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heptagonal
heptagonal, a. (n.) (hɛpˈtægənəl) [f. heptagon + -al1: cf. F. heptagonale (1633 in Hatz.-Darm.).] Having seven angles and seven sides. heptagonal numbers, the series of polygonal numbers 1, 7, 18, 34, 55, 81, etc. formed by continuous summation of the arithmetical series 1, 6, 11, 16, 21, 26, etc.16... Oxford English Dictionary
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Heptagonal number
The n-th heptagonal number is given by the formula . Heptagonal roots In analogy to the square root of x, one can calculate the heptagonal root of x, meaning the number of terms in the sequence up to and wikipedia.org
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heptagonal
heptagonal/hepˈtægənl; hɛp`tæɡənl/ adj. 牛津英汉双解词典
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Heptagonal prism
In geometry, the heptagonal prism is a prism with heptagonal base. This polyhedron has 9 faces (2 bases and 7 sides), 21 edges, and 14 vertices. Images The heptagonal prism can also be seen as a tiling on a sphere: Related polyhedra References External links Prismatoid polyhedra wikipedia.org
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Heptagonal bipyramid
The heptagonal bipyramid is one of the infinite set of bipyramids, dual to the infinite prisms. If an heptagonal bipyramid is to be face-transitive, all faces must be isosceles triangles. wikipedia.org
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Example of a Monohedral Regular Heptagonal Polygon I had asked Example of a heptagonal polyhedron? when looking for an example of a polyhedron with only heptagonal sides. The answers revealed that no such _convex_ po...
The Klein quartic may be represented with 56 triangular faces, seven of which meet at each of 24 vertices. The dual of this would have 24 seven-sided faces., and in fact the surface can indeed be tiled by 24 _regular_ heptagons. The genus of this object is, in fact, greater than one. It is three. Si...
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Heptagonal antiprism
In geometry, the heptagonal antiprism is the fifth in an infinite set of antiprisms formed by an even-numbered sequence of triangle sides closed by two As faces, it has the two heptagonal bases and, connecting those bases, 14 isosceles triangles. wikipedia.org
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Example of a heptagonal polyhedron? I did a lot of googling but I'm unable to find an example of a convex polyhedron in 3-dimensional space, such that its faces are all congruent irregular heptagons. Is there a reas...
$$ V - E + F = 2 $$ let's see, $$ E = 7 F / 2 $$ Each vertex meets at least three faces, $$ V \leq 7F / 3. $$ $$ V - E + F \leq \frac{7F}{3} - \frac{5F}{2} = \frac{-F}{6} $$ $$ V - E + F \leq \frac{-F}{6} $$ $$ 2 \leq \frac{-F}{6} $$ which is bad
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Heptagonal triangle
All heptagonal triangles are similar (have the same shape), and so they are collectively known as the heptagonal triangle. The heptagonal triangle has various remarkable properties. Key points The heptagonal triangle's nine-point center is also its first Brocard point. wikipedia.org
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Centered heptagonal number
dot in successive heptagonal layers. Centered heptagonal prime A centered heptagonal prime is a centered heptagonal number that is prime. wikipedia.org
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Determine if a specific number is -gonal I am currently working with -gonal numbers (pentagonal, hexagonal, pentagonal) and I have run into a bit of an issue. Currently, if I want to know the nth -gonal number I can w...
For constants $a,b$ you have $$\sum_{i=1}^n ai+b = a \sum_{i=1}^n i + b \sum_{i=1}^n 1 = \frac{a n(n+1)}{2} + bn.$$ You can set this equal to your given number and solve for $n$; if you get an integer then your given number was whatever-gonal. I'm not sure if this _fully_ answers your question, sinc...
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File:Poincare halfplane heptagonal hb.svg - 维基百科，自由的百科全书
此svg文件的png预览的大小：800 × 400像素。 其他分辨率：320 × 160像素 | 640 × 320像素 | 1,024 × 512像素 | 1,280 × 640像素 | 2,560 × ...
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Heptagonal tiling
In geometry, a heptagonal tiling is a regular tiling of the hyperbolic plane. From a Wythoff construction there are eight hyperbolic uniform tilings that can be based from the regular heptagonal tiling. wikipedia.org
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File:Poincare halfplane heptagonal hb.svg - 维基百科，自由的百科全书
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Heptagonal tiling honeycomb
Geometry The Schläfli symbol of the heptagonal tiling honeycomb is {7,3,3}, with three heptagonal tilings meeting at each edge. Honeycombs (geometry) Heptagonal tilings wikipedia.org
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