Original file (SVG file, nominally 512 × 341 pixels, file size: 3 KB)
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 12:57, 13 March 2021 |
![]() | 512 × 341 (3 KB) | Cmglee | Shade regions with the colour of the utility outside it. |
19:48, 8 March 2021 |
![]() | 512 × 341 (3 KB) | Cmglee | Centre graphic and shade white region. | |
13:44, 28 February 2021 |
![]() | 512 × 341 (3 KB) | Cmglee | Use simpler proof | |
05:48, 28 February 2021 |
![]() | 512 × 341 (3 KB) | Cmglee | {{Information |Description=Proof without words that the three utilities problem has no solution by CMG Lee. The three dashed lines are first deleted. The remaining lines divide the plane into two regions, shaded white and purple. Two of the dashed lines can be restored, one crossing the inside region, the other crossing the outside. As there are no regions left, the remaining line cannot be restored without crossing either line. |Source={{own}} |Date= |Author= Cmglee |Permissi... |
The following other wikis use this file:
Original file (SVG file, nominally 512 × 341 pixels, file size: 3 KB)
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 12:57, 13 March 2021 |
![]() | 512 × 341 (3 KB) | Cmglee | Shade regions with the colour of the utility outside it. |
19:48, 8 March 2021 |
![]() | 512 × 341 (3 KB) | Cmglee | Centre graphic and shade white region. | |
13:44, 28 February 2021 |
![]() | 512 × 341 (3 KB) | Cmglee | Use simpler proof | |
05:48, 28 February 2021 |
![]() | 512 × 341 (3 KB) | Cmglee | {{Information |Description=Proof without words that the three utilities problem has no solution by CMG Lee. The three dashed lines are first deleted. The remaining lines divide the plane into two regions, shaded white and purple. Two of the dashed lines can be restored, one crossing the inside region, the other crossing the outside. As there are no regions left, the remaining line cannot be restored without crossing either line. |Source={{own}} |Date= |Author= Cmglee |Permissi... |
The following other wikis use this file: