SSCN (InstanceTopic, 3)
From Hi.gher. Space
(Difference between revisions)
m (→Single: *cough* matrix *cough*) |
m |
||
| Line 8: | Line 8: | ||
=== Single === | === Single === | ||
*Xx - [[truncate]] x-cells (in binary: 0 does nothing, 1 = t0, 2 = t1, 3 = t0,1, 4 = t2, etc etc. | *Xx - [[truncate]] x-cells (in binary: 0 does nothing, 1 = t0, 2 = t1, 3 = t0,1, 4 = t2, etc etc. | ||
| - | |||
*D - [[dual]] | *D - [[dual]] | ||
*A - [[alternation]] | *A - [[alternation]] | ||
*P - [[pyramid]] | *P - [[pyramid]] | ||
*T - [[hypertorus]] | *T - [[hypertorus]] | ||
| + | *Wx - [[hypertorus]] with 1/x twist | ||
*Cx - [[convex hull]] with [[net space]] x | *Cx - [[convex hull]] with [[net space]] x | ||
*Mx - transformation with [[matrix]] x | *Mx - transformation with [[matrix]] x | ||
| Line 39: | Line 39: | ||
*G3: [[Triangle]] | *G3: [[Triangle]] | ||
*[xyz]X3: [[Cubic truncate]] | *[xyz]X3: [[Cubic truncate]] | ||
| - | * | + | *xW2: [[Möbius strip]] |
*[xyz]X2D: [[Rhombic dodecahedron]] | *[xyz]X2D: [[Rhombic dodecahedron]] | ||
*<xyz>X7A: [[Cubic snub]] | *<xyz>X7A: [[Cubic snub]] | ||
*G4P: [[Square pyramid]] | *G4P: [[Square pyramid]] | ||
| - | * | + | *(xy)T: [[Torus]] |
*{G5<sup>3</sup>}: [[Dodecahedron]] | *{G5<sup>3</sup>}: [[Dodecahedron]] | ||
*[G3<sup>2</sup>]: [[Duoprism]] with ''m'' = ''n'' = 3 | *[G3<sup>2</sup>]: [[Duoprism]] with ''m'' = ''n'' = 3 | ||
Revision as of 12:04, 21 March 2008
Standard Shape Construction notation, abbreviated as SSC notation, is a notation for defining shapes. It uses operations, in a similar but more flexible manner to CSG notation.
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 x-cells (in binary: 0 does nothing, 1 = t0, 2 = t1, 3 = t0,1, 4 = t2, etc etc.
- 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
- ′ - invert
Products
- () - Circular product
- [] - Square product (aka Cartesian product)
- <> - Tegal product
- ∩ - intersection
- ∪ - 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
