prism
Let an agent explain prisms as geometric solids and their properties, compute volumes and surface areas, describe uniform and star prisms, and separate the optical prism sense.
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 prisms as geometric solids and their properties, compute volumes and surface areas, describe uniform and star prisms, and separate the optical prism sense.
A polyhedron with two congruent parallel polygonal bases joined by parallelogram faces, named by the base such as triangular, pentagonal, octagonal or enneagonal prism, right or oblique, and including uniform prisms among the uniform polyhedra and star and apeirogonal variants; in optics a prism is a transparent block that refracts or disperses light, and the term is used for prism shapes in engineering and crystals.
What it is for: A family of polyhedra.
It can be explain prism geometry; compute volume and surface area; describe uniform and star prisms; separate the optical sense.
Distinguishing features
Parallel congruent bases
Parallelogram lateral faces
Right or oblique
Uniform variants
What it looks like
A solid with two parallel identical polygon ends and flat sides.
How it is recognised
Two congruent parallel bases joined by parallelograms
Named by base polygon
A pyramid tapers to a point; an antiprism has twisted bases
Related models
is a kind of - category
is a kind of - category
is related to - prisms in honeycombs
is related to - optical prisms and light
In practice
Families and kinds
right and oblique prisms
prisms by base such as triangular, pentagonal and octagonal
uniform prisms
star prisms such as enneagrammic prisms
apeirogonal and infinite prisms
Standards and regulation
Mathematical naming conventions
Optical component standards for optical prisms
Failure modes and hazards
Confusing geometric and optical prisms
Confusing prisms with antiprisms
Volume formula errors for oblique prisms
Also called
Where this came from
wikidata · CC0 1.0
Also registered as vr.tr.prism-artifact
Drafted structure
Bundle to layer to finding to question, as the second pass will find it: 4 bundles · 8 layers · 8 findings · 16 questions.
Define What a prism is.
Geometry.
Definition
Definition and naming.
Definition
Definition.
- What defines a prism, how are prisms named by base, and how do right and oblique prisms differ? definition
- Is a geometric prism or an optical prism meant? boundary
Kinds
Uniform and star prisms.
Kinds
Kinds.
- What are uniform prisms, star prisms such as the enneagrammic prism, and apeirogonal prisms? definition
- How do prisms relate to antiprisms and prismatoids? definition
Compute Calculations.
Practice.
Volume
Volume and area.
Volume
Volume.
- What are the volume and surface area of this prism? action
- How does the formula apply to oblique prisms? definition
Properties
Symmetry and nets.
Properties
Properties.
- What are the symmetry group, vertex configuration and net of this prism? definition
- How do prisms tile space in honeycombs? definition
Apply Prisms in practice.
Applications.
Engineering
Prisms in design.
Engineering
Engineering.
- Where do prism shapes appear in engineering, architecture, packaging and crystals? provenance
- Which entry fits crystal systems? action
Optics
Optical prisms.
Optics
Optics.
- How do optical prisms refract and disperse light, and where are they used? definition
- Which entry fits optical prisms? action
Learn Teaching.
Education.
Teach
Teaching prisms.
Teach
Teaching.
- How can prisms be taught with nets and models? action
- Which misconceptions arise? provenance
History
History.
History
History.
- How were prisms and uniform polyhedra studied historically? provenance
- Which references are standard? provenance
What the second pass must settle
- Should optical prisms be a separate entry?
- How should polyhedron catalogues be linked?
- How should teaching resources be linked?