---
date: '2024-12-13'
description: transformations of geometric properties within projective space, encoding positional information for vectors through homeography.
id: geometric projections
modified: 2026-06-05 15:08:26 GMT-04:00
tags:
  - math
title: geometric projections
created: '2024-12-13'
published: '2024-12-13'
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slug: thoughts/geometric-projections
permalink: https://aarnphm.xyz/thoughts/geometric-projections.md
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---
think of transformations of geometric properties within a given projective space.

For a vector within a [[thoughts/Vector space|vector space]], a projection might encode additional positional information

see also [[thoughts/homeomorphism|homeography]]