rotation group in 3 dimensions
C44643
concept
The rotation group in 3 dimensions is the set of all orientation-preserving linear transformations of 3D space that rotate vectors about the origin, forming a continuous group under composition often denoted SO(3).
All labels observed (1)
| Label | Occurrences |
|---|---|
| rotation group in 3 dimensions canonical | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: rotation group in 3 dimensions
Generated description
The rotation group in 3 dimensions is the set of all orientation-preserving linear transformations of 3D space that rotate vectors about the origin, forming a continuous group under composition often denoted SO(3).
Instances (1)
| Instance | Via concept surface |
|---|---|
|
special orthogonal group SO(n)
surface form:
SO(3)
|
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