Property talk:P3263

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base
configuration of a polytop vertices around the symmetry axis

Represents	base (Q2553861), base face (Q11063005)
Data type	Item
Domain	According to this template: geometric shape (Q815741) (n dimension (Q4440864)) According to statements in the property: geometric shape (Q815741) When possible, data should only be stored as statements
Allowed values	geometric shape (Q815741) (n-1 dimension (Q4440864)) (note: this should be moved to the property statements)
Example	pentagonal prism (Q1067731) → pentagon (Q127840) pentagonal bipyramid (Q193597) → pentagon (Q127840) hexagonal prism (Q2225206) → hexagon (Q83043) square antiprism (Q1154761) → square (Q164) pentagonal pyramid (Q1154713) → regular pentagon (Q4375921) heptagonal bipyramid (Q17280959) → heptagon (Q188866) quadrilateral prism (Q10925338) → quadrilateral (Q36810) elongated pentagonal pyramid (Q143112) → regular pentagon (Q4375921) cubic pyramid (Q16953147) → cube (Q812880) cone (Q42344) → circle (Q17278) regular icosahedron (Q18015071) → regular pentagon (Q4375921)
See also	radix (P3264)
Lists	Items with the most statements of this property Count of items by number of statements (chart) Items with the most statements Items with the fewest statements Count of items by number of sitelinks (chart) Items with the most sitelinks Items with the most sitelinks, but no link to one Wikipedia (sample: Welsh Wikipedia, cywiki) Items with the fewest sitelinks Most linked wikis Items with the most identifier properties By value of property Most statements Fewest statements Most sitelinks Most linked wikis Total of sitelinks on items Most identifiers Fewest identifiers Items with no other statements Most recently created items Items with novalue claims Items with unknown value claims Usage history (total) Usage history (main statement) Chart by item creation date Database reports/Constraint violations/P3263 Map Random list
Proposal discussion	Proposal discussion
Current uses	Total 153 Main statement 132 86.3% of uses Qualifier 21 13.7% of uses
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[create Create a translatable help page (preferably in English) for this property to be included here]

Type “geometric shape (Q815741)”: item must contain property “subclass of (P279)” with classes “geometric shape (Q815741)” or their subclasses (defined using subclass of (P279)). (Help)

List of violations of this constraint: Database reports/Constraint violations/P3263#Type Q815741, hourly updated report, SPARQL

Value type “geometric shape (Q815741)”: This property should use items as value that contain property “subclass of (P279)”. On these, the value for subclass of (P279) should be an item that uses subclass of (P279) with value geometric shape (Q815741) (or a subclass thereof). (Help)

List of violations of this constraint: Database reports/Constraint violations/P3263#Value type Q815741, hourly updated report, SPARQL

Required qualifier “of (P642)”: this property should be used with the listed qualifier. (Help)

List of violations of this constraint: Database reports/Constraint violations/P3263#mandatory qualifier, hourly updated report, SPARQL

Side??

I don't see any difference from has facet polytope (P1312).--Infovarius (talk) 17:38, 8 October 2016 (UTC)

• @Infovarius:：hexagonal bipyramid (Q3094168) doesn't have hexagon (Q83043) side of face, but its base is hexagon (Q83043)。--A2569875 (talk) 宇帆（普通留言·Flow留言·聯絡） 00:36, 9 October 2016 (UTC)
  • And can describe this：

    subclass of (P279) → prism (Q180544)

    ↳base (P3263) → hexagram (Q1164668)

    ⟨ hexagrammic prism ⟩ subclass of (P279) ⟨ prism (Q180544)    ⟩
    base (P3263) ⟨ hexagram (Q1164668)    ⟩

  • This property is difference from has facet polytope (P1312), this property need with qualifier of (P642) to describe. For example a hexagrammic trapezohedron. (It doesn't have hexagram (Q1164668) side of face.)

    base (P3263) → hexagram (Q1164668)

    ↳of (P642) → trapezohedron (Q141458)

    ⟨ hexagrammic trapezohedron ⟩ base (P3263) ⟨ hexagram (Q1164668)    ⟩
    of (P642) ⟨ trapezohedron (Q141458)    ⟩

  • --A2569875 (talk) 宇帆（普通留言·Flow留言·聯絡） 00:58, 9 October 2016 (UTC)
    • And property base (P3263) could be found useful to annotate formulas about volumes, but has facet polytope (P1312) can't. ---A2569875 (talk) 宇帆（普通留言·Flow留言·聯絡） 01:22, 9 October 2016 (UTC)
• Still I don't understand what do you mean by "base"? According to en-article it is one of the sides (faces). And I completely don't understand the claim
  ⟨ cube (Q812880)    ⟩ base (P3263) ⟨ equilateral triangle (Q157002)    ⟩
  of (P642) ⟨ trapezohedron (Q141458)    ⟩
  . --Infovarius (talk) 10:23, 10 October 2016 (UTC)
  • @Infovarius::in Chinese，「一個多面體的基底」 maybe not refer to “a base of a polyhedron”, maybe it does not reference the faces here but arrangement of vertices around an axis of symmetry. For Example, an octagonal bipyramid are base on an octagon and up vertices and down vertices, and connect each vertices of vertices to the vertices and down vertices. The solid octagonal bipyramid doesn't have any octagon face , but it “base on” an octagon. (My English is not well, I wrote the Chinese below)

