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Palindrome Day 20200202 _ sumymus blog.mhtml
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=09
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<h1 class=3D"entry-title">Palindrome Day 20200202</h1>
<div class=3D"entry-meta">
<span class=3D"entry-date"><a href=3D"https://blog.sumymus.de/palindrome=
-day-20200202" rel=3D"bookmark"><time class=3D"entry-date" datetime=3D"2020=
-01-31T01:45:21+01:00">2020-01-31</time></a></span> <span class=3D"byline">=
<span class=3D"author vcard"><a class=3D"url fn n" href=3D"https://blog.sum=
ymus.de/author/blogsumymus" rel=3D"author">sumymus</a></span></span> <spa=
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<div class=3D"wp-block-group"><div class=3D"wp-block-group__inner-container=
">
<p>The year 2020 is definitely a very special one for all those who have a =
sense of symmetry =E2=80=93 and this disposition was given to us by the evo=
lution. Depending on the date format used, there are several palindrome day=
s this year, i.e. dates that are symmetrical (or palindromic).</p>
<p>When written in the international ISO 8601 format YYYYMMDD, 2020-02-02 i=
s the first palindromic date since 2011-11-02. In between there are 3014 da=
ys (more than 8 years). Of course, this is also a symmetrical date when wri=
tten in the American format MMDDYYYY, i.e. 02/02/2020. </p>
<p>Moreover, that date is also palindromic in the long German date format D=
DMMYYYY, this is 02.02.2020. This format is also used in many other countri=
es. It is the first such date since 21.02.2012 (2903 days ago). Please note=
: the symmetry is evaluated neglecting the delimiter symbol. </p>
</div></div>
<div class=3D"wp-block-group"><div class=3D"wp-block-group__inner-container=
">
<h4><strong>What=E2=80=99s next? </strong></h4>
<p>In February there are two additional palindromic dates in the short Amer=
ican format MMDDYY. These are 02/11/20 and 02/22/20. Depending on the used =
format we will experience further palindromic dates in the next year. In IS=
O YYYYMMDD format this will be 2021-12-02 which is also palindromic in the =
American format (12/02/2021). In the German DDMMYYYY format there will be t=
wo such dates in the near future, one in 2021: 12.02.2021 (same date as ind=
icated for the ISO format), and another one in 2022: 22.02.2022 (which is n=
ot palindromic in the ISO format). </p>
<p>People who use the short German date format DDMMYY will encounter anothe=
r symmetry this year on 02.11.20 (2020-11-02 =3D November 2nd, 2020). The p=
revious symmetrical date in this format was 21.11.12 (2012-11-21) which is =
almost 8 years ago (2903 days). The closest future symmetrical dates in thi=
s format will be 12.11.21 and 22.11.22. A little bit later on 12/11/21 and =
12/22/21 we see further symmetrical dates in the short American format MMDD=
YY.</p>
</div></div>
<div class=3D"wp-block-group"><div class=3D"wp-block-group__inner-container=
">
<h4><strong>Is it going on like this?</strong></h4>
<p>Why, no. After this accumulation of palindromic dates we will experience=
a long =E2=80=9Edry spell=E2=80=9C which will only end on 2030-03-02 (ISO =
format), 03/02/2030 (American format), 03/11/30 (short American format), 03=
.02.2030 (long German format), and 03.11.30 (short German format), respecti=
vely. See the tables below.</p>
</div></div>
<div class=3D"wp-block-group"><div class=3D"wp-block-group__inner-container=
">
<h4>By the way</h4>
<p>The very first palindromic date in ISO YYYYMMDD format after 1000-01-01 =
(Jan 01 1000) was 1001-10-01 (Oct 01 1001).</p>
<p>2020-02-02 is the 47<sup>th</sup> palindromic date in the YYYYMMDD forma=
t after the reference date 1000-01-01. In total, 372579 days have passed si=
nce then. The 331<sup>st</sup> and very last such date before the year 1000=
0 is 9290-09-29 (Sep 29 9290). This will be the 3028132<sup>nd</sup> day af=
ter 1000-01-01 and therefore is still 2655553 days away (after 2020-02-02).=
</p>
