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Cubic Calendars

September 23, 2012

Two weeks ago, I suggested making a calendar with 7 cubes (in a “ddmmmyy” format). You might use this to make one for yourself, or perhaps as a gift for someone else.

This is actually not too hard to do in English. But it does turn out to be a very nicely balanced problem, with each part (‘dd’, ‘mmm’ and ‘yy’) needing some thought.

The day of the month with two cubes: ‘dd’

Even this part of the calendar is not trivial.

Both cubes need faces with each of 0, 1 and 2, for use as a ‘tens’ character, in combination with another digit from the other cube. Luckily for our purposes here, all months have less than 33 days. Otherwise we would need a 3 on each cube as well, which would make this impossible on two cubes.

That leaves six faces for the digits 3, 4, 5, 6, 7, 8 and 9. Once again we are fortunate, in that 6 and 9 are good inverted copies of each other.

So the faces of the two cubes are

3 6
0 1 2 … and … 0 1 2
4 7
5 8

Arabic-Indic numerals (٠‎ ١‎ ٢‎ ٣‎ ٤‎ ٥‎ ٦‎ ٧‎ ٨‎ ٩‎ ٧ except that can use the same arrangement and ٨ (7 and 8) are the invertible digits.

٣ ٦
٠ ١ ٢ … and … ٠ ١ ٢
٤ ٧‎
٥‎ ٩

… and in Eastern Arabic-Indic numerals, for Persian and Urdu users – only the 4, 5 and 6 characters are different to Arabic-Indic.

٣ ۶
٠ ١ ٢ … and … ٠ ١ ٢
۴ ٧‎
۵‎ ٩

The year with two cubes: ‘yy’

This is the open-ended part of the calendar. We would like it to remain usable for as long as possible so, starting from 12 (2012), how many years can we squeeze onto two cubes?

Similarly to the day-of-the-month cubes, we can give both cubes faces with each of 1, 2 and 3, for use as a ‘tens’ character, in combination with another digit from the other cube.

That leaves six faces for the digits 0, 4, 5, 6, 7, 8 and 9.

So the faces of the two cubes are

0 6
1 2 3 … and … 1 2 3
4 7
5 8

… and in Arabic-Indic numerals …

٠ ٦
١ ٢ ٣ … and … ١ ٢ ٣
٤ ٧‎
٥‎ ٩

… and in Eastern Arabic-Indic numerals …

٠ ۶
١ ٢ ٣ … and … ١ ٢ ٣
۴ ٧‎
۵ ٩

Both allow for all years up to 2043. If you wait until 2016 to make one, you can change the digits to allow up to 2054.

The month: ‘mmm’ with three cubes

I got myself into deep water here, once I started looking at other languages. In 1980, I worked this out for a few European languages (but of course lost the solutions). I now decided to try to do the same for (most of) the languages offered by Google Translate, plus a few more, such as Pidgin.

Some arrangements are a stretch, needing to make dual use of characters which are not a perfect fit – in fact quite imperfect at times.

On top of all that, I know little or nothing of some of the non-Roman alphabets, so I let a spreadsheet figure out the arrangements for me (see here for details of how).

Dual characters

To gauge the relative character distortion of any solution the spreadsheet found, it scored the dual uses as in the table below (lower scores are a better fit). In each case, the secondary character(s) should be adapted to look acceptably like the primary character.

Alphabet Prim.
char
Sec
char
Score Uses Comment
Roman d p 0 25 Good fit
n u 0 24 Good fit
b g 1 16 Curl the stroke of the ‘b’
a e 2 18 Like an ‘a’ without the tail.
m w 2 1 (Maltese only)
c n-u 3 6 e.g. ‘∩’ for all three characters.
á e 4 1 (Icelandic only)
í l 4 1 (Czech only)
f j 4 1 (German only)
Cyrillic а е 2 4 Again, like an ‘a’ without the tail.
с п 3 2 Make the ‘п’ a little rounded.
с л 4 2 Make the ‘л’ a little rounded.
Armenian Ո Ս 0 1 Good fit
Ո Մ- Ա 4 1 Make the stroke of ‘Մ’ or ‘Ա’ small enough to ignore when inverted.
Ի Վ 2 1 To my untrained eye, this is OK.
Georgian ვ-კ 2 1 Also looks OK.
4 1 Some sort of halfway character?
Yiddish פ ט 4 1 (Yiddish only)

Somebody must be a better artist than me – contributions for visually pleasing dual characters please.

