Discovery index (ConceptTopic, 3)

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The '''discovery index''' is a canonical indexing system for assigning unique identifiers to newly-discovered [[CRF]] polytopes until enough data has been collected to properly classify them. This index provides an unambiguous identifier to refer to new discoveries without needing to commit to a particular classification or naming scheme, which may not be accurate at initial discovery time since there may not yet be enough data at the time to determine how to classify and name them.
The '''discovery index''' is a canonical indexing system for assigning unique identifiers to newly-discovered [[CRF]] polytopes until enough data has been collected to properly classify them. This index provides an unambiguous identifier to refer to new discoveries without needing to commit to a particular classification or naming scheme, which may not be accurate at initial discovery time since there may not yet be enough data at the time to determine how to classify and name them.

Revision as of 16:58, 1 March 2014

The discovery index is a canonical indexing system for assigning unique identifiers to newly-discovered CRF polytopes until enough data has been collected to properly classify them. This index provides an unambiguous identifier to refer to new discoveries without needing to commit to a particular classification or naming scheme, which may not be accurate at initial discovery time since there may not yet be enough data at the time to determine how to classify and name them.

This page serves as the authoritative list of Discovery Index (or D-number) assignments. All new assignments should be added here first before being used anywhere else. New assignments should have been verified (preferably by multiple researchers) to be actually CRF before being added here.

The index field should be a link to a page that describes the polytope in detail, unless it has been named, in which case its name (in the comment field) can serve as the link.

The classification field is intended to indicate the eventual classification of the polytope, and may be left blank initially.

The comment field is intended to give a brief description of what the polytope is, and should simply be its name, if one has been given. Otherwise, in lieu of its name, the broad category it is (possibly temporarily) assigned to, or, barring that, a brief description of its shape or something to differentiate it from the other entries. The comment field is not intended to be a verbose description of everything about that polytope; that should go into the polytope's own page.

The current assignments are:

IndexClassificationComment
D4.3.1 Bilbirothawroid Castellated rhodoperihedral prism
D4.3.2 Bilbirothawroid Castellated rhodopantohedral prism
D4.4 Bilbirothawroid Triangular hebesphenorotundaeic rhombochoron
D4.5.1 Bilbirothawroid diminished triacontasphenorotunda (tentative name)
D4.5.2 Bilbirothawroid triacontasphenorotunda (tentative name), non-diminished version of D4.5.1
D4.5.3 Bilbirothawroid modified remainder of rectified 120-cell after a D4.5.2 has been cut off from it
D4.5.4 Bilbirothawroid compressed version of D4.5.3 that introduces J91 cells
D4.6 Bilbirothawroid a "bilbiro"-ed hydrocantichoron
D4.7 Bilbirothawroid a "bilbiro"-ed rectified 600-cell
D4.8 Bilbirothawroid CRF with tetrahedral symmetry that contains both J91 and J92 cells
D4.8.2 Bilbirothawroid Variation of D4.8 with J92 cells in inverted orientation
D4.9.0 Bilbirothawroid Compressed rectified 600-cell
D4.9.1 Bilbirothawroid An octa-diminishing of D4.9.0 that introduces 8 J91 cells
D4.9.2 Bilbirothawroid A deca-diminishing of D4.9.0 in pentagonal antiprismatic symmetry, introducing 10 J91 cells