    中文的多面體的基底可能與英文的Base不太一樣。可能會有不是指多面體其中一個面的情形，可能會是指該多面體的頂點與中心對稱軸的頂點分佈與某個平面圖形關聯。舉例來說，雙八角錐是由一個八邊形和上方頂點以及下方頂點，透過將正八邊形的每個頂點與上方頂點和下方頂點結合而構成。整個立體中沒有任何一個面是八邊形，但是其是基於八邊形構成。--A2569875 (talk) 宇帆（普通留言·Flow留言·聯絡） 11:08, 10 October 2016 (UTC)

    • @Infovarius: Maybe the polyhedron just only Subclasses of bipyramid (Q2076140)、pyramid (Q3358290)、frustum (Q846235)、bifrustum (Q2036093)、trapezohedron (Q141458)、prismatoid (Q1757451)、duoprism (Q921050)、antiprism (Q1048057)、prism (Q180544)、cupola (Q1792895)、rotunda (Q2493022)、elongated pyramid (Q5367153)、gyroelongated pyramid (Q5625476)、elongated bipyramid (Q3029312)、gyroelongated bipyramid (Q3029311)、elongated cupola (Q5367149)、gyroelongated cupola (Q5625474)、hosohedron (Q869874)、polygonal dihedron (Q9213342)、bicupola (Q2901668)、elongated bicupola (Q15308596) have the base (P3263) property.--A2569875 (talk) 宇帆（普通留言·Flow留言·聯絡） 12:07, 10 October 2016 (UTC)
      • Ok, thanks for the explanation. --Infovarius (talk) 11:11, 11 October 2016 (UTC)
    • @Infovarius::maybe change name of this property to "base on polytope"?--A2569875 (talk) 宇帆（普通留言·Flow留言·聯絡） 12:22, 11 October 2016 (UTC)
      • in polyhedron:
        • a polyhedron which is base on a polygon.
          • For example: hexagonal bipyramid (Q3094168) is a bipyramid (Q2076140) which is base on hexagon (Q83043), with Schläfli symbol (Q1347011) {6}+{}.
      • in polychoron:
        • a polychoron which is base on a polyhedron.
          • For example: 16-cell (Q2471444) is a four-dimensional bipyramid (Q2076140) which is base on octahedron (Q188884), with Schläfli symbol (Q1347011) {3,4}+{}.
      • in polyteron, a five-dimensional polytope or 5-polytope:
        • a polyteron which is base on a polychoron.
          • For example: 5-orthoplex (Q4639671) is a five-dimensional bipyramid (Q2076140) which is base on 16-cell (Q2471444), with Schläfli symbol (Q1347011) {3,3,4}+{}.
      • a polytope with Schläfli symbol (Q1347011) form {x}+{} is a type of bipyramid (Q2076140), and it without any {x} facet.

        --A2569875 (talk) 宇帆（普通留言·Flow留言·聯絡） 12:44, 11 October 2016 (UTC)

• The implication is the property must to have qualifier of (P642) to describe what kind of polytope to refer. Special:Diff/386765253
  • for example:
    ⟨ cube (Q812880)    ⟩ base (P3263) ⟨ equilateral triangle (Q157002)    ⟩
    can not determine what the equilateral triangle (Q157002),

    should use

    ⟨ subject ⟩ of (P642) ⟨ trapezohedron (Q141458)    ⟩

    to describe what the equilateral triangle (Q157002) refer to.

    by the way, cube (Q812880) also known as "Triangular trapezohedron"--A2569875 (talk) 宇帆（普通留言·Flow留言·聯絡） 13:08, 11 October 2016 (UTC)

• and it can be a qualifier. for example:
  • ⟨ tetrahedron (Q160003)    ⟩ subclass of (P279) ⟨ pyramid (Q3358290)    ⟩
    base (P3263) ⟨ triangle (Q19821)    ⟩

    to describe "Tetrahedron is a Triangular pyramid"

  • ⟨ regular dodecahedron (Q16629569)    ⟩ subclass of (P279) ⟨ truncated trapezohedron (Q3893527)    ⟩
    base (P3263) ⟨ pentagon (Q127840)    ⟩

    to describe "Regular dodecahedron is a Truncated pentagonal trapezohedron"

  --A2569875 (talk) 宇帆（普通留言·Flow留言·聯絡） 13:42, 11 October 2016 (UTC)

  • At least this qualifier helps to understand, yes. --Infovarius (talk) 08:45, 12 October 2016 (UTC)

    @Infovarius:Do you think it necessary to rename it to “base on polytope” or something like that? -- A2569875 (talk) 宇帆（普通留言·Flow留言·聯絡） 15:14, 14 October 2016 (UTC)

    • • • No, "base" is better. May be "base polytope", or "base of polytope"? We need English native speaker. --Infovarius (talk) 18:59, 15 October 2016 (UTC)