Post on 11-Feb-2018
7/23/2019 Polgonos Regulares Estrelados y de Fantasa
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PEFAKEOEW ZNK^FHZNWNWRZNFFHBEW Q BNIHORHWH/
Ghzfew Dnzoo Yafgdnw Zeco
7/23/2019 Polgonos Regulares Estrelados y de Fantasa
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Izc~fhw phzh gfg~few pzachzaew q
wng~obhzaew bn pefkeoew znk~fhznw aowgzarew
no ~oh gazg~oinznogah bn zhbae geoegabe/
AWOJ 811/1:7
Geowrz~ggao knecrzagh bn pefkeoew
znk~fhznw/
AWOJ :0:/748
Bn fh izc~fh bnf znh bn ~o pefkeoe
znk~fhz hf Rneznch bn Yafgdnw/
AWOJ :0:/74:
Geowrz~ggao q gfg~few bn pefkeoew
znk~fhznw goghyew nwrznffhbew q w~w
ihorhwhw/ BNZNGDEW ZNWNZYHBEW/
PZEDAJABH W^ ZNPZEB^GGAO/
BBA/ :02/090/
Bn fh izc~fh bnf gfg~fe bnf znh bn ~o
pefkeoe znk~fhz nwrznffhbe hf Rneznch bn
Yafgdnw AA/ BNZNGDEW ZNWNZYHBEW/
PZEDAJABH W^ ZNPZEB^GGAO/
BBA/ :02/098/
GEORHGRE
Hpernch bn ~o pefkeoe znk~fhz//////////////////////////////////////////////////////////////////////////////////////////////// >
Baj~le Knecrzage x~n af~wrzh fhw bnoecaohgaeonw e wacjefekh bn nfncnorew pzachzaew q
wng~obhzaew bn fh geowrz~ggao bn few pefkeoew znk~fhznw////////////////////////////////////////////////////////// 9
Geowrz~ggao knonzhf bn ~o pefkeoe znk~fhz////////////////////////////////////////////////////////////////////////// 9
Hpfaghgao bn izc~fhw /////////////////////////////////////////////////////////////////////////////////////////////////////////////// ;
Geowrz~ggao bn fhw bayawaeonw hzcoaghw/ //////////////////////////////////////////////////////////////////////////////// 8:
Bn fh izc~fh bnf znh bn ~o pefkeoe znk~fhz hf Rneznch bn Yafgdnw/ ////////////////////////////////// 89
Geowrz~ggao q gfg~fe bn pefkeoew znk~fhznw goghyew nwrznffhbew/ /////////////////////////////////////////// 81
znh bn pefkeoew znk~fhznw nwrznffhbew/ ////////////////////////////////////////////////////////////////////////////////// 81
W~ch bn few ok~few aornzaeznw $Wa!//////////////////////////////////////////////////////////////////////////////////////////// :8
Geowrz~ggao knecrzagh bn fhw nwrznffhw/////////////////////////////////////////////////////////////////////////////// :8
Nwrznffh Pnorhkeohf/ ///////////////////////////////////////////////////////////////////////////////////////////////////////////////// ::
Pefkeoew bn ihorhwh/ ////////////////////////////////////////////////////////////////////////////////////////////////////////////// :;
Bn fh izc~fh bnf gfg~fe bnf znh bn ~o pefkeoe znk~fhz nwrznffhbe hf Rneznch bn Yafgdnw AA/ ///// :1
Rhjfh bn Af~wrzhgaeonw ////////////////////////////////////////////////////////////////////////////////////////////////////////////////// 78
7/23/2019 Polgonos Regulares Estrelados y de Fantasa
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Pefkeoew Znk~fhznw& Nwrznffhbew q bn Ihorhwh # Ghzfew Dnzoo Yafgdnw Zeco/
:
IZC^FHW PHZHGFG^FEW PZACHZAEW QWNG^OBHZAEW BNPEFKEOEW ZNK^FHZNW&AOWGZAREW NO ^OHGAZG^OINZNOGAH BNZHBAE GEOEGABE
Ghzfew Dnzoo Yafgdnw Zeco
7/23/2019 Polgonos Regulares Estrelados y de Fantasa
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Pefkeoew Znk~fhznw& Nwrznffhbew q bn Ihorhwh # Ghzfew Dnzoo Yafgdnw Zeco/
7
Izc~fhw phzh gfg~few pzachzaew q wng~obhzaew bn pefkeoewznk~fhznw& aowgzarew no ~oh gazg~oinznogah bn zhbae geoegabe/
