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Polygraphia (book)

Polygraphia (book) is a computer science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Polygraphia (book) rather than just read about it. In short: Polygraphia is a cryptographic work written by Johannes Trithemius published in 1518 dedicated to the art of steganography. The full title is Polygraphiae libri sex, Ioannis Trithemii abbatis Peapolitani, quondam Spanheimensis, ad Maximilianum Caesarem [Six books of polygraphy, by Johannes Trithemius, abbot at Würzburg, formerly at Spanheim, for the Emperor Maximilian ].

Polygraphia (book) — main illustration
Polygraphia (book) — illustration

Key takeaways

  • Polygraphia (book) belongs to computer science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Polygraphia (book) to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Polygraphia (book) from memory before moving on to harder problems.

Reference excerpt

Polygraphia is a cryptographic work written by Johannes Trithemius published in 1518 dedicated to the art of steganography. The full title is Polygraphiae libri sex, Ioannis Trithemii abbatis Peapolitani, quondam Spanheimensis, ad Maximilianum Caesarem [Six books of polygraphy, by Johannes Trithemius, abbot at Würzburg, formerly at Spanheim, for the Emperor Maximilian ]. It is the oldest known source of the popular witches' alphabet, used at large by modern traditions of witchcraft.

Review

It is composed of six books and a decryption key.

Book I contains no fewer than 384 alphabets (called "minutiae" by the author) of 24 letters (or "degrees"): each letter corresponds to a Latin word (noun, verb, adjective, etc.) in reference to Christian prayers and religious texts, being in total 9,216 different words. This is nowadays known as the Ave Maria cipher, which mostly uses only a few of the first alphabets. Book II contains 308 more Latin alphabets with 7,392 words, again using Latin words with mostly religious context. Book III presents 132 alphabets in three columns which are 3,168 dictions of a "universal language" where each letter is equivalent to an invented word (for example "a" could be Abra, mada, badar, cadalan, pasa etc.) but capable of expressing numbers (from 1 to 10 would be Abra, Abre, Abri, Abro, Abru, Abras, Abres, Abris, Abros and Abrus). Book IV shows 2,880 invented alphabet dictions in 120 alphabets. To decode, one must simply extract the second letter of each word. Book V reproduces two canonical hash tables, one direct with 80 alphabets and the other inverted with 98 alphabets, allowing infinite permutations, to which twelve "planispheric wheels" each comprising six categories of 24 numbers combined with the 24 letters and thus allowing a big amount of elaborate ciphered messages. Book VI is a collection of (partly alleged) ancient alphabets, including Germanic-Franconian, Ethiopian, Norman, Magical and Alchemical. The work ends with alphabets of his invention such as the "tetragramaticus" formed by 4 characters that are diversified in 24 letters, and the "enagramaticus" of 9 characters and 28 letters, of which he gives examples of writing that seemingly belongs to a natural language.

Relationship with Steganographia According to some scholars, both books, Steganographia and Polygraphia, are but a single work presented in two parts: the first is metaphysical and quite theoretical (it even hides a complete treatise on "angelology", or the study of angels with their names and hierarchies, between its pages), the second is more practical and is used for encoding messages.

See also History of cryptography Johannes Trithemius Polygraphia Nova

References

Bibliography Polygraphiae libri sex Ioannis Trithemij George Fabyan Collection at the Library of Congress Steganographia (Latin). Digital Edition, 1997 Steganographia (Latin). Google Books, 1608 edition Steganographia (Latin). Google Books, 1621 edition Solved: The Ciphers in Book iii of Trithemius's Steganographia, PDF, 208 kB Hill Monastic Manuscript Library article on Trithemius (includes links to photographs of various Trithemius first editions.) (in Italian)The complete and solved Steganography books Steganographia qvæ hvcvsqve a nemine intellecta George Fabyan Collection at the Library of Congress

External links

Works by or about Johannes Trithemius at the Internet Archive Herbermann, Charles, ed. (1913). "John Trithemius" . Catholic Encyclopedia. New York: Robert Appleton Company. Trithemius Redivivus Translations and resources pertaining to the Steganographia of Johannes Trithemius

Illustrations

Polygraphia (book) illustration
Polygraphia (book): Example alphabet.
Example alphabet.

Worked examples

Example 1 — a first encounter with Polygraphia (book)

Start with the simplest possible case. Write down what Polygraphia (book) claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In computer science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Polygraphia (book) before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Polygraphia (book) ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Polygraphia (book)

In research
Polygraphia (book) appears in computer science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Polygraphia (book) in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Polygraphia (book) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1518 books, 16th-century books in Latin, Cryptography books, so understanding it makes those chapters shorter.
In everyday life
Look for Polygraphia (book) outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Polygraphia (book) in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Polygraphia (book) means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Polygraphia (book) out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Polygraphia (book) in simple terms?

Polygraphia is a cryptographic work written by Johannes Trithemius published in 1518 dedicated to the art of steganography. The full title is Polygraphiae libri sex, Ioannis Trithemii abbatis Peapolitani, quondam Spanheimensis, ad Maximilianum Caesarem [Six books of polygraphy, by Johannes Trithemi…

Why does Polygraphia (book) matter?

Because it connects several computer science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Polygraphia (book)?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Polygraphia (book).

Tags

  • 1518 books
  • 16th-century books in Latin
  • Cryptography books

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