Geometric Algebra
From Dontopedia, the open, paraconsistent wiki. (Last updated 2026-05-02.)
sameAs to 1 other subject: Clifford AlgebraReview & merge →Geometric Algebra has 25 facts recorded in Dontopedia across 1 reference, with 4 live disagreements.
Mostly:applies to domain(4), references historical figure(3), built from fundamental operation(2)
Maturity scale
raw canonical shape-checked rule-derived certifiedInbound mentions (8)
Other subjects in dontopedia point AT this entity as a value. These are inverse relationships — e.g. "X motherOf this subject" — and answer questions the forward facts can't. Grouped by predicate.
culturalReferenceCultural Reference(1)
- Cl 3 0 Algebra
ex:cl-3-0-algebra
definesConceptDefines Concept(1)
- Text
ex:text
listsKeyConceptsLists Key Concepts(1)
- Text
ex:text
ontologicalCommitmentToOntological Commitment to(1)
- Multivector Valued State
ex:multivector-valued-state
providesHistoryOfProvides History of(1)
- Text
ex:text
repopularizedRepopularized(1)
- David Hestenes
ex:david-hestenes
repopularizedConceptRepopularized Concept(1)
- David Hestenes
ex:david-hestenes
successorToSuccessor to(1)
- Plane Based Geometric Algebra
ex:plane-based-geometric-algebra
Other facts (25)
The long tail: predicates that appear too rarely to warrant their own section. Filter or scroll to find a specific one. Each row links to its source.
| Predicate | Value | Ref |
|---|---|---|
| Applies to Domain | Computer Graphics | [1] |
| Applies to Domain | Neural Networks | [1] |
| Applies to Domain | Physics | [1] |
| Applies to Domain | Robotics | [1] |
| References Historical Figure | David Hestenes | [1] |
| References Historical Figure | Hermann Grassmann | [1] |
| References Historical Figure | William Kingdon Clifford | [1] |
| Built From Fundamental Operation | Addition | [1] |
| Built From Fundamental Operation | Geometric Product | [1] |
| Ontologically Unifies | Grassmann Algebra | [1] |
| Ontologically Unifies | Hamilton Quaternion Algebra | [1] |
| Aka | Clifford Algebra | [1] |
| Believed Superior for | Geometric Data | [1] |
| Developed After | Exterior Algebra | [1] |
| Is Mathematical Algebra | true | [1] |
| Is Mathematical Framework | true | [1] |
| Known As | Clifford Algebra | [1] |
| Manipulates Geometrical Objects | Vectors | [1] |
| Notable for | Vector Division Support | [1] |
| Presupposes Existence of | Vectors | [1] |
| Relevant to Research of | Lisa Watts | [1] |
| Represents Geometrical Objects | Vectors | [1] |
| Supports Addition of Different Dimensions | true | [1] |
| Supports Vector Division | true | [1] |
| Teleologically Designed for | Geometrical Manipulation | [1] |
Timeline
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References (1)
ctx:genes/lisa-watts/research-clifford-algebra
See also
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