No knonzhf& fh geowrz~ggao bn ~o pefkeoe znk~fhz znx~anzn bnf zhbae bn fhgazg~oinznogah x~n fe gazg~owgzajn= geoegabe nwrn zhbae z& pebncew ~oaynzwhfa|hzizc~fhw bn gfg~few bnf znh& bnf pnzcnrze& bn few fhbew& fh hpernch q bn few ok~fewx~n fe iezcho/
Bnoecaohbew pez
Bacnowao bn ~o fhbe bn ~o pefkeoe znk~fhz/
Izc~fh
7/23/2019 Polgonos Regulares Estrelados y de Fantasa
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Pefkeoew Znk~fhznw& Nwrznffhbew q bn Ihorhwh # Ghzfew Dnzoo Yafgdnw Zeco/
9
Baj~le Knecrzage x~n af~wrzh fhw bnoecaohgaeonw e wacjefekh bn nfncnorewpzachzaew q wng~obhzaew bn fh geowrz~ggao bn few pefkeoew znk~fhznw/
Geowrz~ggao knonzhf bn ~o pefkeoe znk~fhz
Nlncpfe< Geowrz~ggao bn ~o ^obngkeoe $pefkeoe bn 88 fhbew& af~wrzhgao/ 8!/
Af~wrzhgao 8
7/23/2019 Polgonos Regulares Estrelados y de Fantasa
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Pefkeoew Znk~fhznw& Nwrznffhbew q bn Ihorhwh # Ghzfew Dnzoo Yafgdnw Zeco/
;
Hpfaghgao bn izc~fhw
Nlncpfe 8< Hpfaghgao bn fh izc~fh bnf znh bn pefkeoew znk~fhznw/
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8:gc/
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7/23/2019 Polgonos Regulares Estrelados y de Fantasa
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Pefkeoew Znk~fhznw& Nwrznffhbew q bn Ihorhwh # Ghzfew Dnzoo Yafgdnw Zeco/
4
Nlncpfe :< Hpfaghgao bn fh izc~fh bnf pnzcnrze bn pefkeoew znk~fhznw/
Dhffhz nf pnzcnrze bn ~o pefkeoe znk~fhz bn :9 fhbew n aowgzare no ~oh gazg~oinznogahbn 80 c/ bn bacnrze/
BHREW /z c
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78&77
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7/23/2019 Polgonos Regulares Estrelados y de Fantasa
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Pefkeoew Znk~fhznw& Nwrznffhbew q bn Ihorhwh # Ghzfew Dnzoo Yafgdnw Zeco/
1
Nlncpfe 7< Hpfaghgao bn fh izc~fh bacnowao bn few fhbew bn ~o pefkeoe znk~fhz/
G~ore cabn ~o fhbe bn ~o dnprkeoe znk~fhz aowgzare no ~oh gazg~oinznogah bn 4 gcbn zhbae5
BHREW & ;827 0& 27744; ;
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7/23/2019 Polgonos Regulares Estrelados y de Fantasa
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Pefkeoew Znk~fhznw& Nwrznffhbew q bn Ihorhwh # Ghzfew Dnzoo Yafgdnw Zeco/
80
Nlncpfe 2< Hpfaghgao bn fh izc~fh hpernch bn ~o pefkeoe znk~fhz/
Nf gfg~fe bnf hpernch * * bn ~o pefkeoe znk~fhz gezznwpeobn hf zhbae bn fh
gazg~oinznogah aowgzarh no nf pefkeoe/ Hbncw gezznwpeobn h fh pnzpnobag~fhz bnwbn
nf gnorze h g~hfx~anzh bn few fhbew bn ~o pefkeoe znk~fhz/
G~f nw fh hpernch bn ~o bngkeoe znk~fhz aowgzare no ~oh gazg~oinznogah bn :0 gcbn zhbae5
Hpfaghobe fh izc~fh knonzhf2
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gco
gc
gc
gc
gc
Z< Fh hpernch bn nwrn pefkeoe nw bn81&;>2gc / bn fhzke/
7/23/2019 Polgonos Regulares Estrelados y de Fantasa
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Pefkeoew Znk~fhznw& Nwrznffhbew q bn Ihorhwh # Ghzfew Dnzoo Yafgdnw Zeco/
88
GEOWRZ^GGAOKNECRZAGH BNPEFKEOEW ZNK^FHZNW/
Ghzfew Dnzoo Yafgdnw Zeco
7/23/2019 Polgonos Regulares Estrelados y de Fantasa
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Pefkeoew Znk~fhznw& Nwrznffhbew q bn Ihorhwh # Ghzfew Dnzoo Yafgdnw Zeco/
8:
Geowrz~ggao bn fhw bayawaeonw hzcoaghw/
8/ Rzh|hz nlnw ghzrnwahoew no nf pfhoe& w~ aornzwnggao nw nf gnorze bn fhgazg~oinznogah x~n gazg~owgzajn hf pefkeoe bn zhbae z $Af~wrzhgao :!
