Tetrahedron polyhedra faces triangular. Medical search. Frequent questions

Or as a triangular pyramid with four faces known as a tetrahedron. (whatifshow.com)
The tetrahedron is one kind of pyramid, which is a polyhedron with a flat polygon base and triangular faces connecting the base to a common point. (fxsolver.com)
A polyhedron with four triangular faces , or a pyramid with a triangular base . (mathwords.com)
In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners. (unionpedia.org)
The tetrahedron also known as a triangular pyramid, it has four triangular faces, four vertex corners, and six straight edges. (ka-gold-jewelry.com)
The tetrahedron is known as the triangular pyramid due to its triangular base, which could be any of the four faces. (ka-gold-jewelry.com)
It is a unique pyramid with the faces connecting the base to a common point. (ka-gold-jewelry.com)
The eight faces are a composition of equilateral triangles, four meeting at the same vertex creating a square-bottomed pyramid. (ka-gold-jewelry.com)
Pyramid - is a polyhedron, one of whose faces (called the base) is an arbitrary polygon, and the remaining faces (called side faces) are triangles that have a common vertex. (owlcalculator.com)
The area of a pyramid is the total area of all its faces. (owlcalculator.com)
The area of the lateral surface of a regular pyramid is equal to the sum of the areas of its faces, the number of faces depends on the n-number of sides of the polygon at the base. (owlcalculator.com)
The area of each face is calculated according to the formula of the area of isosceles triangle where the apothem of the pyramid serves instead of height. (owlcalculator.com)
A pyramid is a polyhedron formed by connecting each vertex of a polygonal base to a point called the apex. (sacred-geometry.es)
There are only three pyramids whose bases are a regular polygon ang whose edges are all equal: the tetrahedron, the square pyramid and the pentagonal pyramid (Figure 2). (sacred-geometry.es)
Tetrahedron consists of 4 equilateral triangles, where 3 triangular faces meet at the same vertex forming a triangular base pyramid shape. (starrystories.com)

The Goldberg construction of symmetric cages involves pasting a patch cut out of a regular tiling onto the faces of a Platonic host polyhedron, resulting in a cage with the same symmetry as the host. (mdpi.com)
Icosahedron is a polyhedron with 12 vertices and, 20 faces, where a regular icosahedron is a Platonic solid. (x3dgraphics.com)
A regular tetrahedron contains equilateral triangles and is a Platonic solid. (x3dgraphics.com)
Note: A regular tetrahedron, which has faces that are equilateral triangles , is one of the five platonic solids . (mathwords.com)
Platonic solids are the only polyhedral shapes with exactly the same faces. (ka-gold-jewelry.com)
After further thought, it occurred to me that it was possible to replace the faces of any Platonic solid with pyramids, which meant that figures based on the octahedron and icosahedron could also be constructed. (maths.org)
With partners, students studied a collection of dice that included four of the five platonic solids: hexahedrons (6 square faces), octahedrons (8 triangular faces), dodecahedrons (12 pentagonal faces), and icosahedrons (20 triangular faces). (vanderbilt.edu)
We then used toothpicks and clay to model the platonic solid that was missing from our collection: the four-sided tetrahedron, which has triangular faces. (vanderbilt.edu)
Platonic solids are convex polyhedra where each face is identical, composed of regular polygons. (authentic-docs.com)
An icosahedron is the most complex of the platonic solids, comprising twenty equilateral triangular faces. (authentic-docs.com)
Platonic solids are unique geometric shapes with uniform faces and angles. (authentic-docs.com)
To be a Platonic solid, a polyhedron must be convex. (owenbechtel.com)
What is it that makes these polyhedra flat and the Platonic solids convex? (owenbechtel.com)
Draw lines between each Platonic solid (regular polyhedron), its name, and its unfolded form. (enchantedlearning.com)
When their faces are divided into sectors and all triangles turned into tetractyses, the first 4 Platonic solids have 672 yods. (64tge8st.com)
Platonic solids are solids whose faces consist of triangles/squares/pentagons only, with no mixing of shapes. (eurobricks.com)

