b a w z y x u t s r q p o n m l k i b g f e d
c b a w z y x u t s r q p o n m l k i b g f e d c
a w z y x u t s r q p o n m l k i b g f e d c b a
w z y x u t s r q p o n m l k i b g f e d c b a w
z y x u t s r q p o n m l k i b g f e d c b a w z
y x u t s r q p o n m l k i b g f e d c b a w z y
x u t s r q p o n m l k i b g f e d c b a w z y x
u t s r q p o n m l k i b g f e d c b a w z y x u
t s r q p o n m l k i b g f e d c b a w z y x u t
s r q p o n m l k i b g f e d c b a w z y x u t s
r q p o n m l k i b g f e d c b a w z y x u t s r
q p o n m l k i b g f

Source section 2

Prima figura expansionis tabulae rectae:

Polygraphia VI — cipher-grid chunk full_chunk_0108

Trithemius's tabular ciphers — the alphabet-rotation expansion figures (tabula recta / auersa / aucta), bigram grids, and the numerical Orchema. The source facsimile is shown alongside and is authoritative for the cipher. Where the OCR preserved the rows they are transcribed as a table (illegible cells marked , OCR noise left visible); where it linearised the paired plaintext/cipher columns into identical rows, the misleading grid is omitted in favour of the facsimile. These figures are worked examples, not a single mechanical grid.

Source section 1

a b c d e f g h i j k l m n o p q r s t u v w x y z
b c d e f g h i j k l m n o p q r s t u v w x y z
c d e f g h i j k l m n o p q r s t u v w x y z
d e f g h i j k l m n o p q r s t u v w x y z
e f g h i j k l m n o p q r s t u v w x y z
f g h i j k l m n o p q r s t u v w x y z
g h i j k l m n o p q r s t u v w x y z
h i j k l m n o p q r s t u v w x y z
i j k l m n o p q r s t u v w x y z
j k l m n o p q r s t u v w x y z
k l m n o p q r s t u v w x y z
l m n o p q r s t u v w x y z
m n o p q r s t u v w x y z
n o p q r s t u v w x y z
o p q r s t u v w x y z
p q r s t u v w x y z
q r s t u v w x y z
r s t u v w x y z
s t u v w x y z
t u v w x y z
u v w x y z
v w x y z
w x y z
x y z
y z
z

Hec est prima tabula rectae figura expansionis, quing habens alphabeta per metathesin, literis ut cernitur transpositis. In primo nanque alphabeto pro a capitur b, pro b accipitur c. & ita consequenter ut patet clarius intuenti. In secundo alphabeto pro a, capitur c, intertio d, in quarto e, in quinto f, sic ut ordinis docet locatio.

c1 c2
Expansio continuatur.

Source section 2

Secunda figura expansionis tabulae rectae.

Polygraphia VI — cipher-grid chunk full_chunk_0109

Trithemius's tabular ciphers — the alphabet-rotation expansion figures (tabula recta / auersa / aucta), bigram grids, and the numerical Orchema. The source facsimile is shown alongside and is authoritative for the cipher. Where the OCR preserved the rows they are transcribed as a table (illegible cells marked , OCR noise left visible); where it linearised the paired plaintext/cipher columns into identical rows, the misleading grid is omitted in favour of the facsimile. These figures are worked examples, not a single mechanical grid.

Source section 1

g b c d e f g h i j k l m n o p q r s t u v w x y z
h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z
i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z
j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d

Source section 2

Tertia figura expansionis tabulae rectae,

Polygraphia VI — cipher-grid chunk full_chunk_0110

Trithemius's tabular ciphers — the alphabet-rotation expansion figures (tabula recta / auersa / aucta), bigram grids, and the numerical Orchema. The source facsimile is shown alongside and is authoritative for the cipher. Where the OCR preserved the rows they are transcribed as a table (illegible cells marked , OCR noise left visible); where it linearised the paired plaintext/cipher columns into identical rows, the misleading grid is omitted in favour of the facsimile. These figures are worked examples, not a single mechanical grid.

