To start breeding the dragons, you must first have these basic building blocks. You must purchase these dragons from eggs because you do not have the parents to generate and mate for these basic dragons.

Nature Dragon
Flame Dragon
Terra Dragon
Sea Dragon
Electric Dragon
Ice Dragon
Metal Dragon
Dark Dragon

Generation 1 Breeding Dragons
Below is a complete list of “Rank 1″ dragons that you can build by using single step from the basic dragons in Dragon City. The dragons may be repeated in each of the subsection simply for your own convenience. The order at which you input the dragons for breeding does not affect the egg outcome. It is all pretty much based on luck and luck only.

Terra Dragon Hybrid Generation 1
Terra + Flame = Flaming Rock or Volcano.
Terra + Nature = Tropical or Cactus.
Terra + Sea = Mud or Waterfall.
Terra + Electric = Star or Chameleon.
Terra + Ice = Alpine or Snow Flake.
Terra + Metal = Armadillo.
Terra + Dark = Hedgehog or Venom.

Flame Dragon Hybrid Generation 1
Flame + Terra = Flaming Rock or Volcano.
Flame + Sea = Cloud or Blizzard.
Flame + Nature = Firebird or Spicy.
Flame + Electric = Laser or Hot Metal.
Flame + Metal = Medieval or Steampunk.
Flame + Dark = Vampire or Dark Fire.

Sea Dragon Hybrid Generation 1
Sea + Terra = Mud.
Sea + Flame = Cloud or Blizzard.
Sea + Nature = Nenufar or Coral.
Sea + Electric = Lantern Fish or Storm.
Sea + Ice = Icecube or Ice Cream.
Sea + Metal = Mercury or Seashell.

Nature Dragon Hybrid Generation 1
Nature + Terra = Tropical.
Nature + Flame = Firebird or Spicy.
Nature + Sea = Nenufar or Coral.
Nature + Ice = Dandelion or Mojito.
Nature + Metal = Jade or Dragonfly.
Nature + Dark = Carnivore Plant or Rattle Snake.

Electric Dragon Hybrid Generation 1
Electric + Terra = Star or Chameleon.
Electric + Flame = Laser or Hot Metal.
Electric + Sea = Lantern Fish or Storm.
Electric + Metal = Golden Or Battery.
Electric + Dark = Neon.
Electric + Ice = Moose.

Ice Dragon Hybrid Generation 1
Ice + Terra = Alpine or Snow Flake.
Ice + Sea = Icecube or Ice Cream.
Ice + Nature = Dandelion or Mojito.
Ice + Medal = Platinum.
Ice + Electric = Moose.

Metal Dragon Hybrid Generation 1
Metal + Flame = Medieval or Steampunk.
Metal + Sea = Mercury or Seashell.
Metal + Ice = Platinum.
Metal + Nature = Jade or Dragonfly.
Metal + Electric = Golden or Battery.
Metal + Dark = Zombie.

Dark Dragon Hybrid Generation 1
Dark + Terra = Hedgehog or Venom.
Dark + Flame = Vampire or Dark Fire.
Dark + Nature = Carnivore Plant Or Rattle Snake.
Dark + Electric = Neon.
Dark + Ice = Penguin.
Dark + Metal = Zombie.
Dark + Mud = Poo.

Generation 2 Dragon Breeding – Hybrid Rare
Below list we will include generation 2 dragon breds that are possible from generation 1. Please note that some of these chances are not 100%, and there may be other ways that you can successfully breed the Dragon City dragon that you are looking for. We have used () to note the basic building block for the specific Generation 1 dragons for your convenience.

Mud (Terra+ Sea ) + Dark = Poo.
Medieval (Flame + Metal) + Alpine (Ice + Terra) = Cool Fire Or Soccer Or Pearl Or Armadillo Or Flaming Rock
Neon (Dark + Electric) + Nenufar (Sea + Plant) = Pirate.
Zombie + Mud (Terra + Sea) = Petroleum.
Laser (Flame + Electric) + Dandelion (Nature + Ice) = Gummy or Fluorescent or Laser.

Special Notes:
Cool Fire can also be obtained through Laser (Fire + Electric) and Dandelion (Plant + Ice), Firebird and Ice.
Armadillo can also obtained through: medieval + alpine, pearl + alpine, jade+star, Zombie + Mud, and Pearl + flaming rock dragon
Gummy can also be obtained through: Firebird + fluorecent, firebird + star, Jade + star, and neon + nenufar
Pirate can also be bred from: Rattlesnake + lanternfish and neon + cloud

It should be additionally noted that Medieval + Alpine dragon is one of the best dragon breeding formula in Dragon City because of its ability to bred different types of hybrid rares.