Antiprisms are similar to prisms , except that the bases are twisted relatively to each other, and that the side faces (connecting the bases) are 2 n triangles, rather than n quadrilaterals . (wikipedia.org)
Uniform antiprisms form an infinite class of vertex-transitive polyhedra, as do uniform prisms. (wikipedia.org)
In regular prisms, all side faces (all squares) are at right angles to the bases. (polyhedramath.com)
This can be achieved by sticking the square faces of 4 triangular prisms with 8 triangular faces to the square faces of 6 square antiprisms with 48 triangular faces. (64tge8st.com)

In geometry, a polyhedron is a solid in three dimensions with flat faces and straight edges. (wikipedia.org)
Every edge has exactly two faces, and every vertex is surrounded by alternating faces and edges. (wikipedia.org)
The smallest polyhedron is the tetrahedron with 4 triangular faces, 6 edges, and 4 vertices. (wikipedia.org)
Anything that has multiple faces joined at their edges can be a polyhedron. (whatifshow.com)
Edge: Edges are the lines where 2 faces meet. (vedantu.com)
Now let us dive deeper into faces, edges and vertices of basic 3d shapes. (vedantu.com)
Dodecahedron is a 12-sided polyhedron with 30 edges, 20 vertices and 12 pentagonal faces. (x3dgraphics.com)
Octahedron is an 8-sided polyhedron with 6 vertices, 8 triangular faces and 12 edges. (x3dgraphics.com)
In geometry, any polyhedron is associated with a second dual figure, where the vertices of one correspond to the faces of the other and the edges between pairs of vertices of one correspond to the edges between pairs of faces of the other. (unionpedia.org)
A cube also known as a hexahedron is a three-dimensional object made up of six square faces, twelve edges, and eight vertices. (ka-gold-jewelry.com)
Octahedron is a three-dimensional shape with eight faces, twelve edges, and six vertices. (ka-gold-jewelry.com)
This resulted in a peculiar shape with 12 faces, 18 edges, and 8 vertices. (maths.org)
This produced a shape with 24 faces, 36 edges, and 14 vertices. (maths.org)
It is a type of heptahedron with seven faces, fifteen edges, and ten vertices. (usefullinks.org)
This polyhedron has 9 faces, 21 edges, and 14 vertices. (usefullinks.org)
Let's understand the terms associated with 3D shapes such as faces, edges, and vertices. (codinghero.ai)
The following table shows the faces, edges, and vertices of a few 3-dimensional shapes (3D shapes). (codinghero.ai)
Euler's formula shows a relation between the number of vertices, edges, and faces in a solid shape. (codinghero.ai)
According to the formula, the number of vertices and faces together is exactly two more than the number of edges. (codinghero.ai)
We can write Euler's formula as: $\text{Faces} + \text{Vertices} = \text{Edges} + 2$, i.e. (codinghero.ai)
Find the number of faces in a solid shape having $7$ vertices and $12$ edges. (codinghero.ai)
Is it possible to have a solid shape with $5$ vertices, $3$ edges, and $2$ faces? (codinghero.ai)
A cube is a three-dimensional shape (3D shape) that has six square faces, eight vertices, and twelve edges. (codinghero.ai)
These shapes are three-dimensional, regular polyhedra that meet specific criteria: congruent faces, angles, and edges. (authentic-docs.com)
That's because their faces are also rigid, so they are not allowed to be distorted (obviously there are nonrigid polyhedra if you only consider the edges). (gher.space)
Turning the 120 faces into tetractyses generates 336 hexagonal lining edges that are either above or below this plane (84 pairs in each half). (64tge8st.com)
10. Surrounding the axis above the equator are 84 edges, 24 vertices & 60 triangular faces, i.e, 84 vertices & triangles. (64tge8st.com)
Polyhedra: A polyhedron is a three-dimensional object with flat faces, straight edges, and sharp corners. (etutorworld.com)
Can polyhedron have 10 faces, 20 edges and 15 vertices? (wiredfaculty.com)
A cuboid has _______ faces, _______ edges and _______ vertices. (wiredfaculty.com)
It has 4 vertices, 6 edges and 4 faces. (starrystories.com)
Cut-and-fold a polyhedron with 7 vertices, 14 faces, 21 edges, and a hole through it like a doughnut. (omeka.net)
The formula for finding the surface area of a triangular prism is given as: A = bh + L(s1 + s2 + s3) Where A is the surface area, b is the bottom edge of the base triangle, h is the height of the base triangle, L is the length of the prism, and s1, s2, and s3 are the three edges of the base triangle. (bastidasyasociados.com)