Source section 1

On the printed page this figure is laid out as paired columns — a plaintext alphabet beside its cipher alphabet, set out as worked examples rather than as one mechanical grid. The OCR linearised those columns into identical rows and cannot preserve the layout, so no transcribed grid is shown here. Read the source facsimile alongside - it is authoritative for this figure.

Source section 2

Quarta figura expansionis tabulae rectae.

Polygraphia VI — cipher-grid chunk full_chunk_0111

Trithemius's tabular ciphers — the alphabet-rotation expansion figures (tabula recta / auersa / aucta), bigram grids, and the numerical Orchema. The source facsimile is shown alongside and is authoritative for the cipher. Where the OCR preserved the rows they are transcribed as a table (illegible cells marked , OCR noise left visible); where it linearised the paired plaintext/cipher columns into identical rows, the misleading grid is omitted in favour of the facsimile. These figures are worked examples, not a single mechanical grid.

Source section 1

On the printed page this figure is laid out as paired columns — a plaintext alphabet beside its cipher alphabet, set out as worked examples rather than as one mechanical grid. The OCR linearised those columns into identical rows and cannot preserve the layout, so no transcribed grid is shown here. Read the source facsimile alongside - it is authoritative for this figure.

Source section 2

Quinta figura expansionis tabulae rectae.

Polygraphia VI — cipher-grid chunk full_chunk_0112

Trithemius's tabular ciphers — the alphabet-rotation expansion figures (tabula recta / auersa / aucta), bigram grids, and the numerical Orchema. The source facsimile is shown alongside and is authoritative for the cipher. Where the OCR preserved the rows they are transcribed as a table (illegible cells marked , OCR noise left visible); where it linearised the paired plaintext/cipher columns into identical rows, the misleading grid is omitted in favour of the facsimile. These figures are worked examples, not a single mechanical grid.

y z a w a c a g i n p r t x z w b d e f h i l m n o p q r s t u v w x y z
z w b a c d e f g h i l m n o p q r s t u v w x y z a b c d e f g h i l m n o p q r s t u v w x y z
w b a c d e f g h i l m n o p q r s t u v w x y z a b c d e f g h i l m n o p q r s t u v w x y z
b a c d e f g h i l m n o p q r s t u v w x y z a b c d e f g h i l m n o p q r s t u v w x y z
a c d e f g h i l m n o p q r s t u v w x y z a b c d e f g h i l m n o p q r s t u v w x y z
c d e f g h i l m n o p q r s t u v w x y z a b c d e f g h i l m n o p q r s t u v w x y z
d e f g h i l m n o p q r s t u v w x y z a b c d e f g h i l m n o p q r s t u v w x y z
e f g h i l m n o p q r s t u v w x y z a b c d e f g h i l m n o p q r s t u v w x y z
f g h i l m n o p q r s t u v w x y z a b c d e f g h i l m n o p q r s t u v w x y z
g h i l m n o p q r s t u v w x y z a b c d e f g h i l m n o p q r s t u v w x y z
h i l m n o p q r s t u v w x y z a b c d e f g h i l m n o p q r s t u v w x y z
i l m n o p q r s t u v w x y z a b c d e f g h i l m n o p q r s t u v w x y z
l m n o p q r s t u v w x y z a b c d e f g h i l m n o p q r s t u v w x y z
m n o p q r s t u v w x y z a b c d e f g h i l m n o p q r s t u v w x y z
n o p q r s t u v w x y z a b c d e f g h i l m n o p q r s t u v w x y z
o p q r s t u v w x y z a b c d e f g h i l m n o p q r s t u v w x y z
p q r s t u v w x y z a b c d e f g h i l m n o p q r s t u v w x y z
q r s t u v w x y z a b c d e f g h i l m n o p q r s t u v w x y z
r s t u v w x y z a b c d e f g h i l m n o p q r s t u v w x y z
s t u v w x y z a b c d e f g h i l m n o p q r s t u v w x y z
t u v w x y z a b c d e f g h i l m n o p q r s t u v w x y z
u v w x y z a b c d e f g h i l m n o p q r s t u v w x y z
v w x y z a b c d e f g h i l m n o p q r s t u v w x y z
w x y z a b c d e f g h i l m n o p q r s t u v w x y z
x y z a b c d e f g h i l m n o p q r s t u v w x y z
y z a b c d e f g h i l m n o p q r s t u v w x y z
z a b c d e f g h i l m n o p q r s t u v w x y z

