tag:blogger.com,1999:blog-8143976828657199217.post3761157571027063345..comments2023-05-27T08:37:06.936-07:00Comments on No Longer Reading: Leonhard Euler, John Von Neumann, and IQ Part 3No Longer Readinghttp://www.blogger.com/profile/12716199759491512542noreply@blogger.comBlogger8125tag:blogger.com,1999:blog-8143976828657199217.post-58699528235045256512020-12-26T08:11:03.000-08:002020-12-26T08:11:03.000-08:00The comment did not preserve the spacing, unfortun...The comment did not preserve the spacing, unfortunately.No Longer Readinghttps://www.blogger.com/profile/12716199759491512542noreply@blogger.comtag:blogger.com,1999:blog-8143976828657199217.post-69322782111356560132020-12-26T08:09:56.423-08:002020-12-26T08:09:56.423-08:00Yes, that would work and it would create larger ga...Yes, that would work and it would create larger gaps. Here's what it looks like when we roll 2d4: <br />1,2,3,4 <br /> 2, 4, 6, 8 <br /> 3, 6, 9, 12 <br /> 4, 8, 12, 16No Longer Readinghttps://www.blogger.com/profile/12716199759491512542noreply@blogger.comtag:blogger.com,1999:blog-8143976828657199217.post-91386354421645341362020-12-26T03:31:56.069-08:002020-12-26T03:31:56.069-08:00For a "multiplier effect," couldn't ...For a "multiplier effect," couldn't you roll several dice and take the product rather than the sum of the numbers rolled? For example, if you rolled 5d6, the results would range from 1 to 6^5 and would not look anything like a bell curve.Wm Jas Tychonievichhttps://www.blogger.com/profile/07446790072877463982noreply@blogger.comtag:blogger.com,1999:blog-8143976828657199217.post-1211035334755662502020-12-25T19:26:55.972-08:002020-12-25T19:26:55.972-08:00Sure. Turns out I was right the first time after a...Sure. Turns out I was right the first time after all.<br /><br />https://narrowdesert.blogspot.com/2020/12/the-distribution-of-mixed-polyhedral.htmlWm Jas Tychonievichhttps://www.blogger.com/profile/07446790072877463982noreply@blogger.comtag:blogger.com,1999:blog-8143976828657199217.post-38895660650787710402020-12-25T08:44:39.335-08:002020-12-25T08:44:39.335-08:00I was just saying to my wife the other day that ma...I was just saying to my wife the other day that mathematical and musical abilities seem more varied than anything else I know of. <br /><br />(And I think there is a surprising positive between music composition and maths.) <br /><br />Most people are pretty close to zero! - and then the people who are good are So much better - and then there are some who are So much better than the people who are good... <br /><br />But the distribution doesn't seem anything like a bell curve - more like something very positively skewed. Bruce Charltonhttps://www.blogger.com/profile/09615189090601688535noreply@blogger.comtag:blogger.com,1999:blog-8143976828657199217.post-11780059761098455022020-12-25T08:11:38.715-08:002020-12-25T08:11:38.715-08:00Can you post what you found? I was thinking more ...Can you post what you found? I was thinking more of the smoothness of the curve than its shape, but I would be curious to know how the mix of polyhedral dice distribution looks. <br /><br />Also, I realized after writing this that rolling dice doesn't take account of a multiplier effect, unless you add a rule such as, when all the dice are a multiple of 4, add 20 or something like that. No Longer Readinghttps://www.blogger.com/profile/12716199759491512542noreply@blogger.comtag:blogger.com,1999:blog-8143976828657199217.post-27634025615554420502020-12-24T21:43:40.784-08:002020-12-24T21:43:40.784-08:00Never mind. I've checked it, and my assumption...Never mind. I've checked it, and my assumption was totally wrong!Wm Jas Tychonievichhttps://www.blogger.com/profile/07446790072877463982noreply@blogger.comtag:blogger.com,1999:blog-8143976828657199217.post-63379807895938117792020-12-24T20:45:25.803-08:002020-12-24T20:45:25.803-08:00Would rolling a mix of polyhedral dice really resu...Would rolling a mix of polyhedral dice really result in anything significantly different from a normal bell curve. I haven’t done the calculations, but my assumption is that it would not.Wm Jas Tychonievichhttps://www.blogger.com/profile/07446790072877463982noreply@blogger.com