In geometry, a prism is a polyhedron with an n -sided polygonal base, another congruent parallel base (with the same rotational orientation), and n other faces (necessarily all parallelograms) joining corresponding sides of the two bases. (polyhedramath.com)
What is the formula for the total surface area of a triangular prism? (bastidasyasociados.com)
The surface area of a triangular prism formula uses the values of base, height, sides and prism height to determine the SA of the triangle prism. (bastidasyasociados.com)
Generally, the surface area of a triangular prism formula is equal to twice the base area plus the perimeter of the base times the height or length of the solid. (bastidasyasociados.com)
Top Surface Area of a Triangular Prism Formula Finds the area contained by the triangular surface at the top of the prism. (bastidasyasociados.com)
4. The measure of the total surface area occupied by the triangular based prism is defined as the surface area of a triangular prism. (bastidasyasociados.com)
Since the bases of a triangular prism are triangles, you will use this formula to calculate their area. (bastidasyasociados.com)

for n = 3 , the regular octahedron as a triangular antiprism (non-degenerate antiprism). (wikipedia.org)
Octahedron: It is made up of 8 equilateral triangular faces. (vedantu.com)
The tetrahedron is termed as self-dual meaning that its other dual is another tetrahedron, combined they form a stellated octahedron or Stella Octangula (a compound figure of two dual regular Tetrahedron). (ka-gold-jewelry.com)
Octahedron consists of 8 equilateral triangular faces, where 4 equilateral triangular faces meet at the same vertex forming a square base. (starrystories.com)

Except in the cases of four and five vertices, the lists below are by no means exhaustive of all possible polyhedra with the given number of vertices, but rather just include particularly simple/common/well-known/named examples. (wikipedia.org)
The "Counting Polyhedra" link below gives the exact number of distinct polyhedra with n vertices for small values of n. (wikipedia.org)
[2] The existence of antiprisms was discussed, and their name was coined by Johannes Kepler , though it is possible that they were previously known to Archimedes , as they satisfy the same conditions on faces and on vertices as the Archimedean solids . (wikipedia.org)
The attribute of three dimensional objects are face, edge and vertices. (vedantu.com)
Which are face, edge and vertices. (vedantu.com)
Vertices: Vertices are the points where 3 faces meet. (vedantu.com)
Icosahedron is a polyhedron with twenty faces, subdivided to level 1, where all 42 vertices and 80 faces produce regular (equilateral) triangles. (x3dgraphics.com)
In geometry, an edge is a particular type of line segment joining two vertices in a polygon, polyhedron, or higher-dimensional polytope. (unionpedia.org)
Having read the NRICH article Classifying Solids using Angle Deficiency , I wondered what would happen if, instead of relaxing the requirement that all the faces be the same (which leads to the Archimedean solids), I relaxed the requirement that all the vertices be the same. (maths.org)
I constructed solids which consisted of identical, regular faces where the number of faces meeting at a vertex was a characteristic of that vertex, and each face had to have the same pattern of 'vertex numbers' around its vertices. (maths.org)
For example, the first shape I constructed had triangular faces, with three faces meeting at one vertex and six faces meeting at the other two vertices of each triangle. (maths.org)
As each face already has one $V_5$ vertex, the remaining two vertices on each face must be one $V_3$ and one $V_5$, so around the pentagon I must alternate between $V_3$ and $V_5$ vertices. (maths.org)
In geometry, a prismatoid is a polyhedron whose vertices all lie in two parallel planes. (usefullinks.org)
Face vertices OK. (richelbilderbeek.nl)
My idea was to check abstract polyhedra of up to 12 vertices, maybe 13 and pick the legal verfs from them. (gher.space)
3 degree vertices so that the dihedral angles can be resolved later once you have enough faces to fix the angles. (gher.space)
You can get one inscribed inside the other, and the vertices of one meet the centers of the faces of the other. (eurobricks.com)