Hec est quinta et ultima figura expansionis tabula rectae, tria in se continens alphabeta, completque numerum in se tertium atque uicesimum. Cui si addideris alphabetum usuale consurgent iuxta numerum literarum viginti quatuor. Reliqua duo literam trans ferunt in tertiam ponunturque pro exemplo.

c1 c2 c3
Auerfae tabulae expansioni;

Polygraphia VI — cipher-grid chunk full_chunk_0113

Trithemius's tabular ciphers — the alphabet-rotation expansion figures (tabula recta / auersa / aucta), bigram grids, and the numerical Orchema. The source facsimile is shown alongside and is authoritative for the cipher. Where the OCR preserved the rows they are transcribed as a table (illegible cells marked , OCR noise left visible); where it linearised the paired plaintext/cipher columns into identical rows, the misleading grid is omitted in favour of the facsimile. These figures are worked examples, not a single mechanical grid.

Source section 1

Prima figura expansionis tabulae auersae.

a w a z a y a x a u
b x b y b x b u b t
c d c t c r c d c s
d e d s d r d e d t
e f e t e r e f e p
f g f p f o f i
g h g o g m g h
h i h n h l h i
i j i p i m i j
j k j m j n j k
k l k n k o k l
l m l o l p l m
m n m p m q m n
n o n q n r n o
o p o r o s o p
p q p s p t p q
q r q t q u q r
r s r u r v r s
s t s v s w s t
t u t w t x t u
u v u x u y u v
v w v y v z v w
w x w z w a w x
x y x b x c x y
y z y c y d y z
z a z d z e z a
a b a e a f a b
b c b f b g b c
c d c g c h c d
d e d h d i d e
e f e i e j e f
f g f j f k f g
g h g k g l g h
h i h l h m h i
i j i m i n i j
j k i n j o j k
k l j o k p k l
l m j p l q l m
m n j q m r m n
n o j r n s n o
o p j s o t o p
p q j t p u p q
q r j u q v q r
r s j v r w r s
s t j w s x s t
t u j x t y t u
u v j y u z u v
v w j z v a v w
w x k a w b w x
x y k b x c x y
y z k c y d y z
z a k d z e z a
a b k e a f a b
b c k f b g b c
c d k g c h c d
d e k h d i d e
e f k i e j e f
f g k j f k g
g h k l g k h
h i k m h k i
i j k n i k j
j k l o j k l
l m l p l m
m n l q m n
n o l r n o
o p l s o p
p q l t p q
q r l u q r
r s l v r s
s t l w s t
t u l x t u
u v l y u v
v w l z v w
w x m a w b w x
x y m b x c x y
y z m c y d y z
z a m d z e z a
a b m e a f a b
b c m f b g b c
c d m g c h c d
d e m h d i d e
e f m i e j e f
f g m j f k g
g h m k g l h
h i m l h k i
i j m n i k j
j k m o j k l
l m m p l m
m n m q m n
n o m r n o
o p m s o p
p q m t p q
q r m u q r
r s m v r s
s t m w s t
t u m x t u
u v m y u v
v w m z v w
w x n a w b w x
x y n b x c x y
y z n c y d y z
z a n d z e z a
a b n e a f a b
b c n f b g b c
c d n g c h c d
d e n h d i d e
e f n i e j e f
f g n j f k g
g h n k g l h
h i n l h k i
i j n m i k j
j k n o j k l
l m n p l m
m n n q m n
n o n r n o
o p n s o p
p q n t p q
q r n u q r
r s n v r s
s t n w s t
t u n x t u
u v n y u v
v w n z v w
w x o a w b w x
x y o b x c x y
y z o c y d y z
z a o d z e z a
a b o e a f a b
b c o f b g b c
c d o g c h c d
d e o h d i d e
e f o i e j e f
f g o j f k g
g h o k g l h
h i o l h k i
i j o m i k j
j k o n j k l
l m o p l m
m n o q m n
n o o r n o
o p o s o p
p q o t p q
q r o u q r
r s o v r s
s t o w s t
t u o x t u
u v o y u v
v w o z v w
w x p a w b w x
x y p b x c x y
y z p c y d y z
z a p d z e z a
a b p e a f a b
b c p f b g b c
c d p g c h c d
d e p h d i d e
e f p i e j e f
f g p j f k g
g h p k g l h
h i p l h k i
i j p m i k j
j k p n j k l
l m p o l m
m n p q m n
n o p r n o
o p p s o p
p q p t p q
q r p u q r
r s p v r s
s t p w s t
t u p x t u
u v p y u v
v w p z v w
w x q a w b w x
x y q b x c x y
y z q c y d y z
z a q d z e z a
a b q e a f a b
b c q f b g b c
c d q g c h c d
d e q h d i d e
e f q i e j e f
f g q j f k g
g h q k g l h
h i q l h k i
i j q m i k j
j k q n j k l
l m q o l m
m n q p m n
n o q r n o
o p q s o p
p q q t p q
q r q u q r
r s q v r s
s t q w s t
t u q x t u
u v q y u v
v w q z v w
w x r a w b w x
x y r b x c x y
y z r c y d y z
z a r d z e z a
a b r e a f a b
b c r f b g b c
c d r g c h c d
d e r h d i d e
e f r i e j e f
f g r j f k g
g h r k g l h
h i r l h k i
i j r m i k j
j k r n j k l
l m r o l m
m n r p m n
n o r q n o
o p r s o p
p q r t p q
q r r u q r
r s r v r s
s t r w s t
t u r x t u
u v r y u v
v w r z v w
w x s a w b w x
x y s b x c x y
y z s c y d y z
z a s d z e z a
a b s e a f a b
b c s f b g b c
c d s g c h c d
d e s h d i d e
e f s i e j e f
f g s j f k g
g h s k g l h
h i s l h k i
i j s m i k j
j k s n j k l
l m s o l m
m n s p m n
n o s q n o
o p s r o p
p q s t p q
q r s u q r
r s s v r s
s t s w s t
t u s x t u
u v s y u v
v w s z v w
w x t a w b w x
x

