rectangle
Let an agent explain the rectangle and its properties, support calculations of area, perimeter and diagonals, describe uses in design, computing and construction, and support learning.
Bundle → Layer → Finding → Questions Filled
4 bundles · 8 layers · 8 findings · 16 questions
Understand What a rectangle is.
Definition
Definition and properties.
Definition
Definition.
- What defines a rectangle, and what properties of sides, angles and diagonals follow? definition
- Which entry fits quadrilaterals? action
Kinds
Squares, oblongs and ratios.
Kinds
Kinds.
- How do squares, oblongs and dynamic rectangles such as the golden rectangle differ? definition
- Which entry fits the golden ratio? action
Compute Calculations.
Calculate
Area, perimeter and diagonals.
Calculate
Calculation.
- What are the area, perimeter and diagonal of this rectangle? action
- Which entry fits area? action
Coordinates
Coordinates and bounding boxes.
Coordinates
Coordinates.
- How are rectangles represented in coordinates, and how are minimum bounding rectangles computed? action
- Which entry fits computational geometry? action
Apply Applications.
Design
Design and construction.
Design
Design.
- How do rectangles and aspect ratios shape paper sizes, screens, buildings and layouts? provenance
- Which entry fits paper sizes? action
Tiling
Tiling and packing.
Tiling
Tiling.
- How are rectangles used in tiling, packing and layout problems? provenance
- Which entry fits packing problems? action
Learn Teaching.
Teach
Teaching.
Teach
Teaching.
- How can rectangles and their properties be taught to children? action
- Which misconceptions arise? provenance
History
History.
History
History.
- How did rectangles feature in ancient geometry and measurement? provenance
- Which references are standard? provenance
Classifiers Filled
- Family
- Thing Registry
- Category
- Cross-cutting context
- Entry kind
- thing
- Plane
- XCT
- Domain
- XCT.QLT
- Other names and narrower kinds
- oblong, minimum bounding rectangle, subrectangular, dynamic rectangle
What it is Filled
A quadrilateral with four right angles, whose opposite sides are equal and parallel and whose diagonals are equal and bisect each other, including the square as the special case with equal sides and the oblong with unequal sides, and used in concepts such as the minimum bounding rectangle in computing and dynamic rectangles in design; the rectangle is one of the most common shapes in construction, design, screens and mathematics.
Why it exists Filled
Let an agent explain the rectangle and its properties, support calculations of area, perimeter and diagonals, describe uses in design, computing and construction, and support learning.
Distinguishing features Filled
- Right angles
- Equal diagonals
- Simple formulas
- Ubiquitous shape
What robots and AI may and may not do Filled
Must not
- Treat a quadrilateral as a rectangle without checking its angles.
- Use rectangle measurements to misstate land or floor areas in sales or contracts.
- Confuse inclusive and exclusive edges of rectangles in code without saying so.
- Present dynamic rectangles or golden proportions as proven rules of beauty.
Only with a human decision
- Using measured areas for sales, taxes or rents.
May
- Define a rectangle and compute its area, perimeter and diagonals.
- Use bounding rectangles in computing with coordinates stated.
- Explain that a square is a special rectangle.
Moral aspects Filled
- Area figures decide prices and taxes; errors cost people money.
- Claims about ideal proportions are often presented as more proven than they are.
Who is affected
- Students
- Buyers and tenants
- Software users
Owners Filled
Steward
Nobody: a mathematical object held in common.
Links to other meta-models Filled
parent
- Q117400683 - registry parent class
- Q1194115 - registry parent class
- Q12218380 - registry parent class
- Q2543717 - registry parent class
- Q36810 - registry parent class
- Q3801534 - registry parent class
related
- convex cyclic quadrilateral - category
- isosceles trapezoid - category
- hypercube - the square as a two-dimensional hypercube
- base - rectangular bases of solids
What else AI and robots need to interact with it Filled
Identity and identifiers required Filled
- Vercy registry: vr.tr.rectangle
- Wikidata: Q209 (https://www.wikidata.org/wiki/Q209)
Direct properties not applicable Not applicable
Not applicable
Plane XCT: no invented physical properties.
Recognition optional Filled
- Four right angles, opposite sides equal
- Square as special case
- A parallelogram lacks right angles; a rhombus has equal sides without right angles
- A four-sided shape with right angles.
Capabilities and actions required Filled
- explain properties
- support calculations
- describe uses
- support learning
Hazards and failure modes required Filled
- Confusing rectangle with parallelogram
- Assuming all rectangles are oblongs
- Aspect ratio confusion
Standards and interfaces required Filled
- Mathematical conventions
- Paper and screen size standards based on rectangles
- No regulation
Context of use required Filled
- Quadrilateral with four right angles.
- squares
- oblongs
- golden and other dynamic rectangles
- bounding rectangles in computing
- rectangles in tiling and packing
Sources Filled
- Wikidata item Q209: rectangle - identity and sense of the item
- Wikipedia: Rectangle - general description of the item
Open questions
- Should the square be a separate entry?
- How should geometry resources be linked?
- How should design ratio resources be linked?
Machine files
Provenance
thing registry research (pass 2) · unreviewed
Built from: models/things/publications/thing-q209/spec.json