In geometry , an n -gonal antiprism or n -antiprism is a polyhedron composed of two parallel direct copies (not mirror images) of an n -sided polygon , connected by an alternating band of 2 n triangles . (wikipedia.org)
Then the antiprism is called a right antiprism , and its 2 n side faces are isosceles triangles . (wikipedia.org)
A uniform n -antiprism has two congruent regular n -gons as base faces, and 2 n equilateral triangles as side faces. (wikipedia.org)
Question 1 Can a polyhedron have for its faces (ii) 4 triangles? (teachoo.com)
Yes, a polyhedron can have 4 triangles for its faces. (teachoo.com)
A regular tetrahedron is one in which all four faces are equilateral triangles. (fxsolver.com)
All faces are regular (equilateral) triangles. (x3dgraphics.com)
For example, each vertex of a tetrahedron has 3 adjacent equilateral triangles. (ka-gold-jewelry.com)
Its lateral faces can be trapezoids or triangles. (usefullinks.org)
Most Johnson solids' verfs will be triangles, and there are a huge number of AP's that have triangular faces. (gher.space)
An antiprism is a polyhedron composed of two parallel copies of a base polygon connected by an alternating band of triangles (Figure 4a). (sacred-geometry.es)
Uniform antiprisms have equilateral triangles as side faces. (sacred-geometry.es)
Something I found recently that might be useful to you: the dihedral angle of a tetrahedron, arcos(1/3) = 70.5 deg, appears as an angle of certain integer triangles, which can be made with liftarms. (eurobricks.com)

For example, cutting equilateral triangular patches from a 6.6.6 tiling of hexagons and pasting them onto the full triangular faces of an icosahedron produces icosahedral fullerene cages. (mdpi.com)
The Fuller projection map, also known as a Dymaxion map, is a projection of the Earth onto the faces of an icosahedron. (whatifshow.com)
Only at the center of each icosahedron face would you weigh this much. (whatifshow.com)
An icosahedron, which is a 20 sided figure," said Chaikin, "cannot be made with tetrahedrons. (languageandphilosophy.com)
I decided I would like to make a linear model of an icosahedron with tetrahedrons. (languageandphilosophy.com)
Icosahedron consists of 20 equilateral triangular faces, where 5 equilateral triangular faces meet at the same vertex forming a pentagonal base. (starrystories.com)

In geometry, a facet is a feature of a polyhedron, polytope, or related geometric structure, generally of dimension one less than the structure itself. (unionpedia.org)
Polyhedral combinatorics is a branch of mathematics, within combinatorics and discrete geometry, that studies the problems of counting and describing the faces of convex polyhedra and higher-dimensional convex polytopes. (unionpedia.org)
In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions. (unionpedia.org)
In geometry, a triakis tetrahedron (or kistetrahedron) is an Archimedean dual solid, or a Catalan solid. (unionpedia.org)
In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off. (unionpedia.org)
In geometry, a cuboid is a hexahedron, a six-faced solid. (usefullinks.org)
In geometry, the triangular cupola is one of the Johnson solids (J3). (usefullinks.org)
This modular paper cutout is based on triangular geometry and mates with neighbors (edge-connecting) to create tetrahedra, octohedra, and icosahedra. (omeka.net)

