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Type of polytope in mathematics
specifically in combinatorial commutative algebra, a convex lattice polytope P is called normal if it has the following property: given any positive integer
Normal_polytope
Topics referred to by the same term
behavior useful in number theory Normal polytopes, in polyhedral geometry and computational commutative algebra Normal ring, a reduced ring whose localizations
Normal
Structure in convex geometry
specifically convex geometry, the normal fan of a convex polytope P is a polyhedral fan that is dual to P. Normal fans have applications to polyhedral
Normal_fan
Convex hull of points on moment curve
mathematics, a cyclic polytope, denoted C(n, d), is a convex polytope formed as a convex hull of n distinct points on a rational normal curve in Rd, where
Cyclic_polytope
Point where two or more curves, lines, or edges meet
is a corner point of a polygon, polyhedron, or other higher-dimensional polytope, formed by the intersection of edges, faces or facets of the object. In
Vertex_(geometry)
Multi-dimensional generalization of triangle
adjective in the normal form simplex ("simple").[better source needed] The regular simplex family is the first of three regular polytope families, labeled
Simplex
needed] 142 polytope, 241 polytope, 421 polytope, Truncated 421 polytope, Truncated 241 polytope, Truncated 142 polytope, Cantellated 421 polytope, Cantellated
List_of_mathematical_shapes
Five-dimensional geometric shape
5-polytope is a five-dimensional uniform polytope. By definition, a uniform 5-polytope is vertex-transitive and constructed from uniform 4-polytope facets
Uniform_5-polytope
Uniform 6-dimensional polytope
uniform 6-polytope is a six-dimensional uniform polytope. A uniform polypeton is vertex-transitive, and all facets are uniform 5-polytopes. The complete
Uniform_6-polytope
Convex polytope of parenthesizations
In mathematics, an associahedron Kn is an (n − 2)-dimensional convex polytope in which each vertex corresponds to a way of correctly inserting opening
Associahedron
Relation of an integral polytope's volume to how many integer points it encloses
mathematics, an integral polytope has an associated Ehrhart polynomial that encodes the relationship between the volume of a polytope and the number of integer
Ehrhart_polynomial
uniform 4-polytopes with pentachoric symmetry can be generated as permutations of simple integers in 5-space, all in hyperplanes with normal vector (1
A4_polytope
Natural number between 89 and 91
UC55) contain 90 edges or vertices. The self-dual Witting polytope contains ninety van Oss polytopes such that sections by the common plane of two non-orthogonal
90_(number)
Greek-French composer, architect and engineer (1922–2001)
Xenakis's UPIC system; and the massive multimedia performances Xenakis called polytopes, that were a summa of his interests and skills. Among the numerous theoretical
Iannis_Xenakis
Straight figure with zero width and depth
direction vector. The normal form (also called the Hesse normal form, after the German mathematician Ludwig Otto Hesse), is based on the normal segment for a
Line_(geometry)
Generalization of a rectangle for higher dimensions
database theory or ranges of integers, rather than real numbers. The dual polytope of an n-orthotope has been variously called a rectangular n-orthoplex,
Hyperrectangle
Algebraic variety containing an algebraic torus
space. Let P {\displaystyle P} be a polytope. For any vertex v {\displaystyle v} of P {\displaystyle P} , the normal cone of P {\displaystyle P} at vertex
Toric_variety
N-dimensional generalisation of a pyramid
the polytope and the distance of the apex from the hyperplane is called height. This construct is called a n-dimensional hyperpyramid. A normal triangle
Hyperpyramid
Type of probability distribution
In probability and statistics, the truncated normal distribution is the probability distribution derived from that of a normally distributed random variable
Truncated_normal_distribution
Subspace of n-space whose dimension is (n-1)
and the group of all motions is generated by the reflections. A convex polytope is the intersection of half-spaces. In non-Euclidean geometry, the ambient
Hyperplane
Solid with twenty equal triangular faces
background in the comparison mensuration. It is analogous to a four-dimensional polytope, the 600-cell. Regular icosahedra occur both in natural and human-made
Regular_icosahedron
Multiset analogue of matroids
In mathematics, a polymatroid is a polytope associated with a submodular function. The notion was introduced by Jack Edmonds in 1970. It is also a generalization
Polymatroid
Natural number
The triangular prism is the root polytope in the k21 family of polytopes, which is the simplest semiregular polytope, with k31 rooted in the analogous
72_(number)
Geometric model of the planar projection of the physical universe
