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# 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, aliquot sequences and equable shapes, having contributed to 34 OEIS entries since 2014

# Interesting numbers

• 216 : the surface area and the volume of an equable cube with the side length of 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 of 12 and the height of 8

# 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 = 7 * 8 * 9 = 12 * 42 = 21 * 24 = 153 + 351 = 14 + ... + 34, also DIV in Roman numerals (Slovak for a WONDER)
• 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