Multiple characters on one cube face

Some languages have months beginning with the same three characters. To differentiate (or for other reasons as described), use multiple characters on one face, as follows:

Language Months English Comment
Amharic (many) (many) Each of p’, k’ and t’ are used in some months, so use these to allow for three full characters for each month.
Armenian ՀՈՒՆՎԱՐ January Use ‘ՀՈՒ‘ on first cube.
ՀՈՒՆԻՍ June
ՀՈՒԼԻՍ July
Azerbaijani iyun June Use ‘iy’ on first cube
iyul July
Estonian juuni June Use ‘uu’ on second cube.
juuli July
Lithuanian rugpjūtis August Use ‘ru’ on first cube.
rugsėjis September
Thai เมษายน April Use ‘เม’ on first cube, but only so all months then have ‘two cube’ abbreviated forms.
Xhosa (many) (many) Either ‘eye’ or ‘eyo’ are used for some months as a prefixes, meaning (I think) ‘month’.

Month cube solutions

In the table below

  • The Months column lists the translations as provided by Google Translate. Some of the variable capitalisations are strange and may be incorrect, so any corrections are welcome. Any translations into other languages are also welcome and will be added to the table if possible.
  • The Short months column shows required characters for the three cube faces. Mostly (but not always – see above), these are the first three characters of the month.
  • The Cube letters column shows the arrangement of the characters across the three cubes. Occasionally, as mentioned above, more than one character may be required for a single cube face. Some cubes may also need a blank face, as some months (or their abbreviations) have only two characters. I have not used the semi-graphical presentation above in the ‘dd’ and ‘yy’ sections, otherwise this page would have gone on forever.
  • The Notes column mentions the dual character (d-p etc) and multiple character uses (‘uu’ etc, as above) taken as part of the solution.

So, down to solutions…

To let you get quickly to the language you want, click on the link in the table below.

Afrikaans Danish Haitian Creole Maltese Thai
Albanian Dutch Hungarian Norwegian Turkish
Amharic English Icelandic Pidgin (PNG) Ukrainian
Arabic Esperanto Indonesian Portuguese Urdu
Armenian Estonian Irish Romanian Welsh
Azerbaijani Farsi (Persian) Italian Russian Xhosa
Basque Filipino Japanese Serbian Yiddish
Belarusian Finnish Korean Slovak
Bulgarian French Latin Slovenian
Catalan Galician Latvian Somali
Chinese Georgian Lithuanian Spanish
Croatian German Macedonian Swahili Islamic
Czech Greek Malay Swedish Coptic

Language

Months Short

months

Cube
letters
Notes

English

January
February
March
April
May
June
July
August
September
October
November
December
j a n
f e b
m a r
a p r
m a y
j u n
j u l
a u g
s e p
o c t
n o v
d e c
d f g
j m o
d-p
e l n
r t y
n-u
a b c
s u v

Afrikaans

Januarie
Februarie
Mart
April
Mei
Junie
Julie
Augustus
September
Oktober
November
Desember
j a n
f e b
m a a
a p r
m e i
j u n
j u l
a u g
s e p
o k t
n o v
d e s
a e l
t u v
b j m
o r s
b-g
a d f
i k n
d-p, n-u

Albanian

janar
shkurt
mars
prill
mund
qershor
korrik
gusht
shtator
tetor
nëntor
dhjetor
j a n
s h k
m a r
p r i
m u n
q e r
k o r
g u s
s h t
t e t
n ë n
d h j
d k m
n q t
d-p, n-u
ë j r
m s t
a g h
i n o
a-e, n-u

Amharic

mäskäräm
t’ïk’ïmt
hïdar
tahsas
t’ïr
yäkatit
mägabit
miyaziya
gïnbot
säne
hämle
nähäse
p’agume
m ä s
t’ ï k’
h ï d
t a h
t’ ï r
y ä k
m ä g
m i y
g ï n
s ä n
h ä m
n ä h
p’ a g
ä g h
i k’ r
Ethiopia has its own calendar with 13 months in a year, starting with mäskäräm (September) and ending with an extra month p’agume, which has 5 or 6 days.Each of p’, k’ and t’ are used, so that three full characters are displayed for each month.
a d k
m n t’
ä ï p’
s t y