It is generally agreed that the ancient Pythagoreans discovered the tetrahedron, the cube, and the dodecahedron. (ka-gold-jewelry.com)
this should have produced a figure formed from a dodecahedron with faces replaced by pentagonal pyramids, but I found it very difficult to physically construct. (maths.org)
A dodecahedron consists of twelve pentagonal faces. (authentic-docs.com)
Dodecahedron consists of 12 pentagonal faces, where 3 pentagonal faces meet at the same vertex. (starrystories.com)

Antiprisms are a subclass of prismatoids , and are a (degenerate) type of snub polyhedron . (wikipedia.org)

Tetrahedron: it is made up of 4 equilateral triangular faces. (vedantu.com)
This polyhedron features eight equilateral triangular faces. (authentic-docs.com)

Polyhedrons come in all shapes and sizes. (whatifshow.com)
Face: Faces are flat surfaces in 3 dimensional shapes. (vedantu.com)
3D shapes can have more than one face. (codinghero.ai)
They represent the only five shapes where each face and angle is identical, making them a subject of intrigue and study. (authentic-docs.com)
An irregular polyhedron consists of polygons with different shapes. (starrystories.com)

For example, all the faces of a cube (hexahedron) are congruent squares. (ka-gold-jewelry.com)
In our work with clay and toothpicks, geometers noted that placing the tetrahedron atop a cube (or hexahedron) resembles a house, albeit with a roof that doesn't provide full coverage. (vanderbilt.edu)
The hexahedron, commonly known as a cube, consists of six square faces. (authentic-docs.com)

The dual polyhedron of an n -gonal antiprism is an n -gonal trapezohedron . (wikipedia.org)
The dual polyhedron of an antiprism is a deltohedron (or trapezohedron or antidipyramid). (sacred-geometry.es)

Here we show that pasting cutouts from a 6.6.6 tiling onto the full hexagonal and triangular faces of an Archimedean host polyhedron, the truncated tetrahedron, produces two series of tetrahedral (T d ) fullerene cages. (mdpi.com)
The six hexagonal yods on the sides of each tetractys form two intersecting triangular arrays of 3 yods. (64tge8st.com)

It has a polygon base and flat (triangular) sides that join at a point which is called the apex. (vedantu.com)
it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides. (usefullinks.org)
Our geometers noted that the cube has square faces, six sides, "more points," and no round parts. (vanderbilt.edu)
The interior angles of the base faces is $\frac{180(n-2)}{n}$, where n is the number of sides. (polyhedramath.com)
A solid body of six sides or faces. (rhymingnames.com)
A solid bounded by twenty sides or faces. (rhymingnames.com)
How many sides does a truncated tetrahedron have? (answers.com)
How many sides to a tetrahedron? (answers.com)
How sides does a tetrahedron has? (answers.com)

Cube has 6 square faces, where 3 squares meet at the same vertex. (starrystories.com)

Notes: Polyhedra with different names that are topologically identical are listed together. (wikipedia.org)
This polyhedron has 20 identical triangular faces. (whatifshow.com)
Each face is identical to every other face. (ka-gold-jewelry.com)
At each vertex, three identical square faces meet. (ka-gold-jewelry.com)
Both of these consisted of two identical pyramids joined at their bases (pentagonal pyramids and tetrahedra respectively), and were convex. (maths.org)

If there is room left over (i.e. the angles of the polygons add to less than 2π), the resulting polyhedron will be convex. (owenbechtel.com)
If the angles add to more than 2π, then it is impossible to fit that number of polygons around a single vertex, and the polyhedron cannot exist in Euclidean space. (owenbechtel.com)
The thing is that I don't think there are any nonrigid polyhedra the way there nonrigid polygons. (gher.space)
A polyhedron is a three dimensional solid formed by joining polygons together. (starrystories.com)
There are two types of polyhedrons they are regular and irregular polygons. (starrystories.com)
A regular polyhedron consists of regular polygons. (starrystories.com)