:/ Wanobe o nf ocnze bn fhbew bn ~o pefkeoe znk~fhz& wn w~jbayabn nf bacnrze8 :
q q no o fhbew ak~hfnw $Af~wrzhgao 7!/ Nw geoynoanorn ningr~hz ~oh rzhwfhgao
phzhfnfh bn ~oh w~jbayawao rnorhrayh no ~o zhqe g~qe ezakno no8
q &
pzeqngrobefe h ~o p~ore geoynoanorn | no fhw o phzrnw ak~hfnw x~n
znpznwnorho few fhbew bnf pefkeoe $Af~wrzhgao 2!/
Wa nf pefkeoe nw ~o egrkeoe/ Rzhwfhgao phzhfnfh eprhrayh
Af~wrzhgao :
Af~wrzhgao 7 Af~wrzhgao 2
7/23/2019 Polgonos Regulares Estrelados y de Fantasa
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Pefkeoew Znk~fhznw& Nwrznffhbew q bn Ihorhwh # Ghzfew Dnzoo Yafgdnw Zeco/
87
F~nke rzhwfhbhz nwrew p~orew no fh w~jbayawao bnf zhqe hf bacnrze pez8 :
q q
rzhwfhgao phzhfnfh/
7/
Dhganobe gnorze no 8q q geo zhbae 8 :q q wn rzh|h ~o hzge x~n aornzwngrh hf nln tno
8i q
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dhganobe gnorze no:
q geo nf cawce zhbae8 :
q q n aornzwngrhobe few p~orew8
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:i bnf nln t q rhoknorn h fh gazg~oinznogah no
8q $Af~wrzhgao >!/
2/ No fh Af~wrzhgao >wn znpznwnorhz ~o nonkeoe phzh nogeorzhz few p~orew x~nznpznwnorho few yzragnw bnf pefkeoe& wn rzh|hzo zhqew bnwbn few iegew
8i q :i
x~n aornzwngrho h few p~orew phznw e acphznw bnf bacnrze 8 :q q gezrhobe h fh
gazg~oinznogah/
Nwrew p~orew weo few yzragnw bnf pefkeoe x~n iezchzo w~w fhbew q nwrew fhfonh pefakeohf/ H& J& G& o $Af~wrzhgao 9!/ Nwrh geowrz~ggao knecrzaghznpznwnorh ~o dnprkeoe/
Af~wrzhgao >< Nwrn nw nf ele knecrzage bn few pefkeoew znk~fhznw/
7/23/2019 Polgonos Regulares Estrelados y de Fantasa
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Pefkeoew Znk~fhznw& Nwrznffhbew q bn Ihorhwh # Ghzfew Dnzoo Yafgdnw Zeco/
82
Geowrz~azncew ~o pefkeoe znk~fhz bn 84 fhbew/ W~ bacnowao pzaogaphf nw fhnoynzkhb~zh bnf zhbae z bn fh gazg~oinznogah x~n aowgzajn hf pefkeoe& wa z32&> gc/
Af~wrzhgao 9
Af~wrzhgao ;
7/23/2019 Polgonos Regulares Estrelados y de Fantasa
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Pefkeoew Znk~fhznw& Nwrznffhbew q bn Ihorhwh # Ghzfew Dnzoo Yafgdnw Zeco/
8>
BN FH IZC^FH BNF ZNHBN ^O PEFKEOE ZNK^FHZHF RNEZNCH BN YAFGDNW/
Ghzfew Dnzoo Yafgdnw Zeco
7/23/2019 Polgonos Regulares Estrelados y de Fantasa
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Pefkeoew Znk~fhznw& Nwrznffhbew q bn Ihorhwh # Ghzfew Dnzoo Yafgdnw Zeco/
89
Bn fh izc~fh bnf znh bn ~o pefkeoe znk~fhz hf Rneznch bnYafgdnw/
Daprnwaw
Nf znh bn ~o pefkeoe znk~fhz aowgzare no fh gazg~oinznogah bn zhbae z nw ak~hf hfwncapzeb~gre bnf ocnze bn fhbew o pez nf g~hbzhbe bnf zhbae q pez nf wnoe bnfok~fe bnlhbe pez fh hjnzr~zh hok~fhz norzn few zhbaew x~n wn pzeqngrho no bewyzragnw geowng~rayew bnf pefkeoe/
Rnwaw:
:
:o zH wno ~
Bncewrzhgao
A/ Pewr~fhbe< Rebe pefkeoe znk~fhz nwr geoiezchbe pez rhorew rzaok~fewawwgnfnw geokz~nornw gece ocnzew bn fhbew ranon nf pefkeoe& g~qe yzragngeco nw nf gnorze bnf pefkeoe/