Arabic

يناير
فبراير
مسيرة
أبريل
قد
يونيو
يوليو
أغسطس
سبتمبر
أكتوبر
نوفمبر
ديسمبر
ي ن ا
ف ب ر
م س ي
أ ب ر
ق د
ي و ن
ي و ل
أ غ س
س ب ت
أ ك ت
ن و ف
د ي س
ا ب م
د و
ن ر س
ل ك
ي ف ب
ق غ ت

Armenian
(upper case)

ՀՈՒՆՎԱՐ
ՓԵՏՐՎԱՐ
ՄԱՐՏ
ԱՊՐԻԼ
ՄԱՅԻՍ
ՀՈՒՆԻՍ
ՀՈՒԼԻՍ
ՕԳՈՍՏՈՍ
ՍԵՊՏԵՄԲԵՐ
ՀՈԿՏԵՄԲԵՐ
ՆՈՅԵՄԲԵՐ
ԴԵԿՏԵՄԲԵՐ
ՀՈՒ Ն Վ
Փ Ե Տ
Մ Ա Ր
Ա Պ Ր
Մ Ա Յ
ՀՈՒ Ն Ի
ՀՈՒ Լ Ի
Օ Գ Ո
Ս Ե Պ
Հ Ո Կ
Ն Ո Յ
Դ Ե Կ
ՀՈՒ Փ Մ
Պ Օ Դ
Ո-Մ (OK?)“ՀՈՒ” on one cube face (for ՀՈՒՆՎԱՐ, ՀՈՒՆԻՍ, ՀՈՒԼԻՍ)
Ե Ր Յ
Ի Գ Հ
Ի- Վ (OK?)
Ն Տ Ա
Լ Ո Կ
Ո-Ս

Azerbaijani

yanvar
fevral
mart
aprel
may
iyun
iyul
avqust
sentyabr
oktyabr
noyabr
dekabr
y a n
f e v
m a r
a p r
m a y
iy u n
iy u l
a v q
s e n
o k t
n o y
d e k
a d f
iy o s
“iy” on one cube face (for iyun, iyul)
e q r
t u y
k l n
m p v

Basque

Urtarrila
Otsaila
Martxoa
Apirila
Maiatza
June
Uztaila
Abuztua
Iraila
Urria
Azaroa
abenduaren
u r t
o t s
m a r
a p i
m a i
j u n
u z t
a b u
i r a
u r r
a z a
a b e
a e n
s u
There’s even a spare face on the first cube.
a m p
r t u
b i j
o r z

Belarusian

студзеня
лютага
Сакавік
красавіка
Май
чэрвеня
ліпеня
Жнівень
верасня
Кастрычнік
лістапада
сьнежня
c т у
л ю т
с а к
к р а
м а й
ч э р
л і п
ж н і
в е р
к а с
л і с
с ь н
у ю с
р м ж
c-п (OK?)
с к й
ч н в
c-л (OK??)
т а э
і е ь

Bulgarian

януари
февруари
март
април
май
юни
юли
август
септември
октомври
ноември
декември
я н у
ф е в
м а р
а п р
м а й
ю н и
ю л и
а в г
с е п
о к т
н о е
д е к
н в р й
с т д
с-л
у м а
ю г о
а -е
я ф а
п и к
а -е
This is no solution – the first cube has 7 letters to fit in.Can you find one?