{\displaystyle \mathbb {R} ^{3}} . In two dimensions, there are infinitely many polytopes: the polygons. The first few regular ones are shown below: The Schläfli
Euclidean_plane
Standard representation of a mathematical object
In mathematics and computer science, a canonical, normal, or standard form of a mathematical object is a standard way of presenting that object as a mathematical
Canonical_form
Fundamental theorem in probability theory and statistics
than 2. The polytope Kn is called a Gaussian random polytope. A similar result holds for the number of vertices (of the Gaussian polytope), the number
Central_limit_theorem
Group that admits a formal description in terms of reflections
semiregular polytopes. The affine Coxeter groups form a second important series of Coxeter groups. These are not finite themselves, but each contains a normal abelian
Coxeter_group
Constant used in a magic square
constant of an n-pointed normal magic star is M = 4 n + 2 {\displaystyle M=4n+2} . In 2013 Dirk Kinnaes found the magic series polytope. The number of unique
Magic_constant
Software for the algorithmic treatment of convex polyhedra
complexes), planar drawings of 3-polytopes, polyhedral fans, and subdivisions of points or vectors. Fulton: computations with normal toric varieties. It is named
Polymake
Closed volume that completely contains the union of a set of objects
the union of a finite set of points, its convex hull is a polytope. A discrete oriented polytope (DOP) generalizes the bounding box. A k-DOP is the Boolean
Bounding_volume
Math concept
polyhedron is a cone from the origin. Examples of fans include: The normal fan of a polytope. The fan associated to a toric variety (see Toric variety § Fundamental
Polyhedral_complex
Overview of and topical guide to geometry
triangulation Quasicrystal Parallelogram law Polytope Schläfli symbol Regular polytope Regular Polytopes Sphere Quadric Hypersphere, sphere Spheroid Ellipsoid
Outline_of_geometry
Group of symmetries of the square
symmetries of higher dimensional cubes, octahedra, hypercubes, and cross polytopes. D4 has three subgroups of order four, one consisting of its two non-involutory
Dihedral_group_of_order_8
Natural number
Wiley & Sons. ISBN 978-0-471-50458-0. H. S. M. Coxeter (1973). Regular Polytopes (3rd ed.). New York: Dover Publications, Inc. pp. 1–368. ISBN 978-0-486-61480-9
5
Geometric model of the physical space
open subset of 3-D space. In three dimensions, there are nine regular polytopes: the five convex Platonic solids and the four nonconvex Kepler–Poinsot
Three-dimensional_space
Algorithm that outputs all solutions to a problem
where we are given a polytope described as a system of linear inequalities and we must enumerate the vertices of the polytope. Enumerating the minimal
Enumeration_algorithm
Relation between sides of a right triangle
because they share the base BD and have the same altitude BK, i.e., a line normal to their common base, connecting the parallel lines BD and AL. (lemma 2)
Pythagorean_theorem
On lattices and sphere packing in Euclidean space
der euklidischen Räume in kongruente Polytope [On the decomposition of Euclidean spaces into congruent polytopes] (PDF). Sitzungsberichte der Preussischen
Hilbert's_eighteenth_problem
Property of a mathematical space
Volume 4 dimensions Spacetime Fourth spatial dimension Convex regular 4-polytope Quaternion 4-manifold Polychoron Rotations in 4-dimensional Euclidean space
Dimension
Study of geometric properties of sets through measure theory
measures. Each is the Gaussian curvature measure of a polytope, and the sequence of polytopes converge to K {\displaystyle K} . If μ K {\displaystyle
Geometric_measure_theory
On bipartite matching and vertex cover
matching polytope of a bipartite graph, all extreme points have only integer coordinates, and the same is true for the fractional vertex-cover polytope. Therefore
Kőnig's theorem (graph theory)
Kőnig's_theorem_(graph_theory)
Topological space that locally resembles Euclidean space
manifold is its Euler characteristic. Leonhard Euler showed that for a convex polytope in the three-dimensional Euclidean space with V vertices (or corners),
Manifold
Matrix with exactly one 1 per row and column
stochastic matrices is called the Birkhoff polytope, and the permutation matrices play a special role in that polytope. The Birkhoff–von Neumann theorem says
Permutation_matrix
=|\alpha -\beta |} is the thickness of the slab. Bounding slab Convex polytope Half-plane Hyperplane Prismatoid Slab decomposition Spherical shell Preparata
Slab_(geometry)
Relationship between two lines that meet at a right angle
geometric orthogonality conditions, such as that between a surface and its normal vector. A line is said to be perpendicular to another line if the two lines
Perpendicular
Natural number
wolfram.com. Retrieved 25 June 2022. Coxeter, H.S.M. (1973) [1948]. Regular Polytopes (3rd ed.). New York: Dover. pp. 18–19. Lounesto, Pertti (3 May 2001).
