Ordering phenomenon · operators and stroke order
Kanji Morphology

Stroke order · ordered realization

筆順 · operator trees

Operator trees and stroke order

Each of the 2,136 jōyō characters as an operator expression over its KanjiVG component tree, and whether a depth-first walk in spatial order matches the recorded stroke order.

These are counts in one KanjiVG snapshot. A count is not a rule of stroke order. The page makes no claim about meaning.

Cinnabar is the first group in data-stroke-highlight, indigo the next, ochre the third. A plate without that attribute is not recolored. Click a plate to replay. With reduced motion the finished character stays still, and the colors stay. The draw timings are unchanged. The plate stays cream in either theme.

On this page

How an expression is read

Operator
An Ideographic Description Character. The operator of a group is the row whose position multiset equals the kvg:position values on that group’s slots. A slot is one slot from slots_of. A run of paths is one slot. Sibling groups that share kvg:element and kvg:number and carry kvg:part are one slot.
Argument
The arguments are those slots, in the spatial order of the row. The number of arguments is the valence. It is not a stroke count.
Spatial order
Left before right. Top before bottom. Top, then middle, then bottom. The outer part before the inner part. The walk is depth-first in that order. The order is the map row. It is the positions, not the order of the children in the file.
Hit
Every composition in the tree has a row in the map, and the spatial walk emits stroke 1, then 2, and on to N.
Inside first
A mapped enclosure, ⿴ or ⿵ or ⿸ or ⿺, whose two arguments are each one block, and the inner block ends before the outer block starts. A character in this class is counted here only.
Frame last
A kamae, tare, or ⿵A slot is not one block, and some other stroke of the same parent lies strictly inside its span. A character already counted as inside-first stays there.
Part split
A kvg:part slot is not one block, and the character is not inside-first and not frame-last.
Unmapped
Some composition has no row in the map, and none of the three classes above applies. The group is counted. No order is assigned to it.
Document order
In this snapshot every path element appears in the file as stroke 1, then 2, and on to N. A walk that follows the file is true of every character. That walk is not the test.

The position map

Position multiset to operator

Operator Positions Spatial order Nodes Slots in row order Slots in another order

Document order

The totals

By top-level operator

Character group

Operator Hit Inside first Frame last Part split Unmapped Total

By tree depth

Depth of the character

Depth Hit Inside first Frame last Part split Unmapped Total

Reduced forms and partial forms

Marks inside the five classes

Class Characters Reduced Partial

Unmapped position sets

Positions with no row

Positions Nodes

Shared sub-expressions

One expression, several characters

Expression Characters Where it occurs

The element 寺

Character Expression 寺 group Inner positions

The asked expressions

Character Asked In the file Class

Inside first

Every character in the class

Character Expression Operator Strokes Depth

Frame last

Every character in the class

Character Expression Operator Strokes Depth

Part split

Fewest strokes

Character Expression Strokes

Plates

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