GA 324a · Arts, esoteric classes and professions

Die vierte Dimension

The Fourth Dimension

German: Served English: served Read on this site Record (JSON)

English abridgedEnglish units missingmachine translation

Publication

Status in the catalog	published the site's GA catalog
Kind	text the site's GA catalog
ISBN	3-7274-3245-4 AnthroWiki (German) 978-3-7274-3246-0 AnthroWiki (German) 978-3-7274-3245-3 the publisher's catalog of 2022

Editions of the German volume

Edition	Year	Pages	Witness
1	1995	312	the publisher's online catalog
2	2025	354	the publisher's online catalog
	1995		AnthroWiki (German)
	2025		AnthroWiki (German)

Printed contents

20 units in the printed table of contents, about 80,903 words the printed table of contents.

The units as printed

Heading	Date	Place	Kind	Words
ERSTER VORTRAG Berlin, 24. März 1905	1905-03-24	Berlin	lecture	2977
ZWEITER VORTRAG Berlin, 31. März 1905	1905-03-31	Berlin	lecture	1903
DRITTER VORTRAG Berlin, 17. Mai 1905	1905-05-17	Berlin	lecture	4480
VIERTER VORTRAG Berlin, 24. Mai 1905	1905-05-24	Berlin	lecture	3350
FÜNFTER VORTRAG Berlin, 31. Mai 1905	1905-05-31	Berlin	lecture	2629
SECHSTER VORTRAG Berlin, 7. Juni 1905	1905-06-07	Berlin	lecture	4233
DER VIERDIMENSIONALE RAUM Berlin, 7. November 1905	1905-11-07	Berlin	lecture	2181
ÜBER DEN MEHRDIMENSIONALEN RAUM Berlin, 22. Oktober 1908	1908-10-22	Berlin	lecture	2880
FRAGENBEANTWORTUNG Berlin, 1. November 1904	1904-11-01	Berlin	lecture	11009
FRAGENBEANTWORTUNG Dornach, 30. März 1920	1920-03-30	Dornach	lecture	11403
FRAGENBEANTWORTUNG Dornach, 26. August 1921	1921-08-26	Dornach	lecture	5933
HINWEISE Zu dieser Ausgabe			apparatus	1192
HINWEISE ZU DEN VORTRÄGEN Berlin, 24. März 1905	1905-03-24	Berlin	apparatus	4850
Berlin, 24. Mai 1905	1905-05-24	Berlin	lecture	3071
HINWEISE ZU DEN FRAGENBEANTWORTUNGEN Berlin 1. November 1904	1904-11-01	Berlin	apparatus	4823
Stuttgart 7. März 1920 Fragenheantwortung während des Vortragszyklus "Geisteswissenschaftliche Impulse zur Entwickelung der Physik"	1920-03-07	Stuttgart	lecture	6672
HINWEISE Stuttgart, 15. Januar 1921	1921-01-15	Stuttgart	apparatus	2209
Fragenbeantwortung (open diseussion) während des Sommerkurses (Summer Art Course) am Gortheanum in Dornach vom 21. bis 27. August 1921	1921-08-27		lecture	4231
NAMENREGISTER			apparatus	210
ÜBER DIE VORTRAGSNACHSCHRIFTEN Aus Rudolf Steiners Autobiographie «Mein Lebensgang» (35. Kap., 1925)			apparatus	667

German text

Served. Taken from the Rudolf Steiner Archive's German pages, with units added by this site from a scan or digital edition of the print, recorded below.

Units served	12 the site's completeness audit
Printed units of text	14 the site's completeness audit
Words served	56141 the site's completeness audit
Served against the print	0.84 (watch) the site's completeness audit
Source	https://www.rsarchive.org/Lectures/GA324a/German/ the source record of the served German; unrecorded; scraped before April 2026
Edition used	1995 the source record of the served German
Method	digital edition (EPUB)
Added	2026-10-18
Checksum	`sha256 1dfd1e16c28d5540`

English

Served on this site

The Fourth Dimension the Rudolf Steiner Archive's edition page SOL2024

Publisher	Steiner Online Library the Rudolf Steiner Archive's edition page
Years	2024
Identified	by matching the served text's openings against the edition (score 1.0) the Rudolf Steiner Archive's edition page
How made	machine translation with review (DeepL), Steiner Online Library the Steiner Online Library's account of its translations
Rights	in copyright

4 German units of this volume have no English on this site: Fragenbeantwortung; Fragenbeantwortung; Fragenbeantwortung; Fragenbeantwortung während des Sommerkurses am Goetheanum in Dornach vom 21. bis 27. August 1921.