Catalan

gener
febrer
març
abril
maig
juny
juliol
agost
setembre
octubre
novembre
desembre
g e n
f e b
m a r
a b r
m a i
j u n
j u l
a g o
s e t
o c t
n o v
d e s
a c e
l n
f i n
o r s
n-u
b d j
m t v
b-g

Chinese
(simplified)

一月
二月
三月
四月
五月
六月
七月
八月
九月
十月
十一月
十二月
月 一
二 三
Each cube also has one or two blank faces.This could almost – but not quite – fit onto two cubes.
月 四
五 六
月 七 八
九 十

Croatian

siječanj
veljača
ožujak
travanj
svibanj
lipanj
srpanj
kolovoz
rujan
listopad
studeni
prosinac
s i j
v e l
o ž u
t r a
s vi
l i p
s r p
k o l
r u j
l i s
s t u
p r o
a i j o
s v
There’s even a spare face on the third cube.
e k p
s t u
i l r
u ž

Czech

leden
únor
březen
duben
květen
červen
červenec
srpen
září
říjen
listopad
prosinec
l e d
ú n o
b ř e
d u b
k v ě
č e r
č e r
s r p
z á ř
ř í j
l i s
p r o
b í n
r v z
í-l
d ú ř
k č i
d-p
á ě j
o s u
á-e
The diacritics are the spoilers here – any better solutions?

Danish

januar
februar
marts
april
maj
juni
juli
august
september
oktober
november
december
j a n
f e b
m a r
a p r
m a j
j u n
j u l
a u g
s e p
o k t
n o v
d e c
a c f
o s u
b d k
l m n
d-p, n-u
e g j
r t v

Dutch

januari
februari
maart
april
mei
juni
juli
augustus
september
oktober
november
december
j a n
f e b
m a a
a p r
m e i
j u n
j u l
a u g
s e p
o k t
n o v
d e c
b d l
m n t
b-g, d-p
a f j
k s v
a-e
a c i
o r u
a-e

Esperanto

januaro
februaro
marto
aprilo
majo
junio
julio
aŭgusto
septembro
oktobro
novembro
decembro
j a n
f e b
m a r
a p r
m a j
j u n
j u l
a ŭ g
s e p
o k t
n o v
d e c
ŭ d f
k m n
d-p, n-u
b c j
o r s
b-g
a e l
n t v

Estonian

jaanuar
veebruar
märts
aprill
mai
juuni
juuli
august
september
oktoober
november
detsember
j a a
v e e
m ä r
a p r
m a i
j uu n
j uu l
a u g
s e p
o k t
n o v
d e t
a ä l
n s t
a-e, n-u
d g j
k m v
d-p
a e i
o r uu
“uu” on one cube face (for juuni, juuli)

Farsi
(Persian)

ژانویه
فوریه
مارس
آوریل
مه
ژوئن
جولای
اوت
سپتامبر
اکتبر
نوامبر
دسامبر
ژ ا ن
ف و ر
م ا ر
آ و ر
م ه
ژ و ئ
ج و ل
ا و ت
س پ ت
ا ک ت
ن و ا
د س ا
ژ و م
ل ت د
There’s even a spare face on the third cube.
ا ف ه
ئ ج پ
ن ر و
س ک

Filipino

Enero
Pebrero
Marso
Abril
Mayo
Hunyo
Hulyo
Agosto
Setyembre
Oktubre
Nobyembre
Disyembre
e n e
p e b
m a r
a b r
m a y
h u n
h u l
a g o
s e t
o k t
n o b
d i s
b d e
h m t
b-g, d-p
e i o
r u y
a b k
l n s

Finnish

tammikuu
helmikuu
maaliskuu
huhtikuu
toukokuu
kesäkuu
heinäkuu
elokuu
syyskuu
lokakuu
marraskuu
joulukuu
t a m
h e l
m a a
h u h
t o u
k e s
h e i
e l o
s y y
l o k
m a r
j o u
e h j
m o y
a h k
o t y
a i l
r s u

French

janvier
février
mars
avril
mai
juin
juillet
août
septembre
octobre
novembre
décembre
j a n
f é v
m a r
a v r
m a i
j u i
j u i
a o û
s e p
o c t
n o v
d é c
j m o
p v é
a d i
r t v
a-e
a c f
n s û
n-u

Galician

xaneiro
febreiro
marzo
abril
maio
xuño
xullo
agosto
setembro
outubro
novembro
decembro
x a n
f e b
m a r
a b r
m a i
x u ñ
x u l
a g o
s e t
o u t
n o v
d e c
a c f
n t x
a i l
o r ñ
a-e
b d m
n s v
b-g, n-u

Georgian

იანვარი
თებერვალი
მარტი
აპრილი
მაისი
ივნისი
ივლისი
აგვისტო
სექტემბერი
ოქტომბერი
ნოემბერი
დეკემბერი
ი ა ნ
თ ე ბ
მ ა რ
ა პ რ
მ ა ი
ი ვ ნ
ი ვ ლ
ა გ ვ
ს ე ქ
ო ქ ტ
ნ ო ე
დ ე კ
ი ბ რ
გ ქ კ
კ-ო
ა ე ნ
ლ ტ დ
ნ მ პ
ვ ს ე
პ-ო, ნ-თ (OK?)

German

Januar
Februar
März
April
Mai
Juni
Juli
August
September
Oktober
November
Dezember
j a n
f e b
m ä r
a p r
m a i
j u n
j u l
a u g
s e p
o k t
n o v
d e z
a f i
o s ä
a-e, f-j
a k r
u v z
a-e
b d l
m n t
b-g, d-p
Not much good, with the f-j dual use – any better ones?

Greek

ιανουάριοσ
φεβρουάριοσ
μάρτιοσ
απρίλιοσ
μάιοσ
ιούνιοσ
ιούλιοσ
αύγουστοσ
σεπτέμβριοσ
οκτώβριοσ
νοέμβριοσ
δεκέμβριοσ
ι α ν
φ ε β
μ ά ρ
α π ρ
μ ά ι
ι ο ύ
ι ο ύ
α ύ γ
σ ε π
ο κ τ
ν ο έ
δ ε κ
ά β κ
ν π ύ
ε έ ι
ρ τ γ
α δ φ
μ ο σ

Haitian Creole

janvye
fevriye
mas
avril
me
jen
jiyè
out
septanm
oktòb
novanm
desanm
j a n
f e v
m a s
a v r
m e
j e n
j i y
o u t
s e p
o k t
n o v
d e s
d j s
t v
d-p
a e f
i o s
e k m
n r y
n-u
The first cube must have a space as well, to allow for ‘me’.

Hungarian

január
február
március
április
május
június
július
augusztus
szeptember
október
november
december
j a n
f e b
m á r
á p r
m á j
j ú n
j ú l
a u g
s z e
o k t
n o v
d e c
á c f
k l z
c-n-u
a d m
o s ú
a-e, d-p
b e j
r t v
b-g

Icelandic

janúar
febrúar
mars
apríl
maí
júní
júlí
ágúst
September
október
nóvember
desember
j a n
f e b
m a r
a p r
m a í
j ú n
j ú l
á g ú
s e p
o k t
n ó v
d e s
a f o
s v ú
á í j
k ó r
á-e
b d l
m n t
b-g, d-p

Indonesian

Januari
Februari
Maret
April
Mei
Juni
Juli
Agustus
September
Oktober
November
Desember
j a n
f e b
m a r
a p r
m e i
j u n
j u l
a g u
s e p
o k t
n o v
d e s
b d g
j m o
d-p
a e k
l n v
f i n
r s t
n-u

Irish

eanáir
Feabhra
Márta
Aibreán
Bealtaine
Meitheamh
Iúil
Lúnasa
Meán Fómhair
Deireadh Fómhair
Samhain
nollaig
e a n
f e a
m á r
a i b
b e a
m e i
i ú i
l ú n
m e ád e i

s a m
n o l

a f i
m o ú
d e i
n r s
a á b
e l ú

Italian

gennaio
febbraio
marzo
aprile
maggio
giugno
luglio
agosto
settembre
ottobre
novembre
dicembre
g e n
f e b
m a r
a p r
m a g
g i u
l u g
a g o
s e t
o t t
n o v
d i c
b c l
n r t
b-g, n-u
a e i
t u v
d f g
m o s
d-p

Japanese

1月
2月
3月
4月
5月
6月
7月
8月
9月
10月
11月
12月
1 月
2 月
3 月
4 月
5 月
6 月
7 月
8 月
9 月
1 0 月
1 1 月
1 2 月
月 0
1 2 3
Each cube must have a blank face. With this arrangment, a leading zero could also be used instead of the blank.(Note that the 9 is redundant and could be omitted.)
月 4
5 6 7
月 0
1 8 9

Korean

1월
2월
행진
4월
할 수있다
6월
7월
위엄있는
9월
10월
11월
12월
1월
2월
행진
4월
할 수있다
6월
7월
위엄있는
9월
10월
11월
12월
월 1 있다
0 2 있는
월 1 6
4 7 할
행진 수
위엄
A number of two character cube faces here: “있다”, “있는”, “행진” and “위엄”.