Source section 2

Secunda figura expansionis tabulae rectae.

Polygraphia VI — cipher-grid chunk full_chunk_0114

Trithemius's tabular ciphers — the alphabet-rotation expansion figures (tabula recta / auersa / aucta), bigram grids, and the numerical Orchema. The source facsimile is shown alongside and is authoritative for the cipher. Where the OCR preserved the rows they are transcribed as a table (illegible cells marked , OCR noise left visible); where it linearised the paired plaintext/cipher columns into identical rows, the misleading grid is omitted in favour of the facsimile. These figures are worked examples, not a single mechanical grid.

On the printed page this figure is laid out as paired columns — a plaintext alphabet beside its cipher alphabet, set out as worked examples rather than as one mechanical grid. The OCR linearised those columns into identical rows and cannot preserve the layout, so no transcribed grid is shown here. Read the source facsimile alongside - it is authoritative for this figure.

Polygraphia VI — cipher-grid chunk full_chunk_0115

Trithemius's tabular ciphers — the alphabet-rotation expansion figures (tabula recta / auersa / aucta), bigram grids, and the numerical Orchema. The source facsimile is shown alongside and is authoritative for the cipher. Where the OCR preserved the rows they are transcribed as a table (illegible cells marked , OCR noise left visible); where it linearised the paired plaintext/cipher columns into identical rows, the misleading grid is omitted in favour of the facsimile. These figures are worked examples, not a single mechanical grid.

Tertia figura expansionis tabulae auserae.