Other English translations known

Listed as bibliography. They are not served here; a translation in copyright is named, never reproduced.

Title	Translator	Publisher	Year	ISBN	Rights
The Fourth Dimension: Sacred Geometry, Alchemy and Mathematics: Sacred Geometry, Alchemy, and Mathematics the SteinerBooks catalog; AnthroWiki (English) CW 324a the SteinerBooks catalog; AnthroWiki (English)	C. E. Creeger AnthroWiki (English)	Witnesses differ: SteinerBooks the SteinerBooks catalog Anthroposophic Press AnthroWiki (English)	2001	9780880104722	in copyright

Alignment of German and English

Edition	Units	Confidence (high, medium, low)	Paragraph pairs	Gaps (German, English)
English	8	8, 0, 0	281	0, 1

A unit is a lecture or chapter; a paragraph pair maps German paragraphs to the English ones that render them. A gap is a German paragraph with no English counterpart, or the reverse. the site's alignment tables

Pictures

Printed in the volume	94 the site's completeness audit
Image files served	3 the site's completeness audit
Blackboard drawings	1 plates the site's blackboard index

Quality marks

The served German is watch against the printed word count (0.84). the site's completeness audit
This witness holds under half the original's words. Whole passages are almost certainly missing. A phrase absent here is NOT evidence it is absent from the original; search the original language. the site's completeness audit
4 German units have no English. the site's completeness audit
Part or all of the served English is the Steiner Online Library's machine translation (DeepL with review), in copyright. the Steiner Online Library's account of its translations

Gaps

None recorded.

How to cite this witness

Rudolf Steiner, Die vierte Dimension (GA 324a), as served by anthroposophy.ai, https://anthroposophy.ai/ga/324a/, register entry https://anthroposophy.ai/contents/324a/, status as of 2026-11-04: German served; English editions SOL2024.

BibTeX · CSL-JSON · the full record

Witnesses

Every fact on this page names the witness it comes from. Where witnesses disagree, the page shows each value; none is chosen silently.

the site's alignment tables: ~/data/build/search-2026-11-02a.db · sha256 8a3bf2fb68616955
extract: data/steiner/witnesses/alignment_summary.json
AnthroWiki (German): https://anthrowiki.at/GA_324a
AnthroWiki's page for the volume
AnthroWiki (English): https://en.anthro.wiki/GA_324a · read 2026-04-26T16:15:20.422803+00:00
AnthroWiki's English page for the volume
the site's blackboard index: site/api/blackboard.json · 2026-10-21T23:20:03Z
the site's GA catalog: data/steiner/ga_catalog.yaml
the publisher's online catalog: the publisher's GA-Online title list, read 2026-10-19; metadata only
extract: data/steiner/witnesses/ga_online_2026-10-19.json
the source record of the served German: data/steiner/witnesses/german_sources.json
the publisher's catalog of 2022: Rudolf Steiner Verlag, Gesamtverzeichnis 2022 (the publisher's catalog)
extract: data/steiner/witnesses/rsv_gv_2022_entries.json
the printed table of contents: data/steiner/witnesses/ga_inhalt.json · sha256 1dfd1e16c28d5540
the edition code: data/steiner/publisher_codes.json
the Rudolf Steiner Archive's edition page: https://www.rsarchive.org/Lectures/GA324a/English/SOL2024/
the archive's lecture edition page; verified by opening text
extract: data/steiner/witnesses/rsarchive_editions_raw.json
the site's completeness audit: research/audits/2026-10-ga-completeness/scorecard.json · 2026-11-04
the Steiner Online Library's account of its translations: https://rsarchive.org/blog/Translation2024.html · 2024-08-01, clarification 2025-03-18
the library's own account of its translation process
the SteinerBooks catalog: SteinerBooks catalog (Shopify products), fetched 2026-04
extract: data/steiner/witnesses/steinerbooks_cw.json

status as of 2026-11-04 · all volumes