# [Continuous] Samster's Puzzle of the Day - Join in at any time! page 21

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 (2^5 * 9) – 8 = 280 Originally posted by LouWeed:(2^5 * 9) – 8 = 280 Correct. Really shouldn’t have used that puzzle on it’s own – too easy. :P I wouldn’t say it’s exactly 2/9 because Samster’s picture isn’t nearly as uniform as yours. I’d say the tiny little triangles in Samster’s make it slightly more than 2/9. maybe like 5/18 or 7/27 Kinda late, but going by Samster’s image… If we don’t count the black outlines and consider only the grey portions against the whole design, again excluding the outlines, we get 1156 ps2/5925 ps2 = 0.19 something, which is less than 2/9. If we count outlines in both cases, we get 1740 ps2/7235 ps2 = 0.24 something, which is more than 2/9. The solution to the puzzle was not supposed to be derived from Samster’s image but from the platonic ideal of the diagram that he defined. The image was merely a visual aid. Obviously it would be impossible to construct a perfect representation of the image that had exactly 2/9 shaded. Originally posted by LouWeed:The solution to the puzzle was not supposed to be derived from Samster’s image but from the platonic ideal of the diagram that he defined. The image was merely a visual aid. Obviously it would be impossible to construct a perfect representation of the image that had exactly 2/9 shaded. Couldn’t explain it better myself. Seriously. :P Puzzle 67: 3² = 9 My guess is 10. Originally posted by LouWeed:My guess is 10. How… did you get it so quickly? D: Well the area of the dotted square is 4. That’s all I can do. Originally posted by SamsterSamster:Originally posted by LouWeed:My guess is 10. How… did you get it so quickly? D: how is it 10? Well, if you extend the lines like so: I was pretty certain that each red area + each green area equaled one square, which just left the pink corners. So I guessed that they added up to one more square. Also I figured it out in my head, I only made this diagram to explain how. I’ve seen these before and I’m pretty sure it’s intended that you use Pythagorean. This was a pretty tame one so guesstimating works too Originally posted by Mysterymason:Well the area of the dotted square is 4. That’s all I can do. It’s actually 5. Originally posted by LouWeed:Well, if you extend the lines like so: I was pretty certain that each red area + each green area equaled one square, which just left the pink corners. So I guessed that they added up to one more square. Also I figured it out in my head, I only made this diagram to explain how. This… was more like something I was expecting to see. I s’pose I’ll have to ramp it up with a general knowledge puzzle tomorrow :P It’s actually 5. How so? The width of the square is 1, and one side of the dotted line is 2 (1+1), and 2×2 is 4. So….didn’t I get the answer wrong? 49/5 =/= 10. OOH! Since Lou was wrong, I’m gonna say the answer is 49/5. WIN! Originally posted by LouWeed:So….didn’t I get the answer wrong? 49/5 =/= 10. Wow… I totally failed that :P And because I did, I’ma redo Puzzle 67: What connects these four names? Amy, Ashley, Macy, Gloria All names of songs. EDIT: Also, There is a Green Day song for each name. Viva la Gloria, Ashley, Amy, Macy’s Day Parade I actually knew that the answer was between 9 and 10, but didn’t know how I could find the exact answer. So I was confused whenever Lou’s answer of 10 was accepted. I thought each of the gray squares were 1/9 the size of the big box, which is why I got 9 Originally posted by MaistlinRajere:All names of songs. EDIT: Also, There is a Green Day song for each name. Viva la Gloria, Ashley, Amy, Macy’s Day Parade Absolutely correct, all subjects of Green Day songs. Puzzle 68: Just a simple sudoku today. 875|931|246 314|286|975 926|745|138 -—————— 739|812|654 481|653|729 652|497|381 -—————— 597|368|412 268|174|593 143|529|867