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Research draft

map projection

vr.tr.map-projection · XCT.QLT

Let an agent explain what map projections are and what each preserves or distorts, help choose a projection for a purpose, relay standard definitions and codes from geodetic references, and separate projections from datums and coordinate reference systems.

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 explain what map projections are and what each preserves or distorts, help choose a projection for a purpose, relay standard definitions and codes from geodetic references, and separate projections from datums and coordinate reference systems.

A systematic method for representing the curved surface of the Earth or another body on a flat map, defined by mathematical rules that map latitude and longitude to plane coordinates; every projection distorts some combination of area, shape, distance or direction, and projections are chosen by purpose, such as Mercator for navigation, equal-area for thematic maps and conformal for surveying.

What it is for: Representing a curved surface on a flat map.

It can be explain how projections work and what they distort; identify a projection from its properties; help choose a projection for a purpose; relay codes and parameters.

Distinguishing features

Mathematical mapping from sphere or ellipsoid to plane

Always distorts something

Classified by surface, aspect and property

Chosen by purpose

What it looks like

Not visible in itself; seen in the shape of the graticule and continents on a map.

Physical character

properties preserved: at most one of area, shape, or true distance along all lines property - no projection preserves all

How it is recognised

Graticule shape: straight, curved or converging meridians and parallels

Preserved property: area, shape, distance or direction

A datum and a coordinate reference system are separate concepts

Related models

is a kind of - a mathematical mapping

projection

is part of - with a datum and units

coordinate reference system

is used in - the discipline

cartography

is confused with - the reference surface, not the projection

geodetic datum

In practice

Families and kinds

cylindrical projections such as Mercator and equal-area cylindrical

conic projections such as Lambert conformal conic and Albers

azimuthal projections such as stereographic and orthographic

pseudocylindrical and compromise projections such as Robinson and Winkel tripel

polyhedral and interrupted projections

projections by property: conformal, equal-area, equidistant

Identifiers

EPSG code numeric for projected coordinate reference systems

PROJ string text parameters for software

Standards and regulation

ISO 19111 spatial referencing by coordinates

EPSG geodetic parameter dataset

National mapping agency standards

Failure modes and hazards

Misreading area on Mercator maps

Mixing projections without transformation

Confusing projection with datum

Political disputes over map appearance

Also called

equal-area projectioncylindrical equal-area projectionSnyder equal-area projectionnormal cylindrical equal-area projectionsouth-up map orientationPolyhedral map projectionazimuthal projectionWagner projectionKavrayskiy projectionconformal map projectionorthographic projection in cartographycylindrical projectionconic projectiontwo-point equidistant projectionSanson–Flamsteed projectionpolyconic projectionSpherical image projectionequidistant projectionaphylactic projectionpseudocylindrical projectionpseudoconical projectionpseudoazimuthal projectionpseudoconformal projectionretroazimuthal projectioninterrupted projectionWinkel projectionstereographic map projectionconformal cylinder projectionstereographic cylindrical projection

Where this came from

wikidata · CC0 1.0

Drafted structure

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

Concept What a projection is.

Definition.

Definition

Definition and distortion.

Definition

Definition.

  1. What is a map projection, and why must every projection distort something? definition
  2. Is the question about the projection, the datum or the coordinate reference system? boundary

Classes

Classification.

Classes

Classes.

  1. How are projections classified by surface, aspect and preserved property? definition
  2. Which entry fits a specific projection? action
Choose Choosing a projection.

Practice.

Purpose

Purpose and choice.

Purpose

Purpose.

  1. Which projection suits navigation, thematic mapping, surveying or world maps, and why? action
  2. What region and scale is the map for? boundary

Distortion

Measuring distortion.

Distortion

Distortion.

  1. How is distortion measured and visualised, for example with Tissot indicatrices? measurement
  2. Which references are standard? provenance
Use Parameters and software.

Use.

Parameters

Parameters and codes.

Parameters

Parameters.

  1. What parameters define a projected coordinate system, and where are codes published? provenance
  2. Which entry fits coordinate reference systems? action

Transform

Transformation.

Transform

Transform.

  1. How are data transformed between projections in software? action
  2. Which entry fits GIS software? action
Context History and debate.

Context.

History

History.

History

History.

  1. How did projections develop from Ptolemy through Mercator to modern compromise projections? provenance
  2. Which entry fits the history of cartography? action

Debate

Debates.

Debate

Debate.

  1. What debates exist about world map projections and their perceived bias, with positions attributed? provenance
  2. Is the presentation neutral? boundary

What the second pass must settle

  • Should each named projection be a separate entry?
  • How should EPSG codes be linked?
  • The registry entry has merged aliases for specific projections and map orientations; should they be split off?