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A strobogrammatic prime is a strobogrammatic number that is also a prime number, i.e., a number that is only divisible by one and itself (e.g., 11). [3] It is a type of ambigram, words and numbers that retain their meaning when viewed from a different perspective, such as palindromes. [4]
Though not palindromic in the mathematical sense, they read frontward and backward like real ambigrams. A strobogrammatic number is a number whose numeral is rotationally symmetric, so that it appears the same when rotated 180 degrees. The numeral looks the same right-side up and upside down (e.g., 69, 96, 1001).
It is a decimal repdigit [1] and a strobogrammatic number (meaning that it looks the same turned upside down on a calculator display). [2] It is one of the numbers whose digit sum in decimal is the same as it is in binary.
The use of transformation in this fashion is known as an ambigram. Calculator spelling on seven-segment displays, where numbers represent letters upside down (e.g. 07734, , "hello"). Emulating the boustrophedon style of writing, where alternating lines are written in opposite directions.
The top and bottom images produce a dent or projection depending on whether viewed with cross- () or wall- () eyed vergence. Autostereogram of a cube rotating. You will need to learn how to see an autostereogram to see this.
In handwriting, a 2 drawn with a loop at its base can be strobogrammatic to a 6, numbers that are of little use for the purpose of prime numbers; in the character design used on U.S. dollar bills, 5 reflects to a 7 when reflected in a mirror, while 2 resembles a 7 upside down.) Strobogrammatic primes that don
Ambigram: A calligraphic design that has multiple or symmetric interpretations. Ames room illusion An Ames room is a distorted room that is used to create a visual illusion. Ames trapezoid window illusion A window is formed in the shape of a trapezium.
In number theory, a narcissistic number [1] [2] (also known as a pluperfect digital invariant (PPDI), [3] an Armstrong number [4] (after Michael F. Armstrong) [5] or a plus perfect number) [6] in a given number base is a number that is the sum of its own digits each raised to the power of the number of digits.