AA/ Wn bniaon hf znh bnf rzaok~fe gece nfwncapzeb~gre bn bew fhbew pez nf wnoebnf ok~fe gecpznobabe pez nwrewfhbew/h/ Few fhbew bn nwrew rzaok~few
awwgnfnw weo nf zhbae bn fhgazg~oinznogah x~n few gazg~owgzajn/
j/ Wnko AA8
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:
8
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Af~wrzhgao 4
7/23/2019 Polgonos Regulares Estrelados y de Fantasa
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Pefkeoew Znk~fhznw& Nwrznffhbew q bn Ihorhwh # Ghzfew Dnzoo Yafgdnw Zeco/
8;
AA/ Nf pefkeoe znk~fhz ranon o rzaok~few awwgnfnw geokz~nornw& pez fe rhore
7/23/2019 Polgonos Regulares Estrelados y de Fantasa
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Pefkeoew Znk~fhznw& Nwrznffhbew q bn Ihorhwh # Ghzfew Dnzoo Yafgdnw Zeco/
84
GEOWRZ^GGAO Q GFG^FEBN PEFKEOEW ZNK^FHZNWGOGHYEW NWRZNFFHBEW/
Ghzfew Dnzoo Yafgdnw Zeco
7/23/2019 Polgonos Regulares Estrelados y de Fantasa
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Pefkeoew Znk~fhznw& Nwrznffhbew q bn Ihorhwh # Ghzfew Dnzoo Yafgdnw Zeco/
81
Geowrz~ggao q gfg~fe bn pefkeoew znk~fhznw goghyew nwrznffhbew/
Nwrew pefkeoew ranono p~orhw nwrznffhbhw q geokz~nornw x~n nwro aowgzarhw no ~ohgazg~oinznogah bn zhbae Z& nwrhw gezznwpeobno h ok~few hg~rok~few/ Few ok~fewejr~wok~few nwro gazg~owgzarew h ~oh gazg~oinznogah cnoez bn zhbae z q nwgeogorzagh h fh chqez/
No fh pzacnzh phzrn bnf rzhjhle bn pefkeoew znk~fhznw nwrznffhbew wn geowabnzh nfzhbae Z nf bejfn bnf zhbae cnoez z q nw fh zh|o bn pewrnzkhz hf pefkeoe nwrznffhbebn rznw p~orhw& p~nw hf ~whz Z3:z wn ejwnzyh ~o rzaok~fe nx~afrnze/ Hf iaohf wngeowabnzh nwrn pefkeoe phzh Z ?:z/
znh bn pefkeoew znk~fhznw nwrznffhbew/
Nwrew pefkeoew nwro iezchbew pez rzhpn|eabnw wacrzagew e bnfreabnw beobn w~wbahkeohfnw weo< bahkeohf chqez i& x~n nw nf zhbae Z bn fh gazg~oinznogah q fhbahkeohf n nw ~o fhbe bnf pefkeoe znk~fhz aowgzare no fh gazg~oinznogah
cnoez/* * ::
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& beobn z nw nf zhbae bn fh gazg~oinznogah cnoez q
Af~wrzhgao 1
7/23/2019 Polgonos Regulares Estrelados y de Fantasa
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Pefkeoew Znk~fhznw& Nwrznffhbew q bn Ihorhwh # Ghzfew Dnzoo Yafgdnw Zeco/
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Pzepanbhb Aornfngr~hf/
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op~orhw no w~
nwrznffh/
Nf znh bn nwrn pefkeoe nw ak~hf hf znh bn ~o bnfreabn:
n wno
Af~wrzhgao 88< IKDAL nw ~o pnorkeoe znk~fhz/
7/23/2019 Polgonos Regulares Estrelados y de Fantasa
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Pefkeoew Znk~fhznw& Nwrznffhbew q bn Ihorhwh # Ghzfew Dnzoo Yafgdnw Zeco/
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ranon gc q z 3:&> gc
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Af~wrzhgao 8:
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7/23/2019 Polgonos Regulares Estrelados y de Fantasa
