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- Regular_paperfolding_sequence abstract "In mathematics the regular paperfolding sequence, also known as the dragon curve sequence, is an infinite automatic sequence of 0s and 1s defined as the limit of the following process:11 1 01 1 0 1 1 0 01 1 0 1 1 0 0 1 1 1 0 0 1 0 0At each stage an alternating sequence of 1s and 0s is inserted between the terms of the previous sequence. The sequence takes its name from the fact that it represents the sequence of left and right folds along a strip of paper that is folded repeatedly in half in the same direction. If each fold is then opened out to create right angled corner, the resulting shape approaches the dragon curve fractal. For instance the following curve is given by folding a strip four times to the right and then unfolding to give right angles, this gives the first 15 terms of the sequence when 1 represents a right turn and 0 represents a left turn. Starting at n = 1, the first few terms of the regular paperfolding sequence are:1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, ... (sequence A014577 in OEIS)↑".
- Regular_paperfolding_sequence thumbnail Dragon_curve_paper_strip.png?width=300.
- Regular_paperfolding_sequence wikiPageID "20313560".
- Regular_paperfolding_sequence wikiPageRevisionID "553068816".
- Regular_paperfolding_sequence hasPhotoCollection Regular_paperfolding_sequence.
- Regular_paperfolding_sequence subject Category:Binary_sequences.
- Regular_paperfolding_sequence subject Category:Paper_folding.
- Regular_paperfolding_sequence type Abstraction100002137.
- Regular_paperfolding_sequence type Arrangement107938773.
- Regular_paperfolding_sequence type BinarySequences.
- Regular_paperfolding_sequence type Group100031264.
- Regular_paperfolding_sequence type Ordering108456993.
- Regular_paperfolding_sequence type Sequence108459252.
- Regular_paperfolding_sequence type Series108457976.
- Regular_paperfolding_sequence comment "In mathematics the regular paperfolding sequence, also known as the dragon curve sequence, is an infinite automatic sequence of 0s and 1s defined as the limit of the following process:11 1 01 1 0 1 1 0 01 1 0 1 1 0 0 1 1 1 0 0 1 0 0At each stage an alternating sequence of 1s and 0s is inserted between the terms of the previous sequence.".
- Regular_paperfolding_sequence label "Regular paperfolding sequence".
- Regular_paperfolding_sequence label "Suite de pliage de papier".
- Regular_paperfolding_sequence sameAs Suite_de_pliage_de_papier.
- Regular_paperfolding_sequence sameAs m.04_0rxx.
- Regular_paperfolding_sequence sameAs Q768247.
- Regular_paperfolding_sequence sameAs Q768247.
- Regular_paperfolding_sequence sameAs Regular_paperfolding_sequence.
- Regular_paperfolding_sequence wasDerivedFrom Regular_paperfolding_sequence?oldid=553068816.
- Regular_paperfolding_sequence depiction Dragon_curve_paper_strip.png.
- Regular_paperfolding_sequence isPrimaryTopicOf Regular_paperfolding_sequence.
