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- Strobogrammatic_number abstract "A strobogrammatic number is a number that, given a base and given a set of glyphs, appears the same whether viewed normally or upside down. In base 10, a legible set of glyphs can be developed where 0, 1 and 8 are symmetrical around the horizontal axis, and 6 and 9 are the same as each other when rotated 180 degrees (such as the digit characters in ASCII using the font Stylus BT). In such a system, the first few strobogrammatic numbers are:0, 1, 8, 11, 69, 88, 96, 101, 111, 181, 609, 619, 689, 808, 818, 888, 906, 916, 986, 1001 (sequence A000787 in OEIS)The strobogrammatic properties of a given number vary by typeface. For instance, in an ornate serif typeface, the numbers 2 and 7 may be rotations of each other; however, in a seven-segment display emulator, this correspondence is lost, but 2 and 5 are both symmetrical.Using only 0, 1, 6, 8 and 9, 1881 and 1961 were the most recent strobogrammatic years; the next strobogrammatic year will be 6009.Although amateur aficionados of mathematics are quite interested in this concept, professional mathematicians generally are not. Like the concept of repunits and palindromic numbers, the concept of strobogrammatic numbers is base-dependent (expanding to base-sixteen, for example, produces the additional symmetries of 3/E; some variants of dozenal systems also have this and a symmetrical x). Unlike palindromicity it is also font dependent. But the concept of strobogrammatic numbers is not neatly expressible algebraically, the way that the concept of repunits is, or even the concept of palindromic numbers.There are sets of glyphs for writing numbers in base 10, such as the Devanagari and Gurmukhi of India in which the numbers listed above are not strobogrammatic at all.In binary, given a glyph for 1 consisting of a single line without hooks or serifs, all palindromic numbers are strobogrammatic, which means (among other things) that all Mersenne numbers are strobogrammatic.".
- Strobogrammatic_number wikiPageExternalLink page.php?sort=Strobogrammatic.
- Strobogrammatic_number wikiPageID "2906596".
- Strobogrammatic_number wikiPageRevisionID "557579068".
- Strobogrammatic_number hasPhotoCollection Strobogrammatic_number.
- Strobogrammatic_number subject Category:Base-dependent_integer_sequences.
- Strobogrammatic_number type Abstraction100002137.
- Strobogrammatic_number type Arrangement107938773.
- Strobogrammatic_number type Base-dependentIntegerSequences.
- Strobogrammatic_number type Group100031264.
- Strobogrammatic_number type Ordering108456993.
- Strobogrammatic_number type Sequence108459252.
- Strobogrammatic_number type Series108457976.
- Strobogrammatic_number comment "A strobogrammatic number is a number that, given a base and given a set of glyphs, appears the same whether viewed normally or upside down. In base 10, a legible set of glyphs can be developed where 0, 1 and 8 are symmetrical around the horizontal axis, and 6 and 9 are the same as each other when rotated 180 degrees (such as the digit characters in ASCII using the font Stylus BT).".
- Strobogrammatic_number label "Strobogrammatic number".
- Strobogrammatic_number sameAs m.08bqwy.
- Strobogrammatic_number sameAs Q7624215.
- Strobogrammatic_number sameAs Q7624215.
- Strobogrammatic_number sameAs Strobogrammatic_number.
- Strobogrammatic_number wasDerivedFrom Strobogrammatic_number?oldid=557579068.
- Strobogrammatic_number isPrimaryTopicOf Strobogrammatic_number.