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Calculate quantity of shapes inside another shape
Hello,
I have been working on a formula that will calculate how many rectangles will fit inside another rectangle. I am stuck. For instance I have a rectange that is 29.125" X 36.125" and I need to determine how many 4.875" X 7" rectangles I can fit inside to optomize the original rectangle. Any help woudl be greatly appreciated. Thanks, Jay |
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#2
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Calculate quantity of shapes inside another shape
jlclyde presented the following explanation :
Hello, I have been working on a formula that will calculate how many rectangles will fit inside another rectangle. I am stuck. For instance I have a rectange that is 29.125" X 36.125" and I need to determine how many 4.875" X 7" rectangles I can fit inside to optomize the original rectangle. Any help woudl be greatly appreciated. Thanks, Jay It will depend on how you orient the smaller shapes. For example, if you put the 4.875" (width) along the 29.125" (width) you can get 5.974 pieces by 5.161 pieces for a total of 25 with lots of left over space. If you transvers the pieces so they're oriented length along width of large rectangle, you'll get 28 pieces with little leftover space. So with the following layout: A1: 29.125 B1: 36.125 A2: 4.875 B2: 7 C1: =ROUNDDOWN(($A$1/$A$2),0)*ROUNDDOWN(($B$1/$B$2),0) (width/width) C2: =ROUNDDOWN(($A$1/$B$2),0)*ROUNDDOWN(($B$1/$A$2),0) (length/width) -- Garry Free usenet access at http://www.eternal-september.org ClassicVB Users Regroup! comp.lang.basic.visual.misc |
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#3
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Calculate quantity of shapes inside another shape
On Jul 5, 8:38*pm, GS wrote:
jlclyde presented the following explanation : Hello, I have been working on a formula that will calculate how many rectangles will fit inside another rectangle. *I am stuck. *For instance I have a rectange that is 29.125" X 36.125" and I need to determine how many 4.875" X 7" rectangles I can fit inside to optomize the original rectangle. *Any help woudl be greatly appreciated. Thanks, Jay It will depend on how you orient the smaller shapes. For example, if you put the 4.875" (width) along the 29.125" (width) you can get 5.974 pieces by 5.161 pieces for a total of 25 with lots of left over space. If you transvers the pieces so they're oriented length along width of large rectangle, you'll get 28 pieces with little leftover space. So with the following layout: * A1: *29.125 * B1: *36.125 * A2: * 4.875 * B2: * 7 * C1: *=ROUNDDOWN(($A$1/$A$2),0)*ROUNDDOWN(($B$1/$B$2),0) (width/width) * C2: *=ROUNDDOWN(($A$1/$B$2),0)*ROUNDDOWN(($B$1/$A$2),0) (length/width) -- Garry Free usenet access athttp://www.eternal-september.org ClassicVB Users Regroup! comp.lang.basic.visual.misc Garry, thanks for the reply. I need to know what the maximum number I can get out of the larger rectangle. The smaller shapes could be orientated any direction. Is there a formula that could determine how many go length wise and how many go width wise? Thanks, Jay |
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#4
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Calculate quantity of shapes inside another shape
jlclyde brought next idea :
On Jul 5, 8:38*pm, GS wrote: jlclyde presented the following explanation : Hello, I have been working on a formula that will calculate how many rectangles will fit inside another rectangle. *I am stuck. *For instance I have a rectange that is 29.125" X 36.125" and I need to determine how many 4.875" X 7" rectangles I can fit inside to optomize the original rectangle. *Any help woudl be greatly appreciated. Thanks, Jay It will depend on how you orient the smaller shapes. For example, if you put the 4.875" (width) along the 29.125" (width) you can get 5.974 pieces by 5.161 pieces for a total of 25 with lots of left over space. If you transvers the pieces so they're oriented length along width of large rectangle, you'll get 28 pieces with little leftover space. So with the following layout: * A1: *29.125 * B1: *36.125 * A2: * 4.875 * B2: * 7 * C1: *=ROUNDDOWN(($A$1/$A$2),0)*ROUNDDOWN(($B$1/$B$2),0) (width/width) * C2: *=ROUNDDOWN(($A$1/$B$2),0)*ROUNDDOWN(($B$1/$A$2),0) (length/width) -- Garry Free usenet access athttp://www.eternal-september.org ClassicVB Users Regroup! comp.lang.basic.visual.misc Garry, thanks for the reply. I need to know what the maximum number I can get out of the larger rectangle. The smaller shapes could be orientated any direction. Is there a formula that could determine how many go length wise and how many go width wise? Thanks, Jay I just gave you formulas for determining both orientations. You can choose from the results which orientation to choose. If you mean a mix/match of orientations (ie: some width, some length) then I suggest using CAD software or hope someone who does shipping in containers/trailers for some algorithms that you can use. -- Garry Free usenet access at http://www.eternal-september.org ClassicVB Users Regroup! comp.lang.basic.visual.misc |
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#5
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Calculate quantity of shapes inside another shape
Just so you understand why I suggest using CAD software...