<p>It is a little bit different in the DDMMYYYY format. The following appli=
es here: 02.02.2020 is the 67<sup>th</sup> palindromic date after the refer=
ence date 01.01.1000. The last possible symmetrical date before the year n=
umbers become five digits long one is 29.09.9092 which is the 335<sup>th</s=
up> such date in the list. It=E2=80=99s just the 2955814<sup>th</sup> day a=
fter 01.01.1000. </p>
<p><em>Hint</em>: Because of the Gregorian Calendar Reform of 1582, the num=
bers of days after 1001-01-01 are fictitious, strictly spoken. They are val=
id only then, if we adopt the reform for dates before 1582, subsequently. T=
o get the real number of days after =E2=80=98Jan 1 1000=E2=80=99 for years =
after 1582 subtract 5 from each term representing a date after 1582. This a=
pplies to all palindromic dates after the 43<sup>rd</sup> in YYYYMMDD forma=
t, and after the 61<sup>st</sup> in DDMMYYYY format. The value 5 comes from=
the 10 skipped =E2=80=9CGregorian=E2=80=9D dates between 1582-10-04 (Oct 4=
1582) and 1582-10-15 (Oct 15 1582) minus the 5 additional Julian leap days=
in the years 1000, 1100, 1300, 1400 and 1500 which are not Gregorian leap =
years. </p>
</div></div>
<div class=3D"wp-block-group"><div class=3D"wp-block-group__inner-container=
">
<h2>Useless knowledge?</h2>
<p>Do not ask about the benefits of these considerations and let me quote B=
ertolt Brecht: =E2=80=9EThinking is one of the greatest pleasures of the hu=
man race=E2=80=9C. Jean-Baptiste le Rond d=E2=80=99Alembert (you should kno=
w him; possibly you remember the convergence criterion for infinite series =
that was named after him) says it even more clearly: =E2=80=9EMathematics i=
s a kind of toy that nature has thrown at us for comfort and entertainment =
in the darkness=E2=80=9C. =E2=80=93 In Praise of Idleness.</p>
</div></div>
<div class=3D"wp-block-group"><div class=3D"wp-block-group__inner-container=
">
<div class=3D"wp-block-group"><div class=3D"wp-block-group__inner-container=
">
<h2>Tables</h2>
<p>Altogether, there are 331 palindromic dates in the YYYYMMDD format and 3=
35 such dates in the DDMMYYYY format (between the years 1000 and 9999). The=
following two tables show excerpts from the complete lists of dates for bo=
th formats. In both cases the symmetry is evaluated neglecting the delimite=
r symbol.</p>
</div></div>
<hr class=3D"wp-block-separator is-style-default">
<p><em>Excerpt of palindromic dates in the YYYYMMDD format.</em></p>
<figure class=3D"wp-block-table is-style-stripes"><table class=3D""><tbody>=
<tr><td>
<strong>#</strong>
</td><td>
<strong>Date</strong>
</td><td> <strong># of days after 1000-01-01</strong> </td></tr><tr><=
td>
<strong>1</strong>
</td><td>
10011001
</td><td>
638
</td></tr><tr><td>
<strong>2</strong>
</td><td>
10100101
</td><td>
3652
</td></tr><tr><td>
<strong>3</strong>
</td><td>
10111101
</td><td>
4321
</td></tr><tr><td>
<strong>4</strong>
</td><td>
10200201
</td><td>
7335
</td></tr><tr><td>
<strong>=E2=80=A6</strong>
</td><td>
=E2=80=A6
</td><td>
=E2=80=A6
</td></tr><tr><td>
<strong>44</strong>
</td><td>
20011002
</td><td>
365882
</td></tr><tr><td>
<strong>45</strong>
</td><td>
20100102
</td><td>
368896
</td></tr><tr><td>
<strong>46</strong>
</td><td>
20111102
</td><td>
369565
</td></tr><tr><td>
<strong>47</strong>
</td><td>
20200202
</td><td>
372579
</td></tr><tr><td>
<strong>48</strong>
</td><td>
20211202
</td><td>
373248
</td></tr><tr><td>
<strong>49</strong>
</td><td>
20300302
</td><td>
376260
</td></tr><tr><td>
<strong>50</strong>
</td><td>
20400402
</td><td>
379944
</td></tr><tr><td>
<strong>51</strong>
</td><td>
20500502
</td><td>
383626
</td></tr><tr><td>
<strong>52</strong>
</td><td>
20600602
</td><td>
387310
</td></tr><tr><td>
<strong>=E2=80=A6</strong>
</td><td>
=E2=80=A6
</td><td>
=E2=80=A6
</td></tr><tr><td>
<strong>326</strong>
</td><td>
92400429
</td><td>
3009717
</td></tr><tr><td>
<strong>327</strong>
</td><td>
92500529
</td><td>
3013399
</td></tr><tr><td>
<strong>328</strong>
</td><td>
92600629