The tetrahedron is the only convex polyhedron that has four faces. (fxsolver.com)
Cauchy showed that if the faces of a convex polyhedron are rigid then the whole polyhedron is rigid. (ne.jp)
We initiate the study of how much the surface of a convex polyhedron must be cut to allow continuous flattening with rigid faces. (ne.jp)

In Mathematics, a Triangular Bipyramid is a six-sided diamond, made from six isosceles triangle faces. (papernpearlz.com)
As the name suggests, the Triangular Bipyramid is constructed by joining two Triangular Pyramids (Tetrahedra) along one face. (papernpearlz.com)
A closely related polyhedron is the dipyramid (or bipyramid ), which is formed by joining two pyramids base to base (Figure 3b). (sacred-geometry.es)

If faces are all regular, it is a semiregular polyhedron. (usefullinks.org)

It is built up from layers of PN4 tetrahedra, PN5 trigonal bipyramids and MN6 octahedra. (bvsalud.org)

According to the number of base angles, triangular (tetrahedron), quadrangular pyramids are distinguished, etc. (owlcalculator.com)

A tetrahedron (plural: tetrahedra) is a polyhedron composed of four triangular faces, three of which meet at each vertex. (fxsolver.com)

The volume of a regular tetrahedron can be calculated by the edge length. (fxsolver.com)
There are five regular convex Euclidean polyhedra. (owenbechtel.com)
In general, given a regular polygonal face, the pyramid's height can take any value. (sacred-geometry.es)
We show that a regular tetrahedron with side lengths 1 can be continuously flattened with rigid faces after cutting a slit of length .046 and adding a few extra creases. (ne.jp)

It is the simplest of the solids and the only one with less than five faces. (ka-gold-jewelry.com)
There is a strong claim that Pythogars is the first person who knew about the cube and tetrahedron solids. (starrystories.com)

If the angles add to exactly 2π, the polyhedron will be flat. (owenbechtel.com)
In a polyhedron {a, b}, there are b faces around each vertex, so the sum of the angles is obtained by multiplying the angle of a single polygon by b: (a - 2) πb/a = πb - 2πb/a. (owenbechtel.com)
The polyhedra themselves are rigid, but when you're trying to put the verfs together into these polyhedra, you don't know how many verfs to fit around a vertex (since the point is to find these polyhedra -- we wouldn't know how many of which verfs to put around the vertex and what the dihedral angles should be, until after we have already found said polyhedra). (gher.space)

As you moved toward the corners of each face you'd feel the pull of gravity lessening. (whatifshow.com)
You'd have quite an uphill journey through the extremes of the lifeless corners of the Earth just to get to the other faces. (whatifshow.com)

The dihedral angle between two faces is 70.53 degrees. (starrystories.com)
The dihedral angle between the faces is 90 degrees. (starrystories.com)

does the opposite: detects boundary faces sharing points and merges them into an internal face. (cfd-online.com)

Similarly, a cuboid has all its faces in the shape of a rectangle. (codinghero.ai)

From my analysis of the model I made, I think it has the same set of symmetries as the tetrahedron, being essentially a tetrahedron with each face replaced by another tetrahedron. (maths.org)

Draw an unfolded cube and tetrahedron. (enchantedlearning.com)

But there could be one polyhedron that is the best contender for Earth's new shape. (whatifshow.com)
For example, a cube has all its faces in the shape of a square. (codinghero.ai)
A cylinder is a 3D shape that has two circular faces, one at the top and one at the bottom, and one curved surface. (codinghero.ai)

The author would like to acknowledge the following: Dr. Mike Linzey for many suggestions and comments, Dr. Robert Meurant for help with the polyhedra coordinates, to the many students at the Architecture School who were the first users and hence debuggers. (paulbourke.net)

