Jamdoku

sudoku untethered

“Too peculiar.”

Referee’s report Society for Mathematical Inquiry
Open the catalogue

Jamdoku at a glance

Familiar logic. Far more freedom.

Jamdoku is a family of grid-based logic puzzles. If you know Sudoku, you already know the essential idea: each value appears once in every row, column and region (or “cob”). Jamdoku lets almost everything else change.

  • More than one grid.

    Explore distinct shapes, scales and structures rather than one permanently fixed layout.

  • A fresh point of view.

    Grids can turn or reorient, inviting you to see familiar relationships differently. A fresh perspective, not a penalty.

  • Play one, or follow a chain.

    Choose a single curiosity or a sequence shaped around the time you have available.

  • Find the forms you enjoy.

    Every grid has measurable structural character, allowing the catalogue to be compared, explored and curated.

One new word

Rows. Columns. Cobs.

Jamdoku calls the third family of groups : each cob contains every value once, just as every row and column does. A cob need not be a neat box.

Why “cob”? The answer involves a Victorian lamppost, a cobweb and Fitzwilliam L. Plumridge.

01

The Jamiforme Taxonomy

The catalogue itself

Pseudoku was only one form.

The familiar ordinal-nine grid occupies the centre of Plumridge’s taxonomy—not its boundary.

Across the wider catalogue, rows, columns and preserve their own uniqueness while shapes change, scale changes and new relationships emerge. The logic remains exact.

Fig. 12 — Reduction of the Klausüberwunder

From Plumridge’s notebooks

“Klaus paid dearly for the beauteous thirty-six-by-thirty-six tableau that bears his name: the pursuit of the Klausüberwunder cost him his reason.

I resolved, therefore, to halve the cob in each dimension—from six cells to three—thereby keeping my undertaking within the compass of my own sanity, and that of humankind. What emerged was smaller, yet no less beauteous: a regular schema of the ninth ordinal, which I named the Pseudo-K.U., in allusion to my lost friend’s fateful creation. In his honour, I enter it in the Jamiforme Taxonomy, numbering some two score schemata.

Thus was Pseudoku born.”

— F. L. Plumridge
03

Ways to play

Choose an undertaking

Time well misspent.

A / Principal cabinet

Ambition Cabinet

Tell Jamdoku how much time you have. The cabinet assembles a varied sequence of compatible challenges intended to fit the interval—from a short wait to an hour’s journey.

20min 40min 60min

B / Daily cabinet

Pickle-du-Jour

A free daily selection: something fresh, curious and sufficiently preserved to await your attention.

C / Legacy cabinet

Sudo-ku-saurus

Pseudoku in its familiar nine-by-nine habitat, without disorientation and offered at a range of difficulties.

D / Graduated cabinet

Progression

A curated course that moves between easier and harder forms, allowing capability to grow through experiment rather than ordeal.

Plate I The Cairo Tableau

Fifteen glyphs survive. Thirty-four absences. No surviving glyph repeats in any row or column.

The Plumridge papers

The puzzle has another history.

In the 1850s, Fitzwilliam L. Plumridge encountered a seven-by-seven tableau: fifteen hieroglyphs set among thirty-four absences. His attempt to restore it led from rows and columns to cobs, from collaboration to obsession, and finally to a taxonomy filed a century too late.

  1. The Cairo TableauAn absence becomes a problem.
  2. Too peculiarThe Society declines Plumridge’s first paper.
  3. The KlausüberwunderA manuscript burns; a mathematician disappears.
  4. The Jamiforme TaxonomySubmitted once. Opened one hundred years late.

Present-day notice

Jamdoku is in private testing for Android.

The catalogue is being opened deliberately. Release and store information will be published here when public play begins.

Jamdoku field guide

Glossary & Taxonomy

The Plumridge Dimension

Three kinds of uniqueness.

Rows supply one direction of constraint; columns supply another. Cobs supply the third. Plumridge claimed the idea arrived while studying a cobweb caught between a lamppost and its crossbar.

Cob
A group of cells that must contain every value once, just like a row or column. Cobs need not resemble Sudoku’s regular boxes.
Schema
The complete arrangement of cobs that defines a particular grid form.
Disorientation
A change of viewpoint—such as turning or reorienting the grid—that invites a fresh perspective, not a penalty.
Beautifactions
The four Axes of Beautifaction—Expansity, Connexity, Polymorphism and Tortuosity—are comparable measurements of a schema’s geometry and structural character. They describe its form, not its difficulty.
Expansity
How widely the cobs spread and sprawl across the grid.
Connexity
How extensively the cobs interleave across rows and columns.
Polymorphism
The variety and balance of cob shapes within a schema.
Tortuosity
The turning, raggedness and intricacy of the boundaries between cobs.
Complexion
The selected level of challenge at which a puzzle is composed.
Imposition
The anticipated undertaking for a particular player. It combines the schema’s four Beautifactions, weighted by that player’s performance profile, with the selected Complexion.
Awkwardity
An estimate of how much unresolved choice a particular puzzle position presents, based on its blanks and remaining candidates. Unlike Beautifactions, it belongs to a pose rather than permanently to its schema.

The Jamiforme Taxonomy

Four families. Ten terminal forms.

A precedence-ordered classification based on whole-schema Identity under Disorientation. Colours are ignored; every schema receives exactly one terminal classification.

Jamiforme Taxonomy
Regular FormsKlaudites · Paraklauds · Trans-Klaudines
Structured SchemataCompotiques · Planivarids · Orbitants · Skewthanes
Irregular FormsRecurians · Perimars
OneiroidsOneiroid

Regular Forms

Full horizontal and vertical mirror closure; distinguished principally by cob morphology.

Klaudite
Congruent square cobs in a regular orthogonal tiling.
Paraklaud
Congruent non-square rectangular cobs in a regular orthogonal tiling.
Trans-Klaudine
One polymorphic cob-shape family with regular-form closure, but neither Klaudite nor Paraklaud.

Structured Schemata

Classified by the Disorientation symmetry group of the schema as a whole.

Compotique
Identity under the complete square Disorientation symmetry set.
Planivarid
Paired mirror and half-turn Identity, without a quarter-turn.
Orbitant
Quarter-turn rotational Identity without mirror precedence.
Skewthane
Half-turn Identity only; no quarter-turn or mirror Identity.

Irregular Forms

Exactly one mirror Identity and no rotational Identity; divided by cob-shape equivalence.

Recurian
All cobs belong to one polymorphic cob-shape family.
Perimar
A Peripheral Marginal possessing more than one cob-shape family.

Oneiroids

A separate top-level classification with no subordinate classes.

Oneiroid
No non-trivial whole-schema Identity under any Disorientation operation.