Original file (SVG file, nominally 333 × 162 pixels, file size: 7 KB)
Français : Le spectre du
laplacien est le même pour ces deux domaines plans.
Public domain Public domain false false
This work has been released into the public domain by its author, Jitse Niesen , at the English Wikipedia project . This applies worldwide.
In case this is not legally possible: Jitse Niesen grants anyone the right to use this work for any purpose , without any conditions, unless such conditions are required by law.
This picture is produced by the following XFig file:
#FIG 3.2 Produced by xfig version 3.2.5-alpha5
Landscape
Center
Metric
A4
100.00
Single
-2
1200 2
2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2
450 1800 450 0
2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2
900 0 900 1800
2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2
1350 1800 1350 0
2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2
1800 0 1800 1800
2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 2
225 1800 2025 1800
2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 2
225 1800 225 0
2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2
225 225 2025 225
2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2
225 675 2025 675
2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2
225 1125 2025 1125
2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2
225 1575 2025 1575
2 3 0 4 15 -1 49 -1 -1 0.000 0 0 -1 0 0 9
900 225 450 675 900 1125 1350 1125 1350 1575 1800 1125
1800 675 900 675 900 225
2 3 0 0 -1 3 51 -1 20 0.000 0 0 -1 0 0 9
900 225 450 675 900 1125 1350 1125 1350 1575 1800 1125
1800 675 900 675 900 225
2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2
2700 1800 2700 0
2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2
3150 0 3150 1800
2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2
3600 1800 3600 0
2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2
4050 0 4050 1800
2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 2
2475 1800 4275 1800
2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 2
2475 1800 2475 0
2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2
2475 225 4275 225
2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2
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2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2
2475 1125 4275 1125
2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 0 0 2
2475 1575 4275 1575
2 3 0 4 15 -1 49 -1 -1 0.000 0 0 -1 0 0 9
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4 1 0 50 -1 0 12 0.0000 4 135 105 450 2025 0\001
4 1 0 50 -1 0 12 0.0000 4 150 105 900 2025 1\001
4 1 0 50 -1 0 12 0.0000 4 135 105 1350 2025 2\001
4 1 0 50 -1 0 12 0.0000 4 150 105 1800 2025 3\001
4 2 0 50 -1 0 12 0.0000 4 135 105 180 1620 0\001
4 2 0 50 -1 0 12 0.0000 4 150 105 180 1170 1\001
4 2 0 50 -1 0 12 0.0000 4 135 105 180 720 2\001
4 2 0 50 -1 0 12 0.0000 4 150 105 180 270 3\001
4 1 0 50 -1 0 12 0.0000 4 135 105 2700 2025 0\001
4 1 0 50 -1 0 12 0.0000 4 150 105 3150 2025 1\001
4 1 0 50 -1 0 12 0.0000 4 135 105 3600 2025 2\001
4 1 0 50 -1 0 12 0.0000 4 150 105 4050 2025 3\001
4 2 0 50 -1 0 12 0.0000 4 135 105 2430 1620 0\001
4 2 0 50 -1 0 12 0.0000 4 150 105 2430 1170 1\001
4 2 0 50 -1 0 12 0.0000 4 135 105 2430 720 2\001
4 2 0 50 -1 0 12 0.0000 4 150 105 2430 270 3\001
Exported to SVG by Keenan Pepper.
English Add a one-line explanation of what this file represents
Russian Первый пример двух неконгруэнтных барабанов, звучащих одинаково. Обратите внимание, что фигуры имеют равные площади и периметры.
File history
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Date/Time Thumbnail Dimensions User Comment
current 01:05, 16 September 2007 333 × 162 (7 KB) Keenan Pepper Two drums with these shapes have the same harmonics. See Hearing the shape of a drum for details. {{PD-user-w|en|English Wikipedia|Jitse Niesen}} This picture is produced by the following XFig file: #FIG 3.2 Produced by xfig version 3.2.5-alpha5
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