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Everything about Pyramidal number
Figurate number
A pyramidal number is the number of points in a pyramid with a polygonal base and triangular sides. The term often refers to square pyramidal numbers, which have a square base with four sides, but it can also refer to a pyramid with any number of sides. The numbers of points in the base and in layers parallel to the base are given by polygonal numbers of the given number of sides, while the numbers of points in each triangular side is given by a triangular number. It is possible to extend the pyramidal numbers to higher dimensions. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Pyramidal numberA 5-minute orientation
- Skim a recent paper: Genetic deletion of α7 nAChRs reduces hippocampal granule and pyramidal cell number in both sexes but impairs pattern separation in males onlyInfluential work since 2022
- Pick up a classic book: Ideal metrology in nature, art, religion and historyThe most-reprinted book on the subject
- Read the landmark paper: Total number and distribution of inhibitory and excitatory synapses on hippocampal CA1 pyramidal cellsCited 868 times
- Go sideways: Nonagonal numberA closely related topic
- Go sideways: Centered square numberA closely related topic
📖 Definitions
Noun A number that represents the number of items in a pyramid having a given number of sides and layers
🏆 Landmark papers (most cited)
Total number and distribution of inhibitory and excitatory synapses on hippocampal CA1 pyramidal cells
Prenatal ethanol exposure permanently reduces the number of pyramidal neurons in rat hippocampus
Distance-Dependent Increase in AMPA Receptor Number in the Dendrites of Adult Hippocampal CA1 Pyramidal Neurons
Distance-Dependent Differences in Synapse Number and AMPA Receptor Expression in Hippocampal CA1 Pyramidal Neurons
Chronic psychosocial stress does not affect the number of pyramidal neurons in tree shrew hippocampus
Number and distribution of the apical dendritic spines of the layer V pyramidal cells in man
Pyramidal neuron number in layer 3 of primary auditory cortex of subjects with schizophrenia
Developmental sex differences and effect of ovariectomy on the number of cortical pyramidal cell dendritic spines
🆕 Influential since 2022
Genetic deletion of α7 nAChRs reduces hippocampal granule and pyramidal cell number in both sexes but impairs pattern separation in males only
On power values of pyramidal numbers, II
Characterizing Pyramidal Hadamard Designs With the Largest Number of Fixed Points
Non-Extendability of Special DIO 3-Tuples Involving Nonaganal Pyramidal Number
X-ray Exposure Reduces the Number of Hippocampal Pyramidal Neurons in Offspring Rats
📚 Books worth reading
Ideal metrology in nature, art, religion and historyHerman Gaylord Wood · 1908- 📕Die ägyptischen Pyramiden als zeugen vergangener MystereinweisheitErnst Bindel · 1957
- 📕The magnificent numbers of the Great Pyramid and StonehengeBonnie Gaunt · 1985
- 📕The key to our God given heritageJulian B. Shealy · 1967
- 📕Stonehenge and the Great PyramidBonnie Gaunt · 1993
- 📕El legado de los antiguosEduardo Galleani Viacava · 1967
- 📕Virtual'nai︠a︡ piramida StounkhendzhaA. V. Zinov'ev · 2001
- 📕Taqrīr fī iṣlāḥ al-maḥākim al-sharʻīyahMuḥammad ʻAbduh · 1900
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Nonagonal number A nonagonal number, or an enneagonal number, is a figurate number that extends the concept of triangular and square numbers to the nonagon (a nine-sided…
- Centered square number In elementary number theory, a centered square number is a centered figurate number that gives the number of dots in a square with a dot in the center…
- Octahedral number In number theory, an octahedral number is a figurate number that represents the number of spheres in an octahedron formed from close-packed spheres. The…
- Tetrahedral number A tetrahedral number, or triangular pyramidal number, is a figurate number that represents a pyramid with a triangular base and three sides, called a tetrahedro…
- Pentagonal number A pentagonal number is a figurate number that extends the concept of triangular and square numbers to the pentagon, but, unlike the first two, the construction…
- Polygonal number In mathematics, a polygonal number is a number that counts dots arranged in the shape of a regular polygon. These are one type of 2-dimensional figurate…
- Star number In mathematics, a star number is a centered figurate number, a centered hexagram (six-pointed star), such as the Star of David, or the board Chinese checkers…
- Square number In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with…