Bellows theorem says that a polyhedron cannot change its volume while keeping its facets rigid. (ne.jp)
Zachary Abel, Robert Connelly, Erik D. Demaine, Martin Demaine, Thomas Hull, Anna Lubiw and Tomohiro Tachi : "Rigid Flattening of Polyhedra with Slits ," in Abstracts for the Sixth International Conference on Origami in Science, Mathematics, and Education (6OSME), 2014. (ne.jp)

a three-dimensional solid bounded exclusively by flat faces is a polyhedron. (unionpedia.org)
Regardless of how it is turned, each side of the tetrahedron sits flat, perfectly symbolizing balance and stability, both physically and spiritually. (ka-gold-jewelry.com)
A face refers to any single flat or curved surface of a solid object. (codinghero.ai)
Precisely, how can one determine from the Schläfli symbol alone whether a polyhedron is 1) flat, 2) convex, or 3) impossible in Euclidean space? (owenbechtel.com)
For flat polyhedra, the value is 0. (owenbechtel.com)

Cube: It is made up of 6 square shaped faces. (vedantu.com)
The last polyhedron that I had made from this book was way back in 2010. (papernpearlz.com)
They have the same number of faces meeting the vertex and the angle made at each vertex is also the same. (starrystories.com)

A solid bounded by twelve quadrilateral faces. (rhymingnames.com)
A solid having twelve faces. (rhymingnames.com)

Its faces are quadrilaterals. (usefullinks.org)

If we remove this requirement, but maintain that the polyhedron cannot intersect itself, we obtain three more polyhedra, each with an infinite number of faces. (owenbechtel.com)

Then I'd cast the fracture pattern as a solid and leave the tetrahedrons linear. (languageandphilosophy.com)
It is the only finite perfectly symmetrical solid whose faces are square instead of triangular. (ka-gold-jewelry.com)
I then tried some other configurations, such as $V_{3,5,5}$ and quickly found that, for triangular faces, if you have an odd vertex number and the other two numbers are not equal to each other, the solid cannot be constructed. (maths.org)
So you're saying we already have the list of these verfs (which are polyhedra with Johnson solid verfs as faces)? (gher.space)
A solid having forty-eight equal triangular faces. (rhymingnames.com)
Poly means many and hedra means face of the solid. (starrystories.com)

It is a hemihedral form of the isometric system, allied to the tetrahedron. (rhymingnames.com)
Ten Al3+ -centered octahedra form a highly condensed tetra-face-capped octahedra-based unit that is a novel structure motif in network compounds. (bvsalud.org)

A tetrahedron is a four-faced polyhedron where each face is an equilateral triangle. (authentic-docs.com)

However, cutting the surface of the polyhedron destroys rigidity and may even allow the polyhedron to be flattened. (ne.jp)

Anatomy4

Organisms10

Diseases1

Chemicals and Drugs5

Analytical, Diagnostic and Therapeutic Techniques and Equipment5

Psychiatry and Psychology8

Phenomena and Processes9

Humanities1

Information Science3

Pyramid15

Platonic16

Prisms4

Edges33

Prism7

Octahedron4

Vertices17

Triangles13

Icosahedron6

Geometry8

Dodecahedron4

Antiprisms1

Equilateral triangular faces2

Shapes5

Hexahedron3

Antiprism2

Hexagonal2

Sides9

Squares1

Identical5

Polygons6

Convex polyhedron3

Bipyramid3

Semiregular polyhedron1

Trigonal1

Base1

Plural1

Regular4

Solids2

Angles3

Corners2

Dihedral angle2

Boundary1

Cuboid1

Another tetrahedron1

Cube and tetrahedron1

Shape3

Coordinates1

Rigid2

Flat5

Made3

Twelve2

Quadrilaterals1

Infinite1

Solid6

Form2

Triangle1

Surface1