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Research draft

cube

vr.tr.cube · XCT.QTY

Let an agent handle cubes as geometric solids and as the arithmetic operation, with properties and uses, and separate puzzles and fictional objects.

Thing Registry Cross-cutting context

Research draft, second pass

A second pass drafted this model: the structure a model of this thing needs, and what is known about it in the world. The line under this one says how the second half was obtained - researched against sources, or recalled without web access, in which case nothing here was read anywhere and every claim is a lead to verify. Unreviewed either way.

written by Claude from model knowledge without web access - no source was read, every claim is a lead to verify

Researched by: Claude

Purpose and description

Let an agent handle cubes as geometric solids and as the arithmetic operation, with properties and uses, and separate puzzles and fictional objects.

A three-dimensional solid with six equal square faces, twelve edges and eight vertices; also the third power of a number.

What it is for: Geometry, measurement, packaging and arithmetic.

It can be compute volume and surface area; construct nets; cube a number; use in puzzles and design.

Distinguishing features

Regular hexahedron, a Platonic solid

Special case of rectangular prism

Tiles space

Cube number is the arithmetic sense

What it looks like

A box-shaped solid with square faces.

Physical character

volume: edge cubed cubic units

surface area: 6 times edge squared square units

How it is recognised

Six equal square faces

Notation x cubed

Puzzles and fictional cubes are related senses

Related models

is a kind of - Platonic solid

polyhedron

has part - six faces

face

is related to - two dimensions

square

is confused with - games

fictional cubes

In practice

Families and kinds

geometric cube

cube numbers

unit cube

puzzle cubes and magic cubes

Standards and regulation

ISO 80000-2 notation

Failure modes and hazards

Confusing cubic and square units

Also called

Bedlam cubeWeighted Companion Cubemagic cubeunit cubePrince Rupert's cubeMultimagic cubeperfect magic cube

Where this came from

wikidata · CC0 1.0

Source repository Registry entry point

Also registered as vr.tr.cube-artifact

Drafted structure

Bundle to layer to finding to question, as the second pass will find it: 4 bundles · 8 layers · 8 findings · 16 questions.

Geometry Properties.

Properties define the cube.

Measures

Volume and area.

Measures

Measures.

  1. What are its volume and surface area? measurement
  2. What is its space diagonal? measurement

Symmetry

Symmetry group.

Symmetry

Symmetry.

  1. What symmetries does it have? definition
  2. How does it relate to the octahedron? definition
Arithmetic Cubing.

The arithmetic sense.

Operation

x cubed.

Operation

Cubing.

  1. What is the cube of this number? measurement
  2. Is it a perfect cube? boundary

Cube roots

Inverse.

Roots

Cube roots.

  1. What is its cube root? measurement
  2. Is it rational? boundary
Use Applications.

Cubes appear in packaging and design.

Volume units

Cubic metres.

Volume

Volume units.

  1. How are cubic units used? definition
  2. Are units consistent? boundary

Nets

Construction.

Nets

Nets.

  1. Which nets fold into a cube? definition
  2. How many exist? measurement
Puzzles Related objects.

Puzzles use cube forms.

Puzzles

Rubik-type and Bedlam.

Puzzles

Puzzle cubes.

  1. Which puzzle is meant? definition
  2. Is it a separate entry? action

Fiction

Game objects.

Fiction

Fictional cubes.

  1. Is a fictional object meant? boundary
  2. Should it be split off? action

What the second pass must settle

  • Should cube numbers be a separate entry?
  • How should puzzles be linked?
  • How should fictional cubes be split off?
Draft as JSON