8
Triangular array of the binomial coefficients
(1973-01-01). "Chapter VII: ordinary polytopes in higher space, 7.2: Pyramids, dipyramids and prisms". Regular Polytopes (3rd ed.). Courier Corporation. pp
Pascal's_triangle
Natural number
wolfram.com. Retrieved 2022-07-02. Coxeter, H.S.M. (1991), Regular Complex Polytopes, Cambridge University Press, p. 140, ISBN 0-521-39490-2 Sharp, Damian
22_(number)
Special type of lattice
partitions is a distributive lattice. The points of a distributive polytope (a convex polytope closed under coordinatewise minimum and coordinatewise maximum
Distributive_lattice
German mathematician
his work in discrete geometry, in particular on realization spaces of polytopes citing "his wide-ranging and deep contributions to discrete geometry using
Karim_Adiprasito
Fundamental space of geometry
both synthetic and algebraic methods, and discovered all of the regular polytopes (higher-dimensional analogues of the Platonic solids) that exist in Euclidean
Euclidean_space
Four-dimensional number system
geometry Quaternionic matrix – Concept in linear algebra Quaternionic polytope – Concept in geometry Quaternionic projective space – Concept in mathematics
Quaternion
restrictions on f-vectors of convex simplicial polytopes, to this more general setting. The face lattice of a convex polytope, consisting of its faces, together with
Eulerian_poset
is the rational normal curve. Moment curves have been used for several applications in discrete geometry including cyclic polytopes, the no-three-in-line
Moment_curve
Matrix with one nonzero entry in each row and column
. It is the symmetry group of the hypercube and (dually) of the cross-polytope. Its index 2 subgroup of matrices with determinant equal to their underlying
Generalized permutation matrix
Generalized_permutation_matrix
248-dimensional exceptional simple Lie group
are the vertices of a semi-regular polytope discovered by Thorold Gosset in 1900, sometimes known as the 421 polytope. In the so-called even coordinate
E8_(mathematics)
doi:10.1088/1475-7516/2007/01/004. S2CID 17403084. "Infinity Scrapers". www.polytope.net. Retrieved 2025-12-07. "Forcal - Aarex's Large Numbers". sites.google
Orders_of_magnitude_(numbers)
Generalization of the Rubik's Cube in n-dimensions
higher-dimension figures meet. n-Polytope. A n-dimensional figure continuing as above. A specific geometric shape may replace polytope where this is appropriate
N-dimensional sequential move puzzle
N-dimensional_sequential_move_puzzle
In mathematics, dimension of a ring
}I^{k}/I^{k+1}} be the associated graded ring (geometers call it the ring of the normal cone of I). Then dim gr I ( R ) {\displaystyle \operatorname {dim} \operatorname
Krull_dimension
Mathematical set closed under positive linear combinations
Theorem for polytopes which shows that every polytope is a polyhedron and every bounded polyhedron is a polytope. The two representations of a polyhedral
Convex_cone
All numbers between two given numbers
of half-spaces (of arbitrary orientation) is (the interior of) a convex polytope, or in the 2-dimensional case a convex polygon. An open interval is a connected
Interval_(mathematics)
Invariant of topological spaces
{\displaystyle \operatorname {Ind} X=0.} Urysohn's theorem states that when X is a normal space with a countable base, then dim X = Ind X = ind X . {\displaystyle
Inductive_dimension
parallelohedron? Does every higher-dimensional tiling by translations of convex polytope tiles have an affine transformation taking it to a Voronoi diagram? Ropelength
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Type of non-Euclidean geometry
curve called a hypercycle. Another special curve is the horocycle, whose normal radii (perpendicular lines) are all limiting parallel to each other (all
Hyperbolic_geometry
Finitelt generated commutative monoid
2.12) Monoid Convex cone Convex polytope Lattice (group) K-theory Bruns, Winfried; Gubeladze, Joseph (2009). Polytopes, Rings, and K-Theory. Monographs
Affine_monoid
Convex shape with one stable and one unstable position of equilibrium
the Linn's Stamp News magazine. Flatness measures Instability Monostatic polytope Self-righting watercraft Weisstein, Eric W. "Gömböc". MathWorld. Retrieved
