Steric 7-cubes
Open-knowledge reference entry
In seven-dimensional geometry, a stericated 7-cube (or runcinated 7-demicube) is a convex uniform 7-polytope, being a runcination of the uniform 7-demicube. There are 4 unique runcinations for the 7-demicube including truncation and cantellation.
Steric 7-cube
Alternate names
Small prismated demihepteract (acronym: sphosa)
Cartesian coordinates
The Cartesian coordinates for the vertices of a steric 7-cube centered at the origin are coordinate permutations:
(±1,±1,±1,±1,±3,±3,±3)
with an odd number of plus signs.
Images
Related polytopes
Stericantic 7-cube
Alternate names
Prismatotruncated demihepteract (acronym: pothesa)
Images
Steriruncic 7-cube
Alternate names
Prismatorhombated demihepteract (acronym: prohesa)
Images
Steriruncicantic 7-cube
Alternate names
Great prismated demihepteract (acronym: gephosa)
Images
Related polytopes
These polytopes are based on the 7-demicube, a member of a dimensional family of uniform polytopes called demihypercubes for being alternation of the hypercube family.
There are 95 uniform polytopes with D7 symmetry, 63 are shared by the BC6 symmetry, and 32 are unique:
Notes
References
H.S.M. Coxeter:
H.S.M. Coxeter, Regular Polytopes, 3rd edition, Dover, New York, 1973
Kaleidoscopes: Selected Writings of H.S.M. Coxeter, edited by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivić Weiss, Wiley-Interscience Publication, 1995, wiley.com, ISBN 978-0-471-01003-6
(Paper 22) H.S.M. Coxeter, Regular and Semi-Regular Polytopes I, [Math. Zeit. 46 (1940) 380–407, MR 2,10]
(Paper 23) H.S.M. Coxeter, Regular and Semi-Regular Polytopes II, [Math. Zeit. 188 (1985) 559–591]
(Paper 24) H.S.M. Coxeter, Regular and Semi-Regular Polytopes III, [Math. Zeit.
“Steric 7-cubes” enters the record as open-knowledge reference entry. Crown Archives preserves that source wording while asking what Steric, 7-cubes and Open-knowledge can confirm, complicate or overturn.
Why this record matters
“Steric 7-cubes” is worth following because a concise public description often conceals a longer documentary argument. Here, Steric, 7-cubes and Open-knowledge provides the most credible route into that argument.
The citation trail is more important than the brevity of the summary: it shows where individual claims can be examined in context. The source revision retrieved here is dated Apr 16, 2026. The linked authority identifier is Q17102914. None of the 0 selected statements returned an explicit reference. The first chronological checks are 1973, 1995, 1940 and 1985.
The absence of detail may reflect summary conventions rather than a lack of surviving documentation. The lead is largely declarative, so disagreement and counter-evidence require a deliberate search beyond the opening account. Authority statements aid reconciliation but still require their own references, qualifiers and ranks to be checked.
How to read it
Use the entry as an orientation point, then follow its citations and revision history. Names, dates and institutional relationships should be checked against the original record.
- Subject orientation
- Search vocabulary
- Locating named sources
The closest primary source, responsible institution and strongest cited specialist reference.
Three-step research path
- Establish the record: confirm the title “Steric 7-cubes”, its source revision and the description used here.
- Expand the search: follow Steric 7-cubes primary sources, Steric 7-cubes archive and Steric research across catalogues and specialist indexes.
- Test the account: compare the strongest cited source with the responsible institution’s current record and note any disagreement.
Questions for further research
- Which source most directly establishes the central claim about “Steric 7-cubes”?
- Which institution is responsible for the underlying evidence?
- What terminology or title could unlock a more precise catalogue search?
Search terms from this dossier
This entry incorporates text from “Steric 7-cubes” on English Wikipedia. Contributors are listed in the page history. Text is available under the Creative Commons Attribution-ShareAlike 4.0 License. Selected authority identifiers and statements are retrieved from Wikidata under CC0; their references and qualifiers remain part of the verification path.