Some CAD/CAM software have utilities for figuring out the maximum yield from a given size of material stock for given component size envelopes. These can even be mixed size envelopes, yield different parts from the same material stock. For example, a 4 x 8 sheet of aluminum would be plotted to yield n pieces of part#a and n pieces of part#b, or any number of other pieces so as to effect minimum waste of material stock. The most typical usage would be EDM or plasma/flame cutting apps, followed by CNC part programming software. -- Garry Free usenet access at http://www.eternal-september.org ClassicVB Users Regroup! comp.lang.basic.visual.misc |
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#6
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Calculate quantity of shapes inside another shape
On Jul 5, 9:43*pm, GS wrote:
Just so you understand why I suggest using CAD software... Some CAD/CAM software have utilities for figuring out the maximum yield from a given size of material stock for given component size envelopes. These can even be mixed size envelopes, yield different parts from the same material stock. For example, a 4 x 8 sheet of aluminum would be plotted to yield n pieces of part#a and n pieces of part#b, or any number of other pieces so as to effect minimum waste of material stock. The most typical usage would be EDM or plasma/flame cutting apps, followed by CNC part programming software. -- Garry Free usenet access athttp://www.eternal-september.org ClassicVB Users Regroup! comp.lang.basic.visual.misc Gary, Thanks again for the clarification, but I do need the shapes to go both directions. we currently have a software program that does this, I was just wondering what the formula would look like in Excel. We often change the parent size, which is stored in excel. Then we have to plug the numbers back into the program to get the new number out. I was hoping I could have it make the one change and be done with it. Thanks, Jay |
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#7
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Calculate quantity of shapes inside another shape
jlclyde brought next idea :
On Jul 5, 9:43*pm, GS wrote: Just so you understand why I suggest using CAD software... Some CAD/CAM software have utilities for figuring out the maximum yield from a given size of material stock for given component size envelopes. These can even be mixed size envelopes, yield different parts from the same material stock. For example, a 4 x 8 sheet of aluminum would be plotted to yield n pieces of part#a and n pieces of part#b, or any number of other pieces so as to effect minimum waste of material stock. The most typical usage would be EDM or plasma/flame cutting apps, followed by CNC part programming software. -- Garry Free usenet access athttp://www.eternal-september.org ClassicVB Users Regroup! comp.lang.basic.visual.misc Gary, Thanks again for the clarification, but I do need the shapes to go both directions. we currently have a software program that does this, I was just wondering what the formula would look like in Excel. We often change the parent size, which is stored in excel. Then we have to plug the numbers back into the program to get the new number out. I was hoping I could have it make the one change and be done with it. Thanks, Jay Jay, I guess, then, that whatever program you have that does this is what I'm referring to. To reproduce what it does would require knowing what algorithm[s] it uses. I doubt the author would release that info and so why bother trying to dupe in Excel what you already have dedicated software to do (besides licensing restrictions). -- Garry Free usenet access at http://www.eternal-september.org ClassicVB Users Regroup! comp.lang.basic.visual.misc |
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#8
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Calculate quantity of shapes inside another shape
On Jul 7, 1:26*pm, GS wrote:
jlclyde brought next idea : On Jul 5, 9:43 pm, GS wrote: Just so you understand why I suggest using CAD software... Some CAD/CAM software have utilities for figuring out the maximum yield from a given size of material stock for given component size envelopes.. These can even be mixed size envelopes, yield different parts from the same material stock. For example, a 4 x 8 sheet of aluminum would be plotted to yield n pieces of part#a and n pieces of part#b, or any number of other pieces so as to effect minimum waste of material stock.. The most typical usage would be EDM or plasma/flame cutting apps, followed by CNC part programming software. -- Garry Free usenet access athttp://www.eternal-september.org ClassicVB Users Regroup! comp.lang.basic.visual.misc Gary, Thanks again for the clarification, but I do need the shapes to go both directions. *we currently have a software program that does this, I was just wondering what the formula would look like in Excel. *We often change the parent size, which is stored in excel. *Then we have to plug the numbers back into the program to get the new number out. I was hoping I could have it make the one change and be done with it. Thanks, Jay Jay, I guess, then, that whatever program you have that does this is what I'm referring to. To reproduce what it does would require knowing what algorithm[s] it uses. I doubt the author would release that info and so why bother trying to dupe in Excel what you already have dedicated software to do (besides licensing restrictions). -- Garry Free usenet access athttp://www.eternal-september.org ClassicVB Users Regroup! comp.lang.basic.visual.misc- Hide quoted text - - Show quoted text - Gary, I want to do this in excel because I do not want to have to go back out of excel to calculate how many I can get out a parent size stock. Thanks for your comments. Thanks, Jay |
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#9
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Calculate quantity of shapes inside another shape
jlclyde explained :
I want to do this in excel because I do not want to have to go back out of excel to calculate how many I can get out a parent size stock. Jay, Yeah, I can understand that. The software I use (SolidWorks) supports 'Design Tables' which are Excel spreadsheets, and so this is integrated. I'll see what I can find out about how this is done... -- Garry Free usenet access at http://www.eternal-september.org ClassicVB Users Regroup! comp.lang.basic.visual.misc |
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