In geometry, a net of a polyhedron is an arrangement of non-overlapping edge-joined polygons in the plane which can be folded (along edges) to become...
13 KB (1,435 words) - 21:51, 17 March 2025
taxes Net (mathematics), a filter-like topological generalization of a sequence Net, a linear system of divisors of dimension 2 Net (polyhedron), an arrangement...
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In geometry, a polyhedron (pl.: polyhedra or polyhedrons; from Greek πολύ (poly-) 'many' and ἕδρον (-hedron) 'base, seat') is a three-dimensional figure...
96 KB (10,656 words) - 01:16, 15 July 2025
Truncated tetrahedron (redirect from Friauf polyhedron)
all of its vertices off, a process known as truncation. The resulting polyhedron has 4 equilateral triangles and 4 regular hexagons, 18 edges, and 12 vertices...
15 KB (1,483 words) - 22:12, 1 July 2025
In geometry, the truncated icosahedron is a polyhedron that can be constructed by truncating all of the regular icosahedron's vertices. Intuitively, it...
16 KB (1,563 words) - 15:19, 18 June 2025
the projection. Net (polyhedron) – A different approach for visualization by lowering the dimension of a polytope is to build a net, disconnecting facets...
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Regular icosahedron (category Composite polyhedron)
pentagonal antiprism, snub octahedron, or simply icosahedron) is a convex polyhedron that can be constructed from pentagonal antiprism by attaching two pentagonal...
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software. Models to cut out can also be downloaded from the internet. Net (polyhedron) Paper model Architectural model Cardboard Engineering, with Scissors...
3 KB (364 words) - 11:57, 15 December 2024
simple polygon to make it convex Net (polyhedron), a simple polygon that can be folded and glued to form a given polyhedron Spherical polygon, an analogous...
31 KB (3,206 words) - 07:42, 13 March 2025
In geometry, a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy (rigidly moved without rotation) of the...
21 KB (1,956 words) - 12:42, 7 June 2025
cutting Chinese paper folding Flexagon Jewish paper cutting Kirigami Net (polyhedron) Origami Action origami Pabalat Papel picado Paper plane Paper snowflake...
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semiregular polyhedron (or semiregular polytope) is used variously by different authors. In its original definition, it is a polyhedron with regular...
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In geometry, a Schönhardt polyhedron is a polyhedron with the same combinatorial structure as a regular octahedron, but with dihedral angles that are non-convex...
16 KB (1,709 words) - 18:32, 21 May 2025
icosahedron (/ˌaɪkɒsəˈhiːdrən, -kə-, -koʊ-/ or /aɪˌkɒsəˈhiːdrən/) is a polyhedron with 20 faces. The name comes from Ancient Greek εἴκοσι (eíkosi) 'twenty'...
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A cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces. A cuboctahedron has 12 identical vertices, with 2 triangles and 2 squares meeting...
24 KB (2,142 words) - 19:35, 10 June 2025
Archimedean solid (redirect from Archimedean polyhedron)
Archimedean solids are synonymous with the semiregular polyhedron. Yet, the definition of a semiregular polyhedron may also include the infinite prisms and antiprisms...
21 KB (1,788 words) - 11:33, 17 July 2025
A cube is a three-dimensional solid object in geometry. A polyhedron, its eight vertices and twelve straight edges of the same length form six square faces...
63 KB (6,411 words) - 03:58, 24 July 2025
a pentagonal trapezohedron. It is also a Goldberg polyhedron because it is the initial polyhedron to construct new polyhedra by the process of chamfering...
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nontraditional, surrealist portrayal of the Crucifixion, it depicts Christ on a polyhedron net of a tesseract (hypercube). It is one of his best-known paintings from...
11 KB (1,322 words) - 08:32, 15 November 2024
The pentagonal bipyramid (or pentagonal dipyramid) is a polyhedron with ten triangular faces. It is constructed by attaching two pentagonal pyramids to...
13 KB (1,336 words) - 02:06, 16 July 2025
An orthogonal polyhedron is a polyhedron in which all edges are parallel to the axes of a Cartesian coordinate system, resulting in the orthogonal faces...
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convex polyhedron with 12 congruent rhombic faces. It has 24 edges, and 14 vertices of 2 types. As a Catalan solid, it is the dual polyhedron of the cuboctahedron...
24 KB (2,412 words) - 04:00, 26 June 2025
In geometry, the snub disphenoid is a convex polyhedron with 12 equilateral triangles as its faces. It is an example of deltahedron and Johnson solid....
16 KB (1,878 words) - 09:48, 14 March 2025
Triaugmented triangular prism (category Composite polyhedron)
The triaugmented triangular prism, in geometry, is a convex polyhedron with 14 equilateral triangles as its faces. It can be constructed from a triangular...
20 KB (2,224 words) - 07:16, 15 June 2025
In geometry, the great stellated dodecahedron is a Kepler–Poinsot polyhedron, with Schläfli symbol {5/2,3}. It is one of four nonconvex regular polyhedra...
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downloaded from websites and printed. Action origami Cardboard modeling Net (polyhedron) Origamic architecture Paper plane Paper prototyping Paper model Pop-up...
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In geometry, a uniform polyhedron is a polyhedron which has regular polygons as faces and is vertex-transitive (transitive on its vertices, isogonal, i...
38 KB (1,075 words) - 19:11, 24 June 2025
Truncated dodecahedron (section Related polyhedron)
truncated dodecahedron can be applied in the polyhedron's construction known as the augmentation. Examples of polyhedrons are the Johnson solids, whose constructions...
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Gyroelongated square cupola (category Polyhedron stubs)
triangles 1+4 squares 1 octagon Edges 44 Vertices 20 Vertex configuration 4(3.43) 2.4(33.8) 8(34.4) Symmetry group C4v Dual polyhedron - Properties convex Net...
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In geometry, the gyroelongated square bipyramid is a polyhedron with 16 triangular faces. it can be constructed from a square antiprism by attaching two...
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