On the printed page this figure is laid out as paired columns — a plaintext alphabet beside its cipher alphabet, set out as worked examples rather than as one mechanical grid. The OCR linearised those columns into identical rows and cannot preserve the layout, so no transcribed grid is shown here. Read the source facsimile alongside - it is authoritative for this figure.

Polygraphia VI — cipher-grid chunk full_chunk_0116

Trithemius's tabular ciphers — the alphabet-rotation expansion figures (tabula recta / auersa / aucta), bigram grids, and the numerical Orchema. The source facsimile is shown alongside and is authoritative for the cipher. Where the OCR preserved the rows they are transcribed as a table (illegible cells marked , OCR noise left visible); where it linearised the paired plaintext/cipher columns into identical rows, the misleading grid is omitted in favour of the facsimile. These figures are worked examples, not a single mechanical grid.

Quarta figura expansionis tabulae auserae

c1 c2 c3 c4 c5 c6 c7
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl mno pqr stuv wxyz
abcd efgh ijkl m

Polygraphia VI — cipher-grid chunk full_chunk_0117

Trithemius's tabular ciphers — the alphabet-rotation expansion figures (tabula recta / auersa / aucta), bigram grids, and the numerical Orchema. The source facsimile is shown alongside and is authoritative for the cipher. Where the OCR preserved the rows they are transcribed as a table (illegible cells marked , OCR noise left visible); where it linearised the paired plaintext/cipher columns into identical rows, the misleading grid is omitted in favour of the facsimile. These figures are worked examples, not a single mechanical grid.

Quinta figura expansionis tabulae rectae.

On the printed page this figure is laid out as paired columns — a plaintext alphabet beside its cipher alphabet, set out as worked examples rather than as one mechanical grid. The OCR linearised those columns into identical rows and cannot preserve the layout, so no transcribed grid is shown here. Read the source facsimile alongside - it is authoritative for this figure.

Polygraphia VI — cipher-grid chunk full_chunk_0118

Trithemius's tabular ciphers — the alphabet-rotation expansion figures (tabula recta / auersa / aucta), bigram grids, and the numerical Orchema. The source facsimile is shown alongside and is authoritative for the cipher. Where the OCR preserved the rows they are transcribed as a table (illegible cells marked , OCR noise left visible); where it linearised the paired plaintext/cipher columns into identical rows, the misleading grid is omitted in favour of the facsimile. These figures are worked examples, not a single mechanical grid.

Source section 1

On the printed page this figure is laid out as paired columns — a plaintext alphabet beside its cipher alphabet, set out as worked examples rather than as one mechanical grid. The OCR linearised those columns into identical rows and cannot preserve the layout, so no transcribed grid is shown here. Read the source facsimile alongside - it is authoritative for this figure.

Source section 2

c1 c2
Lectori S.

Polygraphia VI — cipher-grid chunk full_chunk_0121

Trithemius's tabular ciphers — the alphabet-rotation expansion figures (tabula recta / auersa / aucta), bigram grids, and the numerical Orchema. The source facsimile is shown alongside and is authoritative for the cipher. Where the OCR preserved the rows they are transcribed as a table (illegible cells marked , OCR noise left visible); where it linearised the paired plaintext/cipher columns into identical rows, the misleading grid is omitted in favour of the facsimile. These figures are worked examples, not a single mechanical grid.

Source section 1

c1 c2
Ordo literarum numeralium antiquus.
ccc 80000000
cccc 100000000
D 50000000
dc 50000000
dcc 70000000
dcce 80000000
dcccc 90000000
c 100000000
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c