Latin

January
February
March
Aprilis
Jube
June
July
August
September
October
November
December
j a n
f e b
m a r
a p r
j u b
j u n
j u l
a u g
s e p
o c t
n o v
d e c
c e g
j r v
a b c
o s u
d f l
m n t
d-p, n-u

Latvian

janvāris
februāris
marts
aprīlis
maijs
jūnijs
jūlijs
augusts
septembris
oktobris
novembris
decembris
j a n
f e b
m a r
a p r
m a i
j ū n
j ū l
a u g
s e p
o k t
n o v
d e c
a c f
k l s
c-n-u
a i r
t ū v
a-e
b d g
j m o
d-p

Lithuanian

sausis
vasaris
kovas
balandis
gegužės
birželis
liepa
rugpjūtis
rugsėjis
spalis
lapkritis
gruodis
s a u
v a s
k o v
b a l
g e g
b i r
l i e
x g p
x g s
s p a
l a p
g r u
a e g
i o ru
Note the ‘ru’ on one cube face (for rugpjūtis, rugsėjis)
e g k
l r s
b g l
p u v

Macedonian

јануари
февруари
март
април
мај
јуни
јули
август
септември
октомври
ноември
декември
ј а н
ф е в
м а р
а п р
м а ј
ј у н
ј у л
а в г
с е п
о к т
н о е
д е к
а ф у
с о д
ј е р
г т
н в м
п л к

Malay

januari
februari
Mac
April
Mei
Jun
Julai
ogos
September
Oktober
November
Disember
j a n
f e b
m a c
a p r
m e i
j u n
j u l
o g o
s e p
o k t
n o v
d i s
f j m
o r s
a-e
b c i
k l p
b-g, c-n
a d o
t u v
a-e

Maltese

jannar
Frar
Marzu
April
Mejju
Ġunju
Lulju
Awissu
settembru
Ottubru
novembru
Diċembru
j a n
f r a
m a r
a p r
m e j
ġ u n
l u l
a w i
s e t
o t t
n o v
d i ċ
d f m
n o s
d-p, m-w, n-u
a ġ l
t v ċ
a-e
i j l
n r t

Norwegian

januar
februar
mars
april
mai
juni
juli
august
september
oktober
november
desember
j a n
f e b
m a r
a p r
m a i
j u n
j u l
a u g
s e p
o k t
n o v
d e s
b d l
m n t
d-p, n-u
a f k
s u v
e g i
j o r

Pidgin (PNG)

Janueri
Februeri
Mas
Epril
Me
Jun
Julai
Ogas
Septemba
Oktoba
Novemba
Desemba
j a n
f e b
m a s
e p r
m e
j u n
j u l
o g a
s e p
o k t
n o v
d e s
a e l
t u v
d f g
k m n
d-p, n-u
b j o
r s
Note blank face for ‘me

Portuguese

janeiro
fevereiro
março
abril
maio
junho
julho
agosto
setembro
outubro
novembro
dezembro
j a n
f e v
m a r
a b r
m a i
j u n
j u l
a g o
s e t
o u t
n o v
d e z
a j m
t v z
e i l
n o r
a b d
f n s
b-g, n-u

Romanian

ianuarie
februarie
martie
aprilie
mai
iunie
iulie
august
septembrie
octombrie
noiembrie
decembrie
i a n
f e b
m a r
a p r
m a i
i u n
i u l
a u g
s e p
o c t
n o i
d e c
b d l
m n t
d-p, n-u
e g i
o r
a c f
o s u

Russian

январь
февраль
март
апрель
май
июнь
июль
август
сентябрь
октябрь
ноябрь
декабрь
я н в
ф е в
м а р
а п р
м а й
и ю н
и ю л
а в г
с е н
о к т
н о я
д е к
н ф р
а л к
в м и
с о д
с- п
я а й
ю г т
а -е

Serbian

јануар
фебруар
март
април
мај
јун
јул
август
септембар
октобар
новембар
децембар
ј а н
ф е б
м а р
а п р
м а ј
ј у н
ј у л
а в г
с е п
о к т
н о в
д е ц
ј б р в
с к ц
а ф м
п у о
а -е
н е а л
г т д
This is not a solution – the first and third cubes have 7 letters to fit in.Can you find one? I reckon Scott Kim could.

Slovak

január
február
marec
apríl
máj
jún
júl
august
septembra
október
november
december
j a n
f e b
m a r
a p r
m á j
j ú n
j ú l
a u g
s e p
o k t
n o v
d e c
a c o
s á ú
a-e
d f k
l m n
d-p, n-u
b e j
r t v
b-g

Slovenian

januar
februar
marec
april
maja
junij
julij
avgust
september
oktober
november
december
j a n
f e b
m a r
a p r
m a j
j u n
j u l
a v g
s e p
o k t
n o v
d e c
a b c
l n o
a-e
d f g
m n t
d-p, n-u
e j k
r s v

Somali

Jannaayo
Febraayo
Maarso
Abriil
Maajo
Juun
Luulyo
Agoosto
Sibtambar
Oktoobar
Noofembar
Disembar
j a n
f e b
m a a
a b r
m a a
j u u
l u u
a g o
s i b
o k t
n o o
d i s
a f k
n r s
n-u
a e i
o t u
b d j
l m o
b-g

Spanish

enero
febrero
marzo
abril
mayo
junio
julio
agosto
septiembre
octubre
noviembre
diciembre
e n e
f e b
m a r
a b r
m a y
j u n
j u l
a g o
s e p
o c t
n o v
d i c
e i j
o r y
a d f
l n t
a-e, d-p
b c m
n s v
b-g, n-u

Swahili

Januari
Februari
Machi
Aprili
Mei
Juni
Julai
Agosti
Septemba
Oktoba
Novemba
Desemba
j a n
f e b
m a c
a p r
m e i
j u n
j u l
a g o
s e p
o k t
n o v
d e s
a c i
j k v
a-e
a f o
r s u
a-e
b d l
m n t
b-g, d-p

Swedish

januari
februari
mars
april
maj
juni
juli
augusti
september
oktober
november
december
j a n
f e b
m a r
a p r
m a j
j u n
j u l
a u g
s e p
o k t
n o v
d e c
a c f
o s u
b d k
l m n
d-p, n-u
e g j
r t v

Thai

มกราคม
กุมภาพันธ์
มีนาคม
เมษายน
พฤษภาคม
มิถุนายน
กรกฎาคม
สิงหาคม
กันยายน
ตุลาคม
พฤศจิกายน
ธันวาคม
ม.ค.
ก.พ.
มี.ค.
เม.ย.
พ.ค.
มิ.ย.
ก.ค.
ส.ค.
ก.ย.
ต.ค.
พ.ย.
ธ.ค.
เม. ม. พ.
ย. ต.
Note the paired characters เม.
ม. ค. มี.
มิ. ธ.
ม. ก.
ย. ส.
Each cube has a blank face.This arrangement uses abbreviated month names. See here for details.

Turkish

Ocak
Şubat
Mart
Nisan
Mayıs
Haziran
Temmuz
Ağustos
Eylül
Ekim
Kasım
Aralık
o c a
ş u b
m a r
n i s
m a y
h a z
t e m
a ğ u
e y l
e k i
k a s
a r a
c k r
t y z
c-n-u
a ş s
h e ğ
a b i
l m o

Ukrainian

січень
лютий
Березень
Квітень
травень
Червень
Липень
Серпень
вересень
Жовтень
Листопад
грудень
с і ч
л ю т
б е р
к в і
т р а
ч е р
л и п
с е р
в е р
ж о в
л и с
г р у
с т р
к п ж
ч л б
в р у
і ю а
и о г
а- е

Urdu

جنوری
فروری
مارچ
اپریل
مئی
جون
جولائی
اگست
ستمبر
اکتوبر
نومبر
دسمبر
ج ن و
ف ر و
م ا ر
ا پ ر
م ئ ی
ج و ن
ج و ل
ا گ س
س ت م
ا ک ت
ن و م
د س م
ج ف م
پ گ ک
و ر ئ
س ت د
ن و ا ی
ل س

