TimeSpaceLightForce Posted February 17, 2013 Report Share Posted February 17, 2013 What is the required minimum number of coins to produce two diamonds (regular rhombus) ? Quote Link to comment Share on other sites More sharing options...
0 CaptainEd Posted February 17, 2013 Report Share Posted February 17, 2013 A B C D E One diamond is ABCD, the other is ABDE Quote Link to comment Share on other sites More sharing options...
0 CaptainEd Posted February 17, 2013 Report Share Posted February 17, 2013 Unfortunately, my iPhone wasn't permitted to edit my reply, so here is my answer edited for formatting. . .A. .B .C. .D. .E One diamond is ABCD, the other is ABDE Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted February 17, 2013 Author Report Share Posted February 17, 2013 (edited) . .A. .B .C. .D. .E One diamond is ABCD, the other is ABDE No CaptainEd, without the lines it looks like a trapezoid Edited February 17, 2013 by TimeSpaceLightForce Quote Link to comment Share on other sites More sharing options...
0 witzar Posted February 17, 2013 Report Share Posted February 17, 2013 Six coins in 3x2 grid, diamonds are spaces between coins: Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted February 17, 2013 Author Report Share Posted February 17, 2013 Six coins in 3x2 grid, diamonds are spaces between coins: Nice coins!A square is a rhombus, but we're looking for diamonds with straight lines. Quote Link to comment Share on other sites More sharing options...
0 Yoruichi-san Posted February 18, 2013 Report Share Posted February 18, 2013 Viewing from the side, there are several ways to do it with 5 with US coins... ...or coins of other countries... Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted February 18, 2013 Author Report Share Posted February 18, 2013 Viewing from the side, there are several ways to do it with 5 with US coins... ...or coins of other countries... Flat face arcade coins will do. But the 3-D arrangement above looks like it has 7 triangles. Quote Link to comment Share on other sites More sharing options...
0 CaptainEd Posted February 18, 2013 Report Share Posted February 18, 2013 5 coins, two rhombuses (ABCD and ABDE). Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted February 18, 2013 Author Report Share Posted February 18, 2013 5 coins, two rhombuses (ABCD and ABDE).rhombuses.PNG If the coins arrangement above is inverted and consider the more defined points (tangents), we see a brilliant diamond but no rhombus. Quote Link to comment Share on other sites More sharing options...
0 Yoruichi-san Posted February 18, 2013 Report Share Posted February 18, 2013 Viewing from the side, there are several ways to do it with 5 with US coins... ...or coins of other countries... diamonds.JPG Flat face arcade coins will do. But the 3-D arrangement above looks like it has 7 triangles. No, you missed the "viewing from the side" part of my post. Viewed from the side, the coins look like lines ;P. Also, the OP doesn't specify the coins have to be the same coin, so you could do it easily by using 2 coins that have a diameter that is 2X and 3 coins that are a diameter of X, which, viewed in the third dimension, are lines with those lengths Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted February 18, 2013 Author Report Share Posted February 18, 2013 No, you missed the "viewing from the side" part of my post. Viewed from the side, the coins look like lines ;P. Also, the OP doesn't specify the coins have to be the same coin, so you could do it easily by using 2 coins that have a diameter that is 2X and 3 coins that are a diameter of X, which, viewed in the third dimension, are lines with those lengths Hai! That is yes..5 coins w/ 2 double diamater. Looks like a parallelogram with line in the middle. OP should say "same coin" but i guess no one use 4 half-cut coins (or bitable coins) to make 8 diameters. It seem to have 2 hexagons? Quote Link to comment Share on other sites More sharing options...
0 Yoruichi-san Posted February 18, 2013 Report Share Posted February 18, 2013 No, you missed the "viewing from the side" part of my post. Viewed from the side, the coins look like lines ;P. Also, the OP doesn't specify the coins have to be the same coin, so you could do it easily by using 2 coins that have a diameter that is 2X and 3 coins that are a diameter of X, which, viewed in the third dimension, are lines with those lengths Hai! That is yes..5 coins w/ 2 double diamater. Looks like a parallelogram with line in the middle. OP should say "same coin" but i guess no one use 4 half-cut coins (or bitable coins) to make 8 diameters. 2dia.JPG It seem to have 2 hexagons? My angles were more...90 degrees . If you want to use the same coin, you can stagger the stacking so that there is 3 coins in 'back' in one direction and 2 coins in 'front in a different direction. Then when you look at it from a front view, it 'seems' to be a grid of intersecting lines that form two rhombuses. Sorry if I'm going on a completely different tangent than what the OP intended, to be honest, I'm not sure what the OP intends , but seeing your response to witzar made me think 'outside the box' (or plane of the box ) type solutions were acceptable. 1 Quote Link to comment Share on other sites More sharing options...
0 Yoruichi-san Posted February 19, 2013 Report Share Posted February 19, 2013 (edited) Oooh...I know this is definitely not what the OP intended, but I can't resist... I win (well, until someone finds a coin with two rhombuses drawn on it ) Edit: Oh wait, it has 3 rhombuses drawn on it! Beat that...lol Edited February 19, 2013 by Yoruichi-san Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted February 19, 2013 Author Report Share Posted February 19, 2013 Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted February 19, 2013 Author Report Share Posted February 19, 2013 No, you missed the "viewing from the side" part of my post. Viewed from the side, the coins look like lines ;P. Also, the OP doesn't specify the coins have to be the same coin, so you could do it easily by using 2 coins that have a diameter that is 2X and 3 coins that are a diameter of X, which, viewed in the third dimension, are lines with those lengths Hai! That is yes..5 coins w/ 2 double diamater. Looks like a parallelogram with line in the middle. OP should say "same coin" but i guess no one use 4 half-cut coins (or bitable coins) to make 8 diameters. 2dia.JPG It seem to have 2 hexagons? My angles were more...90 degrees . If you want to use the same coin, you can stagger the stacking so that there is 3 coins in 'back' in one direction and 2 coins in 'front in a different direction. Then when you look at it from a front view, it 'seems' to be a grid of intersecting lines that form two rhombuses. Sorry if I'm going on a completely different tangent than what the OP intended, to be honest, I'm not sure what the OP intends , but seeing your response to witzar made me think 'outside the box' (or plane of the box ) type solutions were acceptable. Oui! congrats Y-san .. merci Quote Link to comment Share on other sites More sharing options...
0 Yoruichi-san Posted February 19, 2013 Report Share Posted February 19, 2013 Ohhhhh so that's what you were thinking...lol...tres ingenieux . Quote Link to comment Share on other sites More sharing options...
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TimeSpaceLightForce
What is the required minimum number of coins
to produce two diamonds (regular rhombus) ?
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