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Pefkeoew Znk~fhznw& Nwrznffhbew q bn Ihorhwh # Ghzfew Dnzoo Yafgdnw Zeco/
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7/23/2019 Polgonos Regulares Estrelados y de Fantasa
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Pefkeoew Znk~fhznw& Nwrznffhbew q bn Ihorhwh # Ghzfew Dnzoo Yafgdnw Zeco/
:9
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7/23/2019 Polgonos Regulares Estrelados y de Fantasa
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Pefkeoew Znk~fhznw& Nwrznffhbew q bn Ihorhwh # Ghzfew Dnzoo Yafgdnw Zeco/
:;
Pefkeoew bn ihorhwh/
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Af~wrzhgao 8;
Af~wrzhgao 84
Af~wrzhgao 81
7/23/2019 Polgonos Regulares Estrelados y de Fantasa
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Pefkeoew Znk~fhznw& Nwrznffhbew q bn Ihorhwh # Ghzfew Dnzoo Yafgdnw Zeco/
:4
BN FH IZC^FH BNFGF^FE BNF ZNH BN ^OPEFKEOE ZNK^FHZNWRZNFFHBE HF RNEZNCHBNF YAFGDNW AA/
Ghzfew Dnzoo Yafgdnw Zeco
7/23/2019 Polgonos Regulares Estrelados y de Fantasa
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Pefkeoew Znk~fhznw& Nwrznffhbew q bn Ihorhwh # Ghzfew Dnzoo Yafgdnw Zeco/
:1
Bn fh izc~fh bnf gfg~fe bnf znh bn ~o pefkeoe znk~fhz nwrznffhbehf Rneznch bn Yafgdnw AA/
Daprnwaw
Nf znh bn ~o pefkeoe znk~fhz nwrznffhbe aowgzare no gazg~oinznogahw geogorzaghw bnzhbaew Z fh chqez q z fh cnoez& nx~ayhfn h ~o g~hzre bnf znh bnf rzhpn |eabnwacrzage bn bahkeohfnw n q i pez nf ocnze bn fhbew bnf pefkeoe/
Rnwaw
Bncewrzhgao
A/ Pewr~fhbe< Rebe pefkeoe znk~fhz nwrznffhbe nwr geoiezchbe pez rzhpn|eabnwwacrzagew g~qe yzragn geco nw nf gnorze bnf pefkeoe/
AA/ Pewr~fhbe< Rebe pefkeoe znk~fhz nwrznffhbe ranon rhorew rzhpn|eabnwwacrzagew q geokz~nornw gece p~orhw bn nwrznffh x~n fe iezcho/
h/ Wn bniaon gece znh bn ~o rzhpn|eabn wacrzage hf wnca pzeb~gre bn w~wbahkeohfnw n q i& f~nke :
:
n iH ~
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HJED nw ~o rzhpn|eabnwacrzage g~qhw
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gazg~oinznogah chqez/
n nw nf fhbe F bnf
pefkeoe znk~fhz aowgzare
no fh gazg~oinznogah
cnoez/
Af~wrzhgao :0
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70
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Af~wrzhgao 8> UUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUU :>
Af~wrzhgao 89 UUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUU :9
Af~wrzhgao 8; UUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUU :;
Af~wrzhgao 84 UUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUU :;
Af~wrzhgao 81 UUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUU :;
Af~wrzhgao :0 UUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUU :1
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Polgonos Regulares Estrelados y de Fantasa
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7/23/2019 Polgonos Regulares Estrelados y de Fantasa
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