Loop de Loop by Vinci Daro https://padlet.com/vinci2/4dia5bl50ef0h6jw Our language gets stronger and clearer each time we share en-us 2020-12-05 00:04:19 UTC 2025-12-08 15:59:49 UTC hello@padlet.com https://padlet.net/icons/png/1f3ac.png I noticed that some numbers loop back to the original point. https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996153067 2020-12-07 21:39:41 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996153067 Bigger spread of numbers created larger rectangles. https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996153069 2020-12-07 21:39:41 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996153069 https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996153426 Odd numbers of moves seemed to connect.]]> 2020-12-07 21:39:48 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996153426 The lines always cross over each other in the examples https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996154104 2020-12-07 21:39:58 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996154104 I noticed that the loop always came back around to meet the starting point after sfeiteira https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996154195 2020-12-07 21:40:01 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996154195 I wonder what is the biggest numbers you can select to make the largest loops that return back to the original point. https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996154354 2020-12-07 21:40:05 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996154354 The numbers all greated loops, some were closed and others no. I didn't expect the non-closed loops. https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996154423 2020-12-07 21:40:07 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996154423 What makes a sequence return to its origin? https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996154679 2020-12-07 21:40:11 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996154679 Some number combos looped over the center point and some looped around the center point. https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996154840 2020-12-07 21:40:13 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996154840 https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996155104 I wondered if even numbers of moves would always move away.]]> 2020-12-07 21:40:20 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996155104 The numbers represented the line lengths https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996155127 2020-12-07 21:40:21 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996155127 How are the chosen numbers related to the grid? https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996155261 2020-12-07 21:40:24 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996155261 some spiral off, others come back around https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996155524 2020-12-07 21:40:30 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996155524 at four numbers descending the spiral leaves the page and does not appear to come back https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996155621 2020-12-07 21:40:32 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996155621 I wonder what numbers make close figures and what numbers make 'open' figures. sovadya https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996155939 2020-12-07 21:40:40 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996155939 https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996156599 The numbers represented the line lengths]]> 2020-12-07 21:40:56 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996156599 Cool pattern https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996156824 I noticed 2, 3, 4,4,4,3,6,6,1 made a cool pattern

]]> 2020-12-07 21:41:01 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996156824 The order of the (same group of) numbers can change the direction of the loop/figure. https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996157107 2020-12-07 21:41:06 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996157107 What causes some to come back and others to go off infinitely? Do all of the ones that come back to themselves, do it in 4 loops? https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996157232 2020-12-07 21:41:08 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996157232 Do they always loop back to the original point in a specific number of loops? https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996157411 2020-12-07 21:41:12 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996157411 I wonder if the spirals that leave the page actually come back https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996157492 2020-12-07 21:41:14 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996157492 I noticed that there seemed to be some loopde loops where rectangles sat next to each other, some that looked open (rectangles far from the center) and some wer overlapping (the bigger sides were overlapping) https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996157554 2020-12-07 21:41:16 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996157554 sometimes they spiral back to the start, sometimes they go off the page https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996157893 2020-12-07 21:41:24 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996157893 Is it always the same number of loops before it comes back to the starting point? sfeiteira https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996158188 2020-12-07 21:41:30 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996158188 what combos of numbers spiral, which ones don't https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996158839 2020-12-07 21:41:47 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996158839 Are there different formulas to follow for different results. https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996159517 2020-12-07 21:42:02 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996159517 I wonder how adding a longer sequence in affects the shape of the loop de loops. https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996162045 2020-12-07 21:43:02 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996162045 The chosen numbers determine the shape. Negative numbers are on the bottom of the grid and positive numbers at the top. The amount of numbers selected also changes the shape. https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996210719 2020-12-07 22:03:09 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996210719 I understand that the loop does not always come back to its original starting point, and that when there are four numbers or a multiple of four numbers in a sequence, the pattern instead goes off the page. sfeiteira https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996210905 2020-12-07 22:03:13 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996210905 Relations between this activity and making predictions to movements on a coordinate plane. https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996211070 2020-12-07 22:03:17 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996211070 the number of turns is important, if you have 4 turns or a multiple of 4 turns a spiral is created, the others will form a loop that returns to the start https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996212033 2020-12-07 22:03:42 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996212033 https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996212133 I understand that I know nothing yet. ]]> 2020-12-07 22:03:45 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996212133 The role the sequence of numbers play when determining if the spiral will go off the page to the top right or bottom left. sovadya https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996212148 2020-12-07 22:03:45 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996212148 We noticed a 1, 2, 3, ___ pattern always was infinite https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996212947 2020-12-07 22:04:05 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996212947 For the most part, an odd number of numbers will bring you back to the starting point, and an even number of numbers will not. https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996213928 2020-12-07 22:04:26 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996213928 I understand that when the loop has 4 numbers, it must be lengths that describe a square or rectangle to close. https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996214027 2020-12-07 22:04:28 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996214027 https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996217067 In the sequence, multiples of 4 did not allow for the loop to return to it's original starting point. 

]]> 2020-12-07 22:05:42 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996217067 Theorem 1 https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996219285 Doing a cyclic permutation on the sequence results in a rotation of the pattern by 90 degrees.]]> 2020-12-07 22:06:36 UTC https://padlet.com/vinci2/4dia5bl50ef0h6jw/wish/996219285