Logology is the study of recreational linguistics, an activity that encompasses a wide variety of word game

Word game

Word games and puzzles are spoken or board games often designed to test ability with language or to explore its properties.Word games are generally engaged as a source of entertainment, but have been found to serve an educational purpose as well...

s and wordplay emphasizing letter

Letter

A letter is a written message from one party to another. The role of letters in communication has changed significantly since the nineteenth century...

 patterns. The field is in ways analogous to recreational mathematics

Recreational mathematics

Recreational mathematics is an umbrella term, referring to mathematical puzzles and mathematical games.Not all problems in this field require a knowledge of advanced mathematics, and thus, recreational mathematics often attracts the curiosity of non-mathematicians, and inspires their further study...

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Some topics that are studied in logology include lipogram

Lipogram

A lipogram is a kind of constrained writing or word game consisting of writing paragraphs or longer works in which a particular letter or group of letters is avoided — usually a common vowel, and frequently "E", the most common letter in the English language.Writing a lipogram is a trivial task...

s, acrostic

Acrostic

An acrostic is a poem or other form of writing in which the first letter, syllable or word of each line, paragraph or other recurring feature in the text spells out a word or a message. As a form of constrained writing, an acrostic can be used as a mnemonic device to aid memory retrieval. A famous...

s, palindrome

Palindrome

A palindrome is a word, phrase, number, or other sequence of units that can be read the same way in either direction, with general allowances for adjustments to punctuation and word dividers....

s, tautonyms, isogram

Isogram

An isogram is a logological term for a word or phrase without a repeating letter. It is also used by some to mean a word or phrase in which each letter appears the same number of times, not necessarily just once....

s, pangram

Pangram

A pangram , or holoalphabetic sentence, is a sentence using every letter of the alphabet at least once. Pangrams have been used to display typefaces, test equipment, and develop skills in handwriting, calligraphy, and keyboarding...

s, bigram

Bigram

Bigrams or digrams are groups of two written letters, two syllables, or two words, and are very commonly used as the basis for simple statistical analysis of text. They are used in one of the most successful language models for speech recognition...

s, trigram

Trigram

Trigrams are a special case of the N-gram, where N is 3. They are often used in natural language processing for doing statistical analysis of texts.-Frequency:The 16 most common trigrams in English are:-Examples:...

s, tetragram

Tetragram

The word tetragram describes any word that is exactly four letters long.Tetragram can also refer to:*the Tetragrammaton, the Hebrew name for God, sometimes written as YHWH *a Tai Xuan Jing symbol with four lines...

s, transdeletion pyramid

Transdeletion pyramid

A transdeletion pyramid is a logological term for the triangular representation of a list of words in which each one is a scrambled form of the above word without one letter....

s, pangrammatic window

Pangrammatic window

A pangrammatic window is a stretch of naturally occurring text that contains all the letters in the alphabet.-Shortest examples:Until recently, the shortest known window was found in Lillie de Hegermann-Lindencrone's 1912 book In the Courts of Memory: "I sang, and thought I sang very well; but he...

s etc.

Etymology

The term "logology" was in the past used to refer to the science of word studies but was adopted by Dmitri Borgmann

Dmitri Borgmann

Dmitri A. Borgmann is an author best known for coining the word logology and for writing Language On Vacation: An Olio of Orthographical Oddities, published in 1965. This book led Ross Eckler and Trip Payne to join the National Puzzlers' League...

to refer to recreational linguistics.