Source section 2

IACOBI MAIORIS APOSTOLI HERBIPO
lenis Liber Polygraphiae Sextus
initium fumit.
nte omnem inuentionem et usum literarum in primordio mundi
cum homines adhuc rudes essent ingenio et moribus inculti, sub
tribum communicatione uicissitudinis regimen, ut quidam opinan
tur intelligentiarum per annos mille sexaginta tres sibi per ordinem suc
cedentes, erant in orbe planetarum influentia corporibus in terra suo mo
do praestantes. Dicunt huius rei speculatores antiqui Saturnum à mundi
principio germinatis in terra nascentibus praefuisse influendo principali
ter sua moderante intelligentia, quam Orisielem, hoc est uiificantem dei
nuncuparunt, annis lunaribus trecentis quinquaginta quatuor, mensibus
item quatuor, ac diebus horisque totidē. Quae nos ut poetica recensemus, nō
confirmamus. Post Saturnũ Venus, post Venerẽ Iupiter dominii ponitur
assumpfisse. Post Iouem uero Mercurius in ordine quartus dominator, in
gemia hominum diueris artibus decorauit. Sub tribus autem intelligentijs
memoratis Saturno uidelicet, Venere, et Ioue dominantibus, afferunt ho
mimes non babuisse usum uel notitiam literarum. Vnde quotiens alter alte
ri uoluisset aliquid nunciare secreti, non id scriptis cum officium defue
rit literarum, sed quibusdam similitudinibus animalium, arborum et plan
tarum, seu aliorum sensibilium alicius prout inter se quique conuenerant
symbolicè faciebant. Saturni tempus mores dedit, ut aiunt, hominibus in
fluentie propriè conuenientes. Fecit enim agricultores, uenatores, conde
tores urbiũm, rudes, siluae tres, tristes, simplices, uita et moribus incultos,
f ii

Polygraphia VI — cipher-grid chunk full_chunk_0128

Trithemius's tabular ciphers — the alphabet-rotation expansion figures (tabula recta / auersa / aucta), bigram grids, and the numerical Orchema. The source facsimile is shown alongside and is authoritative for the cipher. Where the OCR preserved the rows they are transcribed as a table (illegible cells marked , OCR noise left visible); where it linearised the paired plaintext/cipher columns into identical rows, the misleading grid is omitted in favour of the facsimile. These figures are worked examples, not a single mechanical grid.

Source section 1

approbat
coprobat
improb9
probus
probitas
iprobitas
pbabilis
reprobat
modus
modulus
modestus
immodest9
modicus
immodicus
commodus
incommod9
accõmodat
in modum
ad modum
quêadmodũ
epistola
litera
literae.
syllaba
tempus
per temp9
per idẽtps
temporalis
extẽporalis
homo
Memoriam postulat iste modus scribendi magnem, & laboremlegendi
penitus ingentem, ubi quilibet character aut dictionem significat integram, aut syllabã ultimam sive partẽ orationis aliqua ad compositionẽ to
tius idoneã. Obmissis igitur notis omnibus, alphabetũ trahamus ex paucis.
ab
bb
cc
d
e
f
g
h
i
j
k
l
m
n
o
p
pp
q
r
s
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Source section 2

Possent alia plura ex notis Ciceronis nova formari alphabeta, quorum extractionem arbitrio uolentis permittimus agendum. Liber etenim copiosus est, & notas continet multas, à se inuicem notabiliter discrepantes, quae omnes feruunt scribentibus.

a b c d e f g h i k l m
n p q r s t u v w
x y z

Hoc fuit alphabetum Iaimielis magni regis Articorum cognomèto Megalopy uiri sapientissimi quo utebatur in arcanis, quod et ipsum plura= liter potest mutari. Cui et nos amore principis nostrum subieccimus istud in quo crebrius per tempora usitatus facilior scriba fiet.

a b c d e f g h i k l m n
o p q r s t u v w
x y z

Source section 3

QUEMADMODVM ET NVMERIS ALIISQUE MULTIS et VARIIS MODIS TUTO SCRIBERE POSSIMUS QUAELEHET SECRETA.

Polygraphia VI — cipher-grid chunk full_chunk_0129

Trithemius's tabular ciphers — the alphabet-rotation expansion figures (tabula recta / auersa / aucta), bigram grids, and the numerical Orchema. The source facsimile is shown alongside and is authoritative for the cipher. Where the OCR preserved the rows they are transcribed as a table (illegible cells marked , OCR noise left visible); where it linearised the paired plaintext/cipher columns into identical rows, the misleading grid is omitted in favour of the facsimile. These figures are worked examples, not a single mechanical grid.