Welsh

Ionawr
Chwefror
Mawrth
Ebrill
Mai
Mehefin
Gorffennaf
Awst
Medi
Hydref
Tachwedd
Rhagfyr
i o n
c h w
m a w
e b r
m a i
m e h
g o r
a w s
m e d
h y d
t a c
r h a
a c e
g n y
a b h
m o s
d h i
r t w

Xhosa

ymqungu
ymdumba
ykwindla
utshazimpuzi
ucanzibe
isilimela
jntlaba
jthupha
ymsintsi
jdwarha
jnkanga
ymnga
eyo m q
eyo m d
eyo k w
u t s
u c a
i s i
eye n t
eye t h
eyo m s
eye d w
eye n k
eyo m n
a h n s
w eyo
Both ‘eye’ and ‘eyo’ are like prefixes, meaning (I think) month.
c d i
k m t
i m q u
eye eyo

Yiddish

יאַנואַר
פעברואַר
מאַרץ
אַפּריל
מייַ
יוני
יולי
ויגוסט
סעפּטעמבער
אָקטאָבער
נאָוועמבער
דעצעמבער
נ אַ י
ב ע פ
ר אַ מ
ר פּ אַ
יַ י מ
נ ו י
ל ו י
ג י ו
פּ ע ס
ט ק אָ
ו אָ נ
צ ע ד
י ב ר
ס אָ ד
נ ע מ פּ
ל ג ק
אַ פ יַ
ו פּ צ
פ- ט

Calendar

Months Short
months
Cube
letters
Notes

Islamic

MuharramSafar

Rabi I

Rabi II

Jumada I

Jumada II

Rajab

Shabaan

Ramadan

Shawwal

Dhu al-Qa’ada

Dhu al-Hijja

m u h

s a f

r a 1

r a 2

j u 1

j u 2

r a j

s h a

r a m

s h w

q i ‘

h i j

1 2 a
i m w
h q r
s u
‘ a f
h j

Coptic

ThooutPaopeAthor

Koiak

Tobe

Meshir

Paremotep

Parmoute

Pashons

Paone

Epep

Mesore

Epagomene

t h o

p a o

a t h

k o i

t o b

m e s

p r e

p r m

p a s

p a n

e p e

m s r

e p a

a b c
l s t
c-n
ŭ e j
k r v
d f g
m o u
d-p
Note the 13th month Epagomene.

All improvements to the above will be gratefully received and acknowledged.

What the spreadsheet did…

I developed an Excel spreadsheet to do the work for me, using a very simplistic genetic algorithm. I started with an arbitrary allocation of the three characters of each month to the three cubes, then moved the characters from two or three months around to see if the new arrangement used the letters more efficiently (i.e. with less duplication of letters across the cubes). The more efficient of the two arrangements was then used as the new basis for a random reassignment. For each solution request I made (i.e. pressing the <F9> “Excel refresh” key), the spreadsheet repeated this arrangement comparison 1200 times. I got bored after about 50 refresh requests, but this usually provided ample opportunity to produce results with no more than six characters per cube.

I could also adjust which dual character uses were permitted (see Dual Characters above).

e h j m o y
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8 Comments
  1. I made a cube calendar using this and it works beautifully! Was a great birthday present for mum 🙂
    Now I have to make one for myself as well

    • Know of any simplified Bengali scripts, which might be amenable to such treatment? I did look at Bengali, but saw no way to do it.

  2. JP Ikäheimonen permalink

    The Finnish translation for May is incorrect. The month May is in Finnish ‘toukokuu’. The translation given here (‘saattaa’) is a translation of the word may (as in it may happen).

  3. Funny thing about the year digits. If you’re willing to be a tad more deliberate, there’s now a 2 that inverts to a 3, plus a 4 that inverts to a 7. That set of seven glyphs allows for 88 consecutive two-digit endings, 12-99, by leaving 0 off one cube and 1 off the other.

    Link/plug: http://cyrebjr.livejournal.com/32522.html

  4. Heya i am for the first time here. I found this
    board and I find It really useful & it helped me out much.
    I hope to give something back and help others like you aided me.

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