Artificial intelligent assistant

tetrahedral

answer Answers

ProphetesAI is thinking...

MindMap

Sources

1
tetrahedral
tetrahedral, a. (tɛtrəˈhiːdrəl, -ˈhɛdrəl) Also 8–9 tetraedral. [f. late Gr. τετράεδρος (see tetrahedron) + -al1.] 1. a. Having four sides (in addition to the base or ends); enclosed or contained laterally by four plane surfaces, as a tetrahedral prism or tetrahedral pyramid. tetrahedral angle, tetra... Oxford English Dictionary
prophetes.ai 0.0 3.0 0.0
2
Tetrahedral prism
In geometry, a tetrahedral prism is a convex uniform 4-polytope. Projections The tetrahedron-first orthographic projection of the tetrahedral prism into 3D space has a tetrahedral projection envelope. wikipedia.org
en.wikipedia.org 0.0 1.5 0.0
3
Tetrahedral bond angle proof (video) | Khan Academy
So you could say that this angle is 109.5 degrees, or the angle back here. It's all the same. And so an sp3 bond angle is 109.5. And the proof for this was shown to me by two of my students. So Anthony Grebe and Andrew Foster came up with a very nice proof to show that the bond angle of an sp3 hybridized carbon is 109.5 degrees.
www.khanacademy.org 0.0 0.90000004 0.0
4
Tetrahedral cupola
In 4-dimensional geometry, the tetrahedral cupola is a polychoron bounded by one tetrahedron, a parallel cuboctahedron, connected by 10 triangular prisms Related polytopes The tetrahedral cupola can be sliced off from a runcinated 5-cell, on a hyperplane parallel to a tetrahedral cell. wikipedia.org
en.wikipedia.org 0.0 0.6 0.0
5
Show that tetrahedral has a segment perpendicular to a plane ![enter image description here]( In this tetrahedral, I have that $$DC = DA, AB = BC$$ and also, I have that angle $DBA$ is $90^\circ$. I need to show ...
Try instead showing that $\triangle DBA$ and $\triangle DBC$ are congruent.
prophetes.ai 0.0 0.6 0.0
6
Tetrahedral kite
A tetrahedral kite is a multicelled rigid box kite composed of tetrahedrally shaped cells to create a kind of tetrahedral truss. The tetrahedral kite is stable and easy to fly, but is not a light-wind kite. wikipedia.org
en.wikipedia.org 0.0 0.3 0.0
7
Is every number a sum of $3$ tetrahedral numbers? It is known that every number can be represented by a sum of $3$ triangular numbers. According to Gauss (see formula $35$ in mathworld article) $$ \text{num}=\Delta+\D...
If $\Delta(n)$ for negative $n$ is allowed, then certainly the integers $t=0\dots 10000$ are all possible. The most awkward of these is $t=6398=\Delta(-1121877)+\Delta(1037512)+\Delta(665832)$. The size of the summands might give you an idea of the size of the task of seeking an explicit solution fo...
prophetes.ai 0.0 0.3 0.0
8
Tetrahedral number
Tetrahedral roots and tests for tetrahedral numbers By analogy with the cube root of , one can define the (real) tetrahedral root of as the number such Equivalently, if the real tetrahedral root of is an integer, is the th tetrahedral number. wikipedia.org
en.wikipedia.org 0.0 0.3 0.0
9
The 30 tetrahedral ring in the 600 cell I've learned about the 30 tetrahedral ring on this wikipedia page. ![enter image description here]( I want to make an origami model of this but I'm not 100% sure this is not wa...
The 30-tetrahedron ring is not a 3D structure, but a 4D structure: It is a piece of the surface of a 4D shape. In its true 4D form, every vertex has the same distance from the center, as does every edge. It is obtained from the Boerdijk-Coxeter helix by folding the chain along each of its touching f...
prophetes.ai 0.0 0.3 0.0
10
Tetrahedral bipyramid
A tetrahedral bipyramid can be seen as two tetrahedral pyramids augmented together at their base. See also Triangular bipyramid - A lower dimensional analogy of the tetrahedral bipyramid. wikipedia.org
en.wikipedia.org 0.0 0.3 0.0
11
Does adding more edge to the Triakis Tetrahedral Graph make it non-planar because it contains the a subgaph homeomorphic to $K_{3,3}$? I know that a graph is planar if and only if it contains no subgraph homeomorphic ...
Since the triakis tetrahedral graph has $8$ vertices and $18=3(8)-6$ edges, adding any edge to it will give you a graph with too many edges to be planar
prophetes.ai 0.0 0.0 0.0
12
Binary tetrahedral group
It is an extension of the tetrahedral group T or (2,3,3) of order 12 by a cyclic group of order 2, and is the preimage of the tetrahedral group under the The binary tetrahedral group is the covering group of the tetrahedral group. wikipedia.org
en.wikipedia.org 0.0 0.0 0.0
13
A question about tetrahedral and pentagonal numbers My question is: is it possible to find pentagonal numbers which are also tetrahedral? A pentagonal number is obtained by the formula: $$P_k=\frac{1}{2}k(3k-1)$$ The ...
Let $Y=3k-1,X=n+1$, then, as @GerryMyerson said in the comments, you have an elliptic curve $Y^2+Y=X^3-X$, and as such it can only have finitely many integer solutions. You can use Sage to find them: sage: E=EllipticCurve([0,0,1,-1,0]) sage: E Elliptic Curve defined by y^2 + y = x^3 - x over Rationa...
prophetes.ai 0.0 0.0 0.0
14
Centered tetrahedral number
A centered tetrahedral number is a centered figurate number that represents a tetrahedron. Parity and divisibility Every centered tetrahedral number is odd. wikipedia.org
en.wikipedia.org 0.0 0.0 0.0
15
Short exact sequence with binary tetrahedral group does not split The following is a short exact sequence, where $T$ is the binary tetrahedral group (equivalently the Hurwitz units), and $Q$ is the quotient of $T$ by ...
If the extension split, then the image of $Q$ ($\cong A_4$) inside $T$ under a splitting homomorphism would be normal, as its index would be equal to $2$. However, the only normal subgroups are the centre of order $2$ and the quaternion subgroup of index $3$. One way to see that $T$ has no subgroup ...
prophetes.ai 0.0 0.0 0.0