SSCN (InstanceTopic, 3)
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'''SSCN''', standing for '''Standard Shape Construction Notation''', is a notation for defining [[shape]]s. It uses ''operations'', in a similar but more flexible manner to [[CSG notation]]. | '''SSCN''', standing for '''Standard Shape Construction Notation''', is a notation for defining [[shape]]s. It uses ''operations'', in a similar but more flexible manner to [[CSG notation]]. | ||
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*() - [[Circular product]] | *() - [[Circular product]] | ||
*[] - [[Square product]] (aka [[Cartesian product]]) | *[] - [[Square product]] (aka [[Cartesian product]]) | ||
| - | *<> - [[ | + | *<> - [[Tegmal product]] |
*∩ (ASCII: n) - [[intersection]] | *∩ (ASCII: n) - [[intersection]] | ||
*∪ (ASCII: u) - [[union]] | *∪ (ASCII: u) - [[union]] | ||
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*[G3<sup>2</sup>]: [[Duoprism]] with ''m'' = ''n'' = 3 | *[G3<sup>2</sup>]: [[Duoprism]] with ''m'' = ''n'' = 3 | ||
*[xy]^<xy>: [[Large hexadecachoron]] | *[xy]^<xy>: [[Large hexadecachoron]] | ||
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Latest revision as of 21:11, 8 February 2014
SSCN, standing for Standard Shape Construction Notation, is a notation for defining shapes. It uses operations, in a similar but more flexible manner to CSG notation.
Note that SSCN is now obsolete. SSC2 provides a newer notation (advantages are listed on its page). This page concerns SSCN only, and should be used only for archaic reference.
Operations
Creation
- Gx - start new group, regular polygon with x vertices
- Rx - recall saved group x (saved groups are numbered from 0 upwards from left to right)
Single
- Xx - truncate to the specified Dx number
- D - dual
- A - alternation
- P - pyramid
- T - hypertorus
- Wx - hypertorus with 1/x twist
- Cx - convex hull with net space x
- Mx - transformation with matrix x
- ′(ASCII: ') - invert
Products
- () - Circular product
- [] - Square product (aka Cartesian product)
- <> - Tegmal product
- ∩ (ASCII: n) - intersection
- ∪ (ASCII: u) - union
Miscellaneous
- {} - vertex layout fold
- ^n - powertope, where n is a group, or multiple copies of the shape, where n is an integer (can also use superscript)
- S - save group to use with Rx
Notes
- All groups that aren't products must begin with either Gx or Rx.
- Dimensions may be specified immediately before a group by using lowercase letters.
- Lowercase letters with no group after them indicate a line segment in that dimension.
- Tigroids are not representable in this notation unless they can be well defined without using spheration.
- Any bracketope's bracket notation can also be used as its SSCN.
Examples
- G3: Triangle
- [xyz]X3: Cubic truncate
- xW2: Möbius strip
- [xyz]X2D: Rhombic dodecahedron
- <xyz>X7A: Cubic snub
- G4P: Square pyramid
- (xy)T: Torus
- {G53}: Dodecahedron
- [G32]: Duoprism with m = n = 3
- [xy]^<xy>: Large hexadecachoron