Gömböc
Nonabelian group in algebraic group theory
hull of these 24 elements in 4-dimensional space form a convex regular 4-polytope called the 24-cell. The binary tetrahedral group, denoted by 2T, fits into
Binary_tetrahedral_group
Surface in 3D space defined by an implicit function of three variables
y_{0},z_{0})(y-y_{0})+F_{z}(x_{0},y_{0},z_{0})(z-z_{0})=0,} and a normal vector is n ( x 0 , y 0 , z 0 ) = ( F x ( x 0 , y 0 , z 0 ) , F y ( x 0
Implicit_surface
Algebro-geometric stability condition
S2CID 11990163. Paul, Sean Timothy (2012). "Hyperdiscriminant polytopes, Chow polytopes, and Mabuchi energy asymptotics". Annals of Mathematics. 175 (1):
K-stability
Study of geometry using a coordinate system
surface normal, or simply normal, to a surface at a point P is a vector that is perpendicular to the tangent plane to that surface at P. The word "normal" is
Analytic_geometry
Infinitely detailed mathematical structure
could get small enough to be considered to conform to the curve in the normal manner of measuring with a tape measure. But in measuring an infinitely
Fractal
78-dimensional exceptional simple Lie group
maximal subgroups of E6 up to dimension 78 are shown to the right. The E6 polytope is the convex hull of the roots of E6. It therefore exists in 6 dimensions;
E6_(mathematics)
Mathematical algorithm for calculating area of a simple polygon
formulation can also be generalized to calculate the volume of an n-dimensional polytope from the coordinates of its vertices, or more accurately, from its hypersurface
Shoelace_formula
Smallest convex set containing a given set
Krein–Milman theorem) every convex polytope is the convex hull of its vertices. It is the unique convex polytope whose vertices belong to S {\displaystyle
Convex_hull
Generalized sphere of dimension n (mathematics)
^{n+1}:\left\|x\right\|_{1}=1\right\}} In general, it takes the shape of a cross-polytope. The octahedral 1 {\displaystyle 1} -sphere is a square (without its
N-sphere
torus, with orbit space an n {\displaystyle n} -dimensional simple convex polytope. Quasitoric manifolds were introduced in 1991 by M. Davis and T. Januszkiewicz
Quasitoric_manifold
Mathematical model combining space and time
time differences between events. Calling one set of transformations the normal Lorentz transformations and the other the inverse transformations is misleading
Spacetime
Method of determining minimum distance between two convex sets
looking for the next simplex. This improves performance substantially for polytopes with large numbers of vertices. GJK makes use of Johnson's distance sub
Gilbert–Johnson–Keerthi distance algorithm
Gilbert–Johnson–Keerthi_distance_algorithm
Approximation method in statistics
estimates. Nelder–Mead (simplex) search. A simplex in this context is a polytope of n + 1 vertices in n dimensions; a triangle on a plane, a tetrahedron
Non-linear_least_squares
Group of symmetries of an n-dimensional hypercube
well as the corresponding dual polytopes (the regular octahedron and its higher-dimensional counterparts, the cross-polytopes). There is one hyperoctahedral
Hyperoctahedral_group
recharacterisation of K-stability in terms of convex functions on the moment polytope of the toric variety, as was observed by Donaldson in his first paper on
K-stability_of_Fano_varieties
Concept in geometry
{1}{2}}\oint _{\partial D}\mathbf {r} \cdot \mathbf {n} \,ds} where n is the unit normal and ds is the arc length measure. For a circle of radius R centered at the
Area_of_a_circle
bounding volume used for fast intersection tests; a discrete oriented polytope (DOP). These generalise bounding boxes with extents additional discrete
Glossary_of_computer_graphics
Inductive dimension Lebesgue covering dimension Lebesgue's number lemma Polytope Simplex Simplicial complex CW complex Manifold Triangulation Barycentric
List of general topology topics
List_of_general_topology_topics
Visual depiction of a partially ordered set
3-dimensional cubes, and that a tetrahedron (abstract 3-polytope) likewise merges two triangles (abstract 2-polytopes). The third diagram shows some of the internal
Hasse_diagram
Generalization of perpendicularity
