User:Michal Paulovic

• AIRMOR^UT / SPAI^UT : Active Independent Recreational Mathematics Occasional Researcher / Self-Proclaimed Amateur Inventor *

• Chemical engineer, electrician and an amateur geometrician (I do have a degree in mathematics, but I do not do math for money)

• An avid computer programmer, creating database systems and designing worlds and levels for computer games most of the time

• Interested in equable shapes, fixed points and near-integers, authored 29 (plus 3 recycled) out of 74 OEIS entries since 2014

• Almost all contributions are based on the data from my "Constants of Interest" database created and maintained since 2000/2001

Interesting numbers

• 16 : the perimeter and the area of an equable square with the side length 4, also 4² = 2⁴

• 18 : the perimeter and the area of an equable rectangle with the side lengths 3 and 6

• 24 : the perimeter and the area of an equable right triangle with the side lengths 6, 8 and 10

• 30 : the perimeter and the area of an equable right triangle with the side lengths 5, 12 and 13, also 1² + 2² + 3² + 4² = 5² + 5

• 36 : the perimeter and the area of an equable triangle with the side lengths 9, 10 and 17, also 6² = 1³ + 2³ + 3³ = 4³ -28

• 42 : the perimeter and the area of an equable triangle with the side lengths 7, 15 and 20

• 45 : the perimeter and the area of an equable right triangle with the side lengths 4.5, 20 and 20.5, also 47 - 2 = 43 + 2 = 87 - 23 - 19

• 60 : the perimeter and the area of an equable triangle with the side lengths 6, 25 and 29

• 216 : the surface area and the volume of an equable cube with the side length 6, also the value of Φ(666) and 3³ + 4³ + 5³ = 6³

• 364.5 : the surface area and the volume of an equable rectangular cuboid with its base perimeter (4.5 * 4) equal to its height (18)

• 384 : the surface area and the volume of an equable right square pyramid with the base side length 12 and the height 8

• 5000 : (five thousand) the largest heterogrammic numeral in the English language (all letters in "five thousand" are different)

Favorite expressions

• e^{(π * i)} + 1 = 0 : Euler's identity, the relation between e, π, i, 1 and 0 by the means of exponentiation, multiplication and addition

• √5 / 2 + 1/2 = φ : Golden ratio, the ratio of the number of leaves to the number of turns on the stem of a plant with infinite height

• V - E + F = 2 : Euler's polyhedron formula, the relation between vertices, edges and faces of any convex or spherical polyhedron

• 504 = 2⁹ - 2³ = 153 + 351 = 167 + 168 + 169 = 7 * 8 * 9 = 12 * 42 = 21 * 24; DIV in Roman numerals (WONDER in Sklavenreich)

• The magic square from Dürer's Melancolia I, engraved in 1514, with magic constant (one of the square's eigenvalues) equal to 34

16	3	2	13
5	10	11	8
9	6	7	12
4	15	14	1

Nonsense sentences

• * The very first line (that AIRMOR stuff) is a complete inside joke.

• UT - Unregistered Trademark; UTKA (stylized as YTKA) means DUCK in Russian.

• The name of my computer is EULE; computers are like owls -- people think they are wise, but they are utterly stupid.

• I know science: gravity makes you fall, water makes you wet, and electricity makes you shake (especially when you are wet).

• You can call it "memorial park" all you want, it is still a cemetery (unless it has a church on its grounds, then it is a graveyard).

• Memory disorder is funny: sometimes you stumble upon a constant, you check it against the OEIS, and you find it there... along with the information that you are the one who contributed it.

Exercises sans answers

• Conical pint glass paradox: What is longer, the circumference of the brim of the glass or the height of the glass?

• Add together mentally: one thousand plus forty plus one thousand plus thirty plus one thousand plus twenty plus one thousand plus ten. What is the result?

     (It is not the last number listed in the "Interesting numbers" above.)

• A wire forms a circle around Earth's equator, the wire is 40 inches (1 meter) longer than the equatorial circumference of Earth. Can you put a rabbit between the wire and Earth?

• A pipe with inner bore 2 inches is 47 yards (43 meters) long. How many whole gallons (liters) of water will fit into the pipe?

     (The answers are hidden somewhere in the "Interesting numbers" above.)

Some readings for long winter evenings

• The OEIS Contributor's License Agreement Boring, lawyerly, but essential.

• Style Sheet Some rules for the OEIS entries.

• Deleted Sequences What was not for the OEIS.

• Disallowed Sequences Like non-integer sequences.

• Examples of What Not to Submit Like non-scientific arbitrary random stuff.

• Use of AI for OEIS Submissions is Forbidden Use HI (human intelligence) instead.

• Why are My Submissions Taking So Long to be Accepted I do not care about this one.

• Overview of the Contribution Process Patience is a virtue.

• Good Behavior Guide for Contributors and Editors Be courteous all the time.

• Instructions for Associate Editors Them, too.

• Instructions for Editors-in-Chief Them as well.

• Complaints About Editing Not every idea is a brilliant breakthrough.

• Qanda for New OEIS Questions and answers.

• OEIS FAQ Frequently asked questions.

• Why am I Limited to 3 Submissions? It can, but should not, be bypassed.

• Avoid Interfering Edits! This is ignored by some users pretending to be editors.

• List of Editors It might come handy to know who is who (requires login to the OEIS Wiki).

• Note to meself: A constant may have 105 terms + 104 commas + 104 spaces = 313 characters, but any other sequence should have 260 characters.