</td><td>
3017083
</td></tr><tr><td>
<strong>329</strong>
</td><td>
92700729
</td><td>
3020765
</td></tr><tr><td>
<strong>330</strong>
</td><td>
92800829
</td><td>
3024449
</td></tr><tr><td>
<strong>331</strong>
</td><td>
92900929
</td><td>
3028132
</td></tr></tbody></table></figure>
<hr class=3D"wp-block-separator">
<p><em>Excerpt of palindromic dates in the DDMMYYYY format.</em></p>
<figure class=3D"wp-block-table is-style-stripes"><table class=3D""><tbody>=
<tr><td><strong> # </strong></td><td> <strong> Date </strong></td><t=
d><strong> # of days after 01.01.1000 </strong></td></tr><tr><td>
<strong>1</strong>
</td><td>
10011001
</td><td>
374
</td></tr><tr><td>
<strong>2</strong>
</td><td>
20011002
</td><td>
749
</td></tr><tr><td>
<strong>3</strong>
</td><td>
30011003
</td><td>
1124
</td></tr><tr><td>
<strong>4</strong>
</td><td>
01011010
</td><td>
3652
</td></tr><tr><td>
<strong>=E2=80=A6</strong>
</td><td>
=E2=80=A6
</td><td>
=E2=80=A6
</td></tr><tr><td>
<strong>65</strong>
</td><td>
11022011
</td><td>
369301
</td></tr><tr><td>
<strong>66</strong>
</td><td>
21022012
</td><td>
369676
</td></tr><tr><td>
<strong>67</strong>
</td><td>
02022020
</td><td>
372579
</td></tr><tr><td>
<strong>68</strong>
</td><td>
12022021
</td><td>
372955
</td></tr><tr><td>
<strong>69</strong>
</td><td>
22022022
</td><td>
373330
</td></tr><tr><td>
<strong>70</strong>
</td><td>
03022030
</td><td>
376233
</td></tr><tr><td>
<strong>71</strong>
</td><td>
13022031
</td><td>
376608
</td></tr><tr><td>
<strong>72</strong>
</td><td>
23022032
</td><td>
376983
</td></tr><tr><td>
<strong>73</strong>
</td><td>
04022040
</td><td>
379886
</td></tr><tr><td>
<strong>=E2=80=A6</strong>
</td><td>
=E2=80=A6
</td><td>
=E2=80=A6
</td></tr><tr><td>
<strong>330</strong>
</td><td>
08099080
</td><td>
2951410
</td></tr><tr><td>
<strong>331</strong>
</td><td>
18099081
</td><td>
2951785
</td></tr><tr><td>
<strong>332</strong>
</td><td>
28099082
</td><td>
2952160
</td></tr><tr><td>
<strong>333</strong>
</td><td>
09099090
</td><td>
2955063
</td></tr><tr><td>
<strong>334</strong>
</td><td>
19099091
</td><td>
2955438
</td></tr><tr><td>
<strong>335</strong>
</td><td>
29099092
</td><td>
2955814
</td></tr></tbody></table></figure>
</div></div>
<div class=3D"wp-block-group"><div class=3D"wp-block-group__inner-container=
">
<p>Finally, here are the complete lists of symmetrical dates in the DDMMYY =
and in the MMDDYY format: The symmetry is valid with and without the delimi=
ter symbol.</p>
<hr class=3D"wp-block-separator">
<p><em> All palindromic dates in the DDMMYY format.</em></p>
<figure class=3D"wp-block-table is-style-stripes"><table class=3D""><tbody>=
<tr><td>
<strong>#</strong><strong></strong>
</td><td> <strong>Date </strong></td><td> <strong> # of days after 0=
1.01.00 </strong></td></tr><tr><td>
<strong>1</strong>
</td><td>
101101
</td><td>
619
</td></tr><tr><td>
<strong>2</strong>
</td><td>
201102
</td><td>
994
</td></tr><tr><td>
<strong>3</strong>
</td><td>
301103
</td><td>
1369
</td></tr><tr><td>
<strong>4</strong>
</td><td>
011110
</td><td>
3897
</td></tr><tr><td>
<strong>5</strong>
</td><td>
111111
</td><td>
4272
</td></tr><tr><td>
<strong>6</strong>
</td><td>
211112
</td><td>
4648
</td></tr><tr><td>
<strong>7</strong>
</td><td>
021120
</td><td>
7551
</td></tr><tr><td>
<strong>8</strong>
</td><td>
121121
</td><td>
7926
</td></tr><tr><td>
<strong>9</strong>
</td><td>
221122
</td><td>
8301
</td></tr><tr><td>
<strong>10</strong>
</td><td>
031130
</td><td>
11204
</td></tr><tr><td>
<strong>11</strong>
</td><td>
131131
</td><td>
11579
</td></tr><tr><td>
<strong>12</strong>
</td><td>
231132
</td><td>
11955
</td></tr><tr><td>
<strong>13</strong>
</td><td>
041140
</td><td>
14858
</td></tr><tr><td>
<strong>14</strong>
</td><td>
141141
</td><td>
15233
</td></tr><tr><td>
<strong>15</strong>
</td><td>
241142
</td><td>
15608
</td></tr><tr><td>
<strong>16</strong>
</td><td>
051150
</td><td>
18511
</td></tr><tr><td>
<strong>17</strong>
</td><td>
151151
</td><td>
18886
</td></tr><tr><td>