Data • Analytics • Evaluated AI

Opening positions, across move orders

Explore recurring boards, route diversity and study-set coverage in two public cohorts.

Generated from maintained Markdown, contracts and recorded evidence. Repository guides

Measured public-corpus analysis

Different routes can lead to one board. Explore which boards recur and how much a small study set covers. Learning rationale and illustrative walkthrough · Metric definitions

Measured from retained games

Find positions worth studying together

Rank White decisions after Black's moves 3–10. A recurring position appears in at least two games; a transposing position has at least two distinct arrival move orders without repetition loops. A game counts once per position.

Elite reference · 240,086 eligible games. Top 20 transposing positions reach 56,861 distinct games (23.7%).

Opening names/ECO are recorded game labels, not definitions of the board position. The filter includes the twelve largest eligible labeled families per cohort; complete family counts are available below.

Most frequent transposing positions · Elite
RankPosition GamesFrequency Move orders Alternative-route share
11.e4 c5 2.Nf3 d6 3.d4 cxd48,4653.53%80.71%
21.e4 c5 2.Nf3 d6 3.d4 cxd4 4.Nxd4 Nf67,6093.17%100.71%
31.d4 Nf6 2.c4 e6 3.Nf3 d56,4312.68%2866.72%
41.e4 c5 2.Nf3 d6 3.d4 cxd4 4.Nxd4 Nf6 5.Nc3 a64,7141.96%317.21%
51.d4 Nf6 2.c4 e6 3.Nc3 Bb44,4541.86%83.91%

Most frequent transposing position

Most frequent Elite transposing position, White to move

8,465 games · White to move.

How much does a study set cover?

Positions ranked by frequency. Each game counts once across the set. The next position can overlap games already covered.

Coverage and marginal gains table

Different routes, fewer endpoints

Endpoint compression at each depth: 1 − distinct positions / distinct acyclic routes. Both cohorts include all openings; this chart does not follow family or lens filters.

Depth observations and included visits

Frequency and route variety

Published ranked positions in this view, rather than the whole corpus. Axes use logarithmic scales. Select a point or a table row to inspect its board. Darker green indicates more games arriving through alternatives to the leading route.

Opening-family counts and convergence by depth

At one depth, endpoint compression is 1 − distinct positions / distinct move orders. Repeated-position prefixes are excluded. This describes convergence in the observed corpus; it does not measure time saved or learning improvement.

Elite covers the curated November 2025 month. Public games are nine ordered first-day archive prefixes. Compare cohorts separately; these are not estimates of your personal encounter rate. Continuations show observed choices, not best moves. Drills and strategic lesson explanations remain future work.

Download measured rankings (JSON) · Metric definitions · Build evidence

Public games · White first

A stronger reference corpus

The default reference is Lichess Elite: both players rated 2300+, with at least one rated 2500+, and bullet excluded. The broader comparison corpus enforces a 1000 rating floor for both players. Each cohort keeps its own denominator.

Unique retained games1,295,879Fixtures excluded
Both players 1000+1,232,182Includes ratings exactly 1000
Opening corpus1,042,346Completed games; at least ten moves
240,086 eligible games

Full curated November 2025 file; stronger play is useful for reference study, but ratings do not certify every move.

Source periodCohort GamesObserved dates Minimum player rating

Counts come from a checked local game index. The full PGNs remain local; this page downloads no database. Measured position rankings appear above; learning drills remain proposed. Sources, exclusions and costs

Reading the transposition analysis

What the numbers describe

The explorer measures White decision positions after Black’s moves 3–10 in two separate public cohorts. A board’s frequency is its distinct-game count divided by the eligible games in the selected cohort, recorded opening family, or lens. These samples do not estimate an individual player’s encounter rate.

A recurring board occurs in at least two games. A transposing board has at least two distinct acyclic arrival prefixes. Each game contributes its earliest eligible visit to a board. Repetition prefixes contribute to frequency but do not increase the acyclic route count.

Alternative-route share reports the proportion of acyclic position games outside the leading arrival route. A board reached through eight routes may still have almost all games following one route. Compare frequency, route count, and route balance together. The route cards use all position games as their denominator; the alternative-route metric uses acyclic games and labels that distinction.

Coverage is the union of games encountering one or more selected positions. Adding frequencies would count overlapping games repeatedly. The coverage curve uses the existing frequency ranking, with the number of additional games supplied by each next board. It does not optimize a curriculum or establish learning benefits.

Public fianchetto lenses

Choose a public lens in the opening-family selector. These lenses use played moves within the first 20 plies, independent of recorded opening labels:

Lens Required moves, in addition to first White move d4
1.d4 with g3 White plays g2g3
Catalan-style fianchetto White plays c2c4, g2g3, f1g2; Black plays e7e6 and d7d5
King's Indian fianchetto White plays c2c4, g2g3, f1g2; Black plays g8f6, g7g6, f8g7 and d7d6

These are versioned move-sequence facets, not exhaustive opening classifications. Their denominators count only matching games. The explorer includes positions before g3 as well as after it; the board detail reports how many arrivals have already played g3. A possible next g3 move is a separate observed continuation. No personal repertoire or account history contributes to these views.

Opening labels and route comparisons

Family and ECO labels describe recorded games, sometimes using moves played after the selected board. The detail panel counts all known families and ECO codes; the five displayed family/ECO combinations are examples, not the complete list. Unknown-family games are reported separately. Shared labels can reflect taxonomy choices and are not evidence of strategic equivalence.

The route diagram joins the top three acyclic arrival orders at the displayed board. Other acyclic arrivals and repetition-prefix games are counted separately. The canonical key keeps pieces, side to move, castling rights, and legal en passant. It does not merge boards with different legal rights, and it does not retain the same draw-counter or repetition-history context for every contributing game.

Sources, provenance, and limits

The checked corpus has 1,042,346 selected games: 240,086 in the curated November 2025 Elite reference and 802,260 across nine ordered first-day public archive prefixes. Both-player ratings, minimum game length, marked bots and time-control exclusions are documented in the learning guide. Full source files and derived visits remain local. Published reports bind their source snapshot, configuration, implementation, and verification hashes.

The charts use a bounded White opening window. The depth comparison covers all openings in both cohorts, regardless of the explorer’s family or lens filter. The scatter shows only published ranked positions. Observed continuations are choices, not recommendations; neither frequency nor outcomes establish move quality.

See Metrics & data, the versioned contract, the checked report, and publication evidence.

Learning comes next

The separate Opening learning page contains the illustrative board, research rationale, lesson and drill design, and evaluation proposal. Strategic lesson authoring, a learning experiment, public outcome aggregation, and engine review remain separate extensions.

Compare a local export

Analyze games compares selected White games from local Chess.com/Lichess PGNs with these published study boards. The personal denominator includes short games by default and stays separate from the public cohorts.

The illustrative board has moved to Opening learning.

Earlier learning-guide links

analytics and lessons

how to evaluate the hypothesis

initial scope and prioritization

learning opening strategy through transpositions

motivation

next implementation sequence

position identity and routes

rating floor and reference quality

research support and its limits

reusing the existing pipeline and database

storage and operating cost

what you can explore now