Source section 1

P VERILIA SUNT ISTA FATEOR CUM UNUSQUIQS PRO SUO CAPTU ET ARBITRIO PLURA UENUSTIORA POSSIT CONFINGERE ALPHABETA QUAM NOS IN UOLUMINE CONSIGNAVIMUS. PROPTEREA SCIENTER PLURA OBMITTIMUS, QUE SIMILIS RATIONE PVERILIA, UULGARIA et PARUX UTILITATIS ESSE IUDICAMUS. PUDEBIT NOS OLIM VEREMUR HIS NANIJS INSENDISSE ANIMUM UTILIORIBUS INTERMISIS. SED PARCANT MIHI PRECOR LECTORES, QUIPPE QUEM UOLUNTAS QUIDEM PROPIA RETRAXIT AB HIS STUDIJS PVERILIBUS, NE DICAM IN PARTEM SALTEM UANIS, SED QUORUNDAM INSTANTIA UT EAS SCRIBEREM ME COMPULIT AMICORUM QIBUS ID NEGA RE NEC POTUI NEC DEBUI SINE INIURIA NECESITUDINIS CONTRACTE. QORUMNIE HILOMINUS PRECATIONE INDUCATUS, ETIA CAPITULUM SEQUES ME OPORTUIT PRESCRIPTIS CONNECTERE, & PRO LITERIS NUMEROS COLLOCARE. VARIOS ENIM ATQ; MULTIPLEX SCRIBEDI MODOS, UETERES OB NUMERORUM FIGURAS COLLOCARUNT, QUIBUS ADINUENTIONE SUBTILI ARCANA SUA TUTO IN ALTERUTRUM TRASMISERUNT. PRECI BUS ITAQ; AMICORUM PERSUASI, PAUCOS EX MULTIS IN FINE HUIUS LIBRI SEXTI MODOS POSUIMUS, QUIBUS ITER AD NOTICIAM ALIORUM PATEAT NESCENTIBUS. NAM SI QUEM ISTA SCIRE DELECTAT FACILE POTERIT AB CIS COGNITIS AD ALTIORA CONSENDERE, & MODOS INUENTIS MULTIPLEX VICISSITUDINE PRO SUO ARBITRIO VARIARE. PRO CUIUS REI PRINCIPIO TABULAM POSUIMUS SUB ORCHEMATE, QUA LECTIONE VARIATA IN MODUM CRUCIS ALPHABETA IN SE CONTINEBIT SEX et NONAS GINTE.

Orchema

Source section 2

Orchema numerale pro literis.

c1 c2 c3 c4 c5 c6 c7 c8 c9 c10 c11 c12 c13 c14 c15 c16 c17 c18 c19 c20 c21 c22 c23 c24 c25
wz yx n t s r q p o n m l k i h g f e d c b A
Ab cd c f i g h i E l m n o p q r s t u x y z w
A 6 7 3 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 13 29 4 w
b 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 b
c 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 c
d 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 d
e 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 e
f 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 f
g 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 g
h 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 h
i 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 i
j 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 j
k 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 k
l 17 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 l
m 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 m
n 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 n
o 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 o
p 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 p
q 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 q
r 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 r
s 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 s
t 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 t
u 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 u
v 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 v
w 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 w
x 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 x
y 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 y
z 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 z
A b c d e f g h i k l m n o p q r s t u v w x y z w
wz yx ut sr q p on ml ti h g fe dc bA

Quisquis orchematis huius tabulam recte intelligit, alphabeta ex ea quorquot voluerit sibi componet. Exempli gratia latinorum grammata transuersaliter et quatuor angulis sibi obuiantia locuimus, ut transpositionis saltum in infinitum preberemus. Scribentibus opus erit industria, ne multitudine numerorum confundat memoriam vel intellectum.

Source section 3

c1 c2 c3 c4
Prima tabula expansionis anomala.