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Magic square with extra constraints
A pandiagonal magic square or panmagic square (also diabolic square, diabolical square or diabolical magic square) is a magic square with the additional
Pandiagonal_magic_square
Square of numbers with equal row, column and diagonal totals
even squares. Beside this, depending on further properties, magic squares are also classified as associative magic squares, pandiagonal magic squares, most-perfect
Magic_square
Magic cube with extra constraints
generalize pandiagonal magic squares to three dimensions. In a pandiagonal magic cube, all 3m planar arrays must be panmagic squares. The 6 oblique squares are
Pandiagonal_magic_cube
Methods of constructing magic squares
145. Each subsquare is pandiagonal with magic constant 290; while the whole square on the left is also pandiagonal with magic constant 870. In another
Constructions of magic squares
Constructions_of_magic_squares
Data
essentially different most-perfect magic squares. Kathleen Ollerenshaw, David S. Brée: Most-perfect Pandiagonal Magic Squares: Their Construction and Enumeration
Most-perfect_magic_square
Indian mathematician-astronomer-astrologer (505–587)
Bharati. 14 (1–4): 45–49. Hayashi, Takao (1987). "Varahamihira's pandiagonal magic square of the order four". Historia Mathematica. 14 (2): 159–166. A.M
Varāhamihira
Mathematical concept of arrangement of numbers in a square
associative magic squares of odd order can be singular or nonsingular. Frierson, L. S. (1917), "Notes on pandiagonal and associated magic squares", in Andrews
Associative_magic_square
Magic cube with extra constraints
classes of magic cube; simple magic cubes, pantriagonal magic cubes, diagonal magic cubes, pantriagonal diagonal magic cubes, pandiagonal magic cubes, and
Perfect_magic_cube
columns, and diagonals is called a pandiagonal magic square. Examples of broken diagonals from the number square in the image are as follows: 3,12,14
Broken_diagonal
of magic cubes may contain some simple magic squares and/or pandiagonal magic squares, but not enough to satisfy any other classifications. The magic constant
Pantriagonal_magic_cube
Categories of number cubes
magic cube. Minimum correct summations required = 7m2 + 6m Pandiagonal: All 3m planar arrays must be pandiagonal magic squares. The 6 oblique squares
Magic_cube_classes
Generalization of a magic square
magic square we commonly call pandiagonal and often call perfect. He then demonstrated the concept with an order-7 cube we now class as pandiagonal,
Magic_hypercube
Mathematical concept
cube has gradually come into use. It is based on the fact that a pandiagonal magic square has traditionally been called "perfect", because all possible lines
Magic_cube
English mathematician
pandiagonal magic squares", in: Mathematics Today, 1998, vol. 34, pp. 139–143. ISSN 1361-2042. D. S. Brée and K. M. Ollerenshaw, "Pandiagonal magic-squares
Kathleen_Ollerenshaw
Magic cube with extra constraints
+ 6 simple magic squares. The new definition perfect magic cube has a total of 13m2 correct lines and 9m pandiagonal magic squares. Magic cube classes
Diagonal_magic_cube
Device used in astrology in Tamil Nadu
can easily verify that the magic square represented by the Sri Rama Chakra is a strongly magic square. Pandiagonal magic square Luo Shu Vijaya Samvatsara
Sriramachakra
Topics referred to by the same term
magic cube or Magic Cube may also refer to: Rubik's Cube Tianjin Joyful Sea Magic Cube Magic cube classes Diagonal magic cube Pandiagonal magic cube Pantriagonal
Magic_cube_(disambiguation)
Temple in Khajuraho, India
the smaller 2×2 squares at the four corners, as well as those in the central 2×2 square, is also 34. The magic square is pandiagonal, aka diabolic: the
Parshvanatha temple, Khajuraho
Parshvanatha_temple,_Khajuraho
Set of matrices
S2CID 242158547. Ollerenshaw, Kathleen; Brée, D (1998). Most-perfect pandiagonal magic squares. IMA. Higham, Nicholas J; Lettington, Matthew (2022). "Optimizing
Bohemian_matrices
Indian mathematician and physicist
Madhava Rao personally. Two of his order-8 magic squares — an associative square and a Nasik (pandiagonal) square — were published posthumously in 2016 by
B._S._Madhava_Rao
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PANDIAGONAL MAGIC-SQUARE
PANDIAGONAL MAGIC-SQUARE
Girl/Female
Arabic, Muslim, Pashtun
Dawn; Sunrise; Witchcraft; Magic
Girl/Female
Muslim
Magic, Flower
Female
Arthurian
, a magic maiden ("sorceress").
Girl/Female
Indian, Tamil
Dancer with the Magic Bowl
Boy/Male
Arabic, Australian, Muslim
Glorious
Boy/Male
Hindu, Indian, Sanskrit
Net of Indra; Magic
Girl/Female
Muslim/Islamic
Magic flower
Boy/Male
Arabic, Australian, French
Nobility of Faith; Magic
Girl/Female
Tamil
Magic
Girl/Female
Hindu
Magic
Girl/Female
Indian
Magic, Flower
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Oriya, Sindhi, Tamil, Telugu
Miracle; Magic; Divine
Girl/Female
Indian, Modern, Tamil
Spirituality; Magic and Mysticism
Boy/Male
Indian, Modern
Magic
Boy/Male
Hindu, Indian, Sanskrit
Net of Indra; Magic
Boy/Male
Arabic
Servant of the glorious one.
Girl/Female
Norse
Odin's magic ring.
Boy/Male
Norse
A mythical magic boar.
Girl/Female
Indian, Tamil
A Kind of Flowering Tree
Girl/Female
Arabic, Muslim
A Rose; Magic; Flower
PANDIAGONAL MAGIC-SQUARE
PANDIAGONAL MAGIC-SQUARE
PANDIAGONAL MAGIC-SQUARE
PANDIAGONAL MAGIC-SQUARE
PANDIAGONAL MAGIC-SQUARE
PANDIAGONAL MAGIC-SQUARE
PANDIAGONAL MAGIC-SQUARE
n.
The act or art of performing something wonderful; magic; legerdemain.
n.
Witchcraft; magic; a spell.
adv.
In a magical manner; by magic, or as if by magic.
n.
The black art; magic.
a.
Pertaining to, or obtained from, apples; as, malic acid.
n.
Magic in which the aid of demons is invoked; black or infernal magic.
n.
Necromancy; magic.
n.
A kind of magic lantern.
n.
Power or effect of magic; that which is wrought by magic; enchantment.
a.
A comprehensive name for all of the pretended arts which claim to produce effects by the assistance of supernatural beings, or departed spirits, or by a mastery of secret forces in nature attained by a study of occult science, including enchantment, conjuration, witchcraft, sorcery, necromancy, incantation, etc.
a.
Alt. of Magical
n.
Impishness; magic.
n.
The practice of magic; enchantment.
n. pl.
A caste of priests, philosophers, and magicians, among the ancient Persians; hence, any holy men or sages of the East.
n.
In later or modern magic, that species of magic in which effects are claimed to be produced by supernatural agency, in distinction from natural magic.
n.
A divine work; a miracle; hence, magic; sorcery.
n.
The character or practices o/ wizards; sorcery; magic.
n.
A salt of malic acid.
n.
Impotence caused by magic or charms.
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