tag:blogger.com,1999:blog-175911120407580792.post3026520380249780089..comments2017-01-18T13:20:28.859-08:00Comments on Mike Naylor - creative mathematics: Factor VisualizationMike Naylorhttp://www.blogger.com/profile/17729299407160694706noreply@blogger.comBlogger6125tag:blogger.com,1999:blog-175911120407580792.post-35072287457642041952015-12-11T16:02:39.531-08:002015-12-11T16:02:39.531-08:00Wow! This is particularly interesting to me becaus...Wow! This is particularly interesting to me because I develop iOS applications for teaching math to kids. <br /><br /> The first app I ever released was a little matching game based on a similar technique. Check it out here: https://itunes.apple.com/us/app/fortynine/id909512755?mt=8&ign-mpt=uo%3D4Andrew Fennerhttp://www.blogger.com/profile/17932899638155736161noreply@blogger.comtag:blogger.com,1999:blog-175911120407580792.post-67141942939367346082013-09-24T08:09:05.474-07:002013-09-24T08:09:05.474-07:00No it wasn't deliberate, just the right size f...No it wasn't deliberate, just the right size for fitting on a poster. I made a whole series of cards with these patterns on them, with all variations, so that 15 for example was three groups of pentagons and also 5 groups of triangles. They're really quite lovely, and were good fun to make!<br /><br />I blogged about them on my Norwegian blogg... it's a little tricky to read but you can see the pictures here:<br /><br />http://matematikksenteret.no/content/2116/Faktorvisualisering-og-faktorspill Mike Naylorhttp://www.blogger.com/profile/17729299407160694706noreply@blogger.comtag:blogger.com,1999:blog-175911120407580792.post-38951445032836549552013-09-24T08:00:44.969-07:002013-09-24T08:00:44.969-07:00Fair enough.
I wonder if 49 was a deliberate choi...Fair enough.<br /><br />I wonder if 49 was a deliberate choice so as to arrange the numbers such that there will be one diagonal consisting of primes except for the one in centre which is 25. This also leads me to think whether it is possible to find a prime P such that kP-k+1 is prime for values of k that result in positive integer kP-k+1. If one finds that prime, the numbers could be arranged in a square and there would be an entire diagonal of primes. A quick mental check reveals it holds for P=3 (the numbers on the diagonal are 3,5,7).Raiyan Kamalhttp://www.blogger.com/profile/02460347899024467837noreply@blogger.comtag:blogger.com,1999:blog-175911120407580792.post-74903824829823301752013-09-23T23:18:52.357-07:002013-09-23T23:18:52.357-07:00Sharp eye Raiyan! I agree. The artist who made the...Sharp eye Raiyan! I agree. The artist who made the animation decided it looked better as a square, when a rectangle would be better. I tried both ways when experimenting with the designs and agree that the square looks better.<br /><br />So it's not mathematically correct but aesthetically better. Such are the tradeoffs we make sometimes in the name of Art!Mike Naylorhttp://www.blogger.com/profile/17729299407160694706noreply@blogger.comtag:blogger.com,1999:blog-175911120407580792.post-60579122747151835372013-09-23T19:12:56.427-07:002013-09-23T19:12:56.427-07:00Good job, Mike. Thanks a lot for sharing this idea...Good job, Mike. Thanks a lot for sharing this idea with everyone.<br />I notice a pattern here. The prime numbers are represented by dots arranged in a circle while composites are arranged in compositions. But look at 4, the dots are arranged in circle there too. As if 4 is a prime. Shouldn't it be 2X2 ? But depending on how 4 is represented, all the numbers divisible by 4 also could need redrawing. I would love to hear your thoughts on it. Cheers.Raiyan Kamalhttp://www.blogger.com/profile/02460347899024467837noreply@blogger.comtag:blogger.com,1999:blog-175911120407580792.post-31409764561771273692013-02-01T09:36:57.062-08:002013-02-01T09:36:57.062-08:00Is there a poster available or can I make my own?Is there a poster available or can I make my own?mary leehttp://www.blogger.com/profile/14182863863751298924noreply@blogger.com