168. ISBN 978-0-387-98766-8. Coxeter, H.S.M. (1973) [1948]. Regular Polytopes (3rd ed.). New York: Dover. p. 124. P.H.Schoute: Mehrdimensionale Geometrie
Orthogonality_(mathematics)
Bézier surface created by control point interpolation
computer screen, by adding extra terms, a Bézier tetrahedron or Bézier polytope results. Due to the nature of the equation, the entire triangle will be
Bézier_triangle
Polyhedron that tiles space by translation
mathematics Does every higher-dimensional tiling by translations of convex polytope tiles have an affine transformation taking it to a Voronoi diagram? More
Parallelohedron
Type of plane partition
points and all of them are different, then the Voronoi cells are convex polytopes and they can be represented in a combinatorial way using their vertices
Voronoi_diagram
examples of exceptional objects arise in the classification of regular polytopes: in two dimensions, there is a series of regular n-gons for n ≥ 3. In
Exceptional_object
Hexahedron with parallelogram faces
Greek–English Lexicon at the Perseus Project. Coxeter, H. S. M. Regular Polytopes, 3rd ed. New York: Dover, p. 122, 1973. (He defines parallelotope as a
Parallelepiped
Topologically invariant definition of the dimension of a space
covering dimension is a topological invariant. The covering dimension of a normal space X is ≤ n {\displaystyle \leq n} if and only if for any closed subset
Lebesgue_covering_dimension
Natural number
number. the sum of the number of cells that make up the convex, regular 4-polytopes 774 = 2 × 32 × 43. It is a nontotient, a Harshad number, and the totient
700_(number)
matrices List of numbers List of polygons, polyhedra and polytopes List of regular polytopes List of simple Lie groups List of small groups List of special
Lists_of_mathematics_topics
Thing in mathematics and theoretical physics
quadratic form Q. Two vectors x, y ∈ Rs,t are orthogonal if x ⋅ y = 0. A normal vector at a point of a quasi-sphere is a nonzero vector that is orthogonal
Quasi-sphere
Covering by shapes without overlaps or gaps
pioneered this by defining polyschemes, which mathematicians nowadays call polytopes. These are the analogues to polygons and polyhedra in spaces with more
Tessellation
Statistical method
square rotated so that its corners lie on the axes (in general a cross-polytope), while the region defined by the ℓ 2 {\displaystyle \ell ^{2}} norm is
Lasso_(statistics)
Periodic set of points
S} . For a polytope whose vertices are elements of the lattice, the number of lattice points it contains is described by the polytope's Ehrhart polynomial
Lattice_(group)
Type of geometric transformation
any higher order interior capacity of a polytope is invariant under the shear transformation of the polytope's vertices. For a vector space V and subspace
Shear_mapping
Finite simple group type not classified as Lie, cyclic or alternating
OCLC 38910263. Zbl 0908.20007. Hartley, Michael I.; Hulpke, Alexander (2010), "Polytopes Derived from Sporadic Simple Groups", Contributions to Discrete Mathematics
Sporadic_group
NORMAL POLYTOPE
NORMAL POLYTOPE
Female
English
English name derived from the gem name, from Latin corallium, probably ultimately from Hebrew goral, CORAL means "small pebble."
Boy/Male
French Teutonic American English German
From the north.
Girl/Female
Indian
Soft
Boy/Male
Shakespearean
Hamlet, Prince of Denmark' Fortinbras, Prince of Norway.
Boy/Male
Assamese, Bengali, Celebrity, Gujarati, Hindu, Indian, Jain, Kannada, Malayalam, Marathi, Punjabi, Sikh, Sindhi, Tamil, Telugu, Traditional
Kindness; Clean; Pure; Talent Person; The One who is Pure
Male
English
English form of Norwegian Normund, NORMAND means "north protection."
Boy/Male
Biblical
Treasurer of Nergal.
Girl/Female
Indian, Punjabi, Sikh, Telugu
Pure; Without Any Impurity
Boy/Male
Scottish American
From the north valley.
Biblical
treasurer of Nergal
Boy/Male
Hindu
Clean, Pure
Boy/Male
American, Australian, French, Scottish
From the Northern Town
Girl/Female
Latin American
Rule; pattern. Can also be a feminine form of Norman: from the North.
Female
Italian
 Italian name invented by Felice Romani in his libretto for Belini's opera of the same name, derived from Latin norma, NORMA means "standard, rule." Compare with another form of Norma.
Boy/Male
Afghan, Arabic
Handsome
Female
English
 Feminine form of English Norman, NORMA means "northman." Compare with another form of Norma.
Male
Scottish
Scottish form of Irish Gaelic Cormac, CORMAG means "son of defilement."
Girl/Female
American, Australian, British, Chinese, Christian, Danish, English, Finnish, French, German, Latin, Swedish
From the North; Pattern; Courage; Norseman; Rule; Standard; Female Version of Norman
Male
English
English form of Teutonic Nordemann, NORMAN means "northman."
Surname or Lastname
English, Irish (Ulster), Scottish, and Dutch
English, Irish (Ulster), Scottish, and Dutch : name applied either to a Scandinavian or to someone from Normandy in northern France. The Scandinavian adventurers of the Dark Ages called themselves norðmenn ‘men from the North’. Before 1066, Scandinavian settlers in England were already fairly readily absorbed, and Northman and Normann came to be used as bynames and later as personal names, even among the Saxon inhabitants. The term gained a new use from 1066 onwards, when England was settled by invaders from Normandy, who were likewise of Scandinavian origin but by now largely integrated with the native population and speaking a Romance language, retaining only their original Germanic name.French : regional name for someone from Normandy.Dutch : ethnic name for a Norwegian.Jewish (Ashkenazic) : variant of Nordman.Jewish : Americanized form of some like-sounding Ashkenazic name.Swedish : from norr ‘north’ + man ‘man’.Albert Andriessen Bradt, a settler in Rensselaerswijck on the upper Hudson River in NY, was originally from Norway and was known as de Norrman (‘the Norwegian’). The waterway south of Albany which powered his mills became known as the Normanskill (‘the Norman’s Waterway’), by which name it is still known today.
NORMAL POLYTOPE
NORMAL POLYTOPE
Boy/Male
African, Arabic, Swahili
Good
Girl/Female
Hindu, Indian, Malayalam, Marathi, Sanskrit, Sikh, Tamil
Aim; Destination; Who has a Specific Goal Everywhere; Target
Girl/Female
Arabic, Muslim
Respect; Dignity or Something Declared; Sacred by Religion
Boy/Male
Indian
Light bringer, Exalted high
Boy/Male
English
From the meadow.
Boy/Male
British, English
Pure
Boy/Male
Arthurian Legend
Name of a king.
Girl/Female
Arabic, Muslim, Sindhi
Women Companion of the Prophet (SAW)
Girl/Female
German, Scandinavian, Spanish
Peaceful Ruler; Ruler Forever; Rich
Boy/Male
Hindu, Indian
Close Friend
NORMAL POLYTOPE
NORMAL POLYTOPE
NORMAL POLYTOPE
NORMAL POLYTOPE
NORMAL POLYTOPE
n.
See Mormal.
n.
See Wormil.
a.
Denoting certain hypothetical compounds, as acids from which the real acids are obtained by dehydration; thus, normal sulphuric acid and normal nitric acid are respectively S(OH)6, and N(OH)5.
a.
Alt. of Loral
adv.
In a normal manner.
a.
Sound; normal.
n.
See Wormil.
a.
Done in due form, or with solemnity; according to regular method; not incidental, sudden or irregular; express; as, he gave his formal consent.
a.
Human; belonging to man, who is mortal; as, mortal wit or knowledge; mortal power.
n.
The quality, state, or fact of being normal; as, the point of normalcy.
a.
Northern; pertaining to the north, or to the north wind; as, a boreal bird; a boreal blast.
a.
Not according to rule; abnormal.
a.
Denoting that series of hydrocarbons in which no carbon atom is united with more than two other carbon atoms; as, normal pentane, hexane, etc. Cf. Iso-.
a.
Of or pertaining to Normandy or to the Normans; as, the Norman language; the Norman conquest.
a.
Serving to teach or convey a moral; as, a moral lesson; moral tales.
a.
Pertaining to, or situated near, the back, or dorsum, of an animal or of one of its parts; notal; tergal; neural; as, the dorsal fin of a fish; the dorsal artery of the tongue; -- opposed to ventral.
a.
Having the form or appearance without the substance or essence; external; as, formal duty; formal worship; formal courtesy, etc.
a.
According to a square or rule; perpendicular; forming a right angle. Specifically: Of or pertaining to a normal.
a.
According to an established norm, rule, or principle; conformed to a type, standard, or regular form; performing the proper functions; not abnormal; regular; natural; analogical.
a.
Both renal and portal. See Portal.