Generation 3 Dragon Breeding – Legendary
The dragon breeding list for the legendary rank is well, pretty rare. You really have to rely heavily on your luck to get a shot at landing these dragons. Because the type of elements associated with these rare breeds are quite complex, we do not have the exact formula for these Dragon City breeds yet.

Legendary Dragon – Cool Fire Dragon + Soccer Dragon
Crystal Dragon – Coolfire + Soccer
Mirror Dragon – Gummi Dragon + Cool Fire Dragon
Wind Dragon – Gummi Dragon + Cool Fire Dragon, Soccer + CoolFire

Generation 4 and 5 Pure Dragon Breeding – The Pure Dragons
The pure dragon in Dragon City is the latest update that uses all the legendary dragons that you have gotten. Some people also call the Pure dragon the “Unicorn” dragon, because it looks like a unicorn. However, the actual name on Dragon City is the Pure Dragon. This category of dragon has its own habitat of the Pure and Pure elements. Below is how you can obtain these pure dragons in Dragon City.

We have intentionally separated the ranking generation of Pure and Pure Element. You will need Pure Dragon before you can start breeding the Pure Elements, thus effectively make the Pure Elements one generation after the Dragon City Pure Dragon.

It should be noted again that the breeding chance of Pure Dragon is not 100%. Based on our brief tests, we estimate the chance of breeding the Pure Dragon to be roughly 30~50% or even lower. There is a chance to have a result of any possible dragon combination when you breed two legendary dragon together.

Generation 4 – The Pure Dragon
Pure Dragon – Any breeding combination from legendary status dragons – Legendary, Crystal, Mirror, Wind. For example, Legendary + Crystal, Crystal + Mirror, and …

Generation 5 – The Pure Element Dragons
After you have obtained the Pure dragons, you can use the Dragon City pure dragon to breed the Pure element dragons with their elemental counterparts. Below is a list of all these pure elemental dragons.

Pure Plant = Pure Dragon + Plant Dragon
Pure Fire = Pure Dragon + Fire Dragon
Pure Earth = Pure Dragon + Earth Dragon
Pure Water = Pure Dragon + Water Dragon
Pure Electric = Pure Dragon + Electric Dragon
Pure Ice = Pure Dragon + Ice Dragon
Pure Metal = Pure Dragon + Metal Dragon
Pure Dark = Pure Dragon + Dark Dragon

Special Advice on Pure Dragon Breeding and Hatching Time:
The pure dragons breeding combination takes a whopping 48 hours to complete. The hatching of any “pure” dragon City dragons also takes 48 hours. Together the pure dragon breeding and hatching time adds up to 96 hours which is 4 days. Before you start breeding these, make sure that you have enough dragons as backup because they will take up your breeding and hatching queue. Putting your available legendary dragons into breeding places will make them unable to battle for that initial 2 days.

Deus Vault – The Unique Dragon Research
After a long time, Dragon City has finally gotten some nifty new updates that can keep all the players busy. At the time of updating the Dragon City Breeding guide, only unique dragons from the past are currently available in the Deus Vault. We expect completely unique dragons to be available in the future.

To breed the Dragon City unique dragons, you WILL have to do the research first to obtain the formula. As it seems that Socialpoint is still fine tuning the cost of these research. Once you have completed the research, you will obtain the secret dragon breeding formulas to breed unique dragons. However, we have provided the following unique dragon breeding combos to help you get started even before you obtain the right research.

Like all of the available dragon breeding recipes listed in this guide. These combos are not 100%. Depending on the different unique dragon breeds, we estimate the chances to be roughly 15%~25%. This means that you may still have to do a couple of tries before you can get the unique dragons. MAKE SURE YOU DO THE RESEARCH before attempting these breeding combos. Breed attempts without the proper research done has 0% chance of succeeding.

Please note that we have opt out to put research cost of these associated unique dragon breeds. We expect the price to fluctuate a bit during their A/B testing. Your best bet is to buy and complete any Deus Vault unique dragon research if they are available in gold.

Dujur Dragon – Coolfire + Electric
Queen = Medieval + Nenufar
Viking = Coolfire + Icecube
Plankton = Coral + Cactus
Aztec = Tropical + Spicy
Fossil = Dark + Ice
Bat = Venom + Armadillo
Seahorse – Lantern Fish + Dandelion
King = Medieval + Hot Metal
Sky = Laser + Blizzard

Notes: Dragon City Opposing Element Breeding
In this list that we have provided, there are some breeds that include elements that are opposed to each other. