User:Michal Paulovic

• Amateur mathematician and professional electrician skilled in cybernetics, usually programming and repairing computers for a living

• Interested in fixed points, near-integers and equable shapes, authored 20 (plus 2 recycled) out of 63 OEIS entries since 2014

• Most contributions are based on information taken from my database of constants of interest 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

• 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

• A feline is a cat with the property of golden cut.

• A square immersed in liquid is buoyed over the hypotenuse of right triangle.

• 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).

Exercises sans answers

• Conical pint glass paradox: What is longer, the circumference of the upper edge 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.)

Some readings for long winter evenings

• The format and style of OEIS entries have their rules. Learn them before you submit anything.

• Do not submit other than integer sequences or non-scientific arbitrary random stuff.

• It may take time before your sequance is approved. Patience is a virtue.

• Be curteous, whether you are a contributor, an Associate Editor or an Editor-in-Chief.

• Some Qanda and FAQ for newbies including the info on the 3 drafts limit. If you know how to bypass it, DO NOT DO THAT!!!

• DO NOT EDIT OR COMMENT DRAFTS THAT ARE NOT YOURS!!! Only Editors-in-Chief are allowed to do that!

• List of Associate and in-Chief Editors. It might come handy to know who is who.