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ID: INPUT{id.yaml}

Title: >
  Volume of the Platonic solids

Definition: >
  This table lists the volumes of the Platonic solids CITE{Wiki}
  given that either
  the edge length $a$ equals $1$,
  the inner radius $r$ equals $1$,
  the midradius $\rho$ equals $1$,
  the outer radius $R$ equals $1$,
  or the surface area $A$ equals $1$.
  
Parameters:
  expression:
    display: constraint
    title: length that is constrained to be $1$
    type: Symbolic
#    show-in-parameter-list: no

solid:
    display: solid
    title: Platonic solid
    type: Symbolic
  
Comments:
  comment-algebraic: >
    All numbers in this table are algebraic numbers.
  
Formulas:

Programs:

References:

Links:
  Wiki:
    title: "Wikipedia: Platonic solid"
    url: https://en.wikipedia.org/wiki/Platonic_solid

Similar tables:
  
Keywords:
  
Tags:
- elementary geometry
- algebraic
- volume
- trigonometry
- discrete geometry

Data properties:
  type: R
  complete: yes
  
Display properties:
  number-header: >
    Volume

Numbers: INPUT{numbers.yaml}

— preview —

Volume of the Platonic solids

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Numbers

constraint

solid

Volume

INPUT{numbers.yaml} (not shown in preview)

Definition

This table lists the volumes of the Platonic solids [1] given that either the edge length $a$ equals $1$, the inner radius $r$ equals $1$, the midradius $\rho$ equals $1$, the outer radius $R$ equals $1$, or the surface area $A$ equals $1$.

Parameters

constraint

— length that is constrained to be $1$

solid

— Platonic solid

Comments

(1)

All numbers in this table are algebraic numbers.

Links

[1]

Wikipedia: Platonic solid

Data properties

Entries are of type: real number

Table is complete: yes