Category:Menger sponge diagonal section, stack
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Interactive edit
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Selection edit
Full-edge and half-edge truncation
Full-edge truncations (odd) edit
Full-edge truncations start with a solid triangle for M0 and the Mitsubishi logo for M1, subsequently replacing triangles by Misubishi logos.
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Half-edge truncations (even) edit
Half-edge truncations start with a solid triangle for M1 and one with a hexagrammatic hole for M2. The remaining area is subsequently filled with hexagrams.
The Menger sponge shown here is M4, so only its hexagonal cross-section is visible from the truncation of M5.
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Complete list edit
even edit
| 27 / 9 = 3
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25 / 9
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23 / 9
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21 / 9 = 7 / 3
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19 / 9
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17 / 9
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15 / 9 = 5 / 3
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13 / 9
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11 / 9
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9 / 9 = 1
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7 / 9
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5 / 9
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3 / 9 = 1 / 3
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1 / 9
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−25 / 9 |
−23 / 9 |
−21 / 9 = −7 / 3 |
−19 / 9 |
−17 / 9 |
−15 / 9 = −5 / 3 |
−13 / 9 |
−11 / 9 |
−9 / 9 = −1 |
−7 / 9 |
−5 / 9 |
−3 / 9 = −1 / 3 |
−1 / 9 |
odd edit
| 26 / 9
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24 / 9 = 8 / 3
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22 / 9
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20 / 9
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18 / 9 = 2
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16 / 9
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14 / 9
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12 / 9 = 4 / 3
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10 / 9
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8 / 9
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6 / 9 = 2 / 3
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4 / 9
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2 / 9
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0 / 9 = 0
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−26 / 9 |
−24 / 9 = −8 / 3 |
−22 / 9 |
−20 / 9 |
−18 / 9 = −2 |
−16 / 9 |
−14 / 9 |
−12 / 9 = −4 / 3 |
−10 / 9 |
−8 / 9 |
−6 / 9 = −2 / 3 |
−4 / 9 |
−2 / 9 |
Code edit
These images have been rendered with the POV-Ray source shown at File:Menger sponge diagonal section.gif.
The color pigment { rgb <213,162,93>/255 } has been used instead of the cyan given in the source.
| creation of caption template |
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The captions come from {{MengerDiag}}, which has been created with the following Python code: from fractions import Fraction
for i in range(54):
a = 27 - i
val = abs(a)
minus = '−' if a < 0 else ''
frac = Fraction(val, 9)
num, den = frac.numerator, frac.denominator
if den == 9:
string = "| {i} = '''{minus}{val}''' / 9".format(i=i, minus=minus, val=val)
elif den == 1:
string = "| {i} = '''{minus}{val}''' / 9 <nowiki>=</nowiki> {minus}{num}".format(i=i, minus=minus, val=val, num=num)
else:
string = "| {i} = '''{minus}{val}''' / 9 <nowiki>=</nowiki> {minus}{num} / {den}".format(i=i, minus=minus, val=val, num=num, den=den)
print(string)
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Pages in category "Menger sponge diagonal section, stack"
The following 2 pages are in this category, out of 2 total.
Media in category "Menger sponge diagonal section, stack"
The following 54 files are in this category, out of 54 total.
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Menger sponge diagonal section 00.png 2,000 × 2,000; 166 KB
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Menger sponge diagonal section 01.png 2,000 × 2,000; 167 KB
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Menger sponge diagonal section 02.png 2,000 × 2,000; 170 KB
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Menger sponge diagonal section 03.png 2,000 × 2,000; 172 KB
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Menger sponge diagonal section 04.png 2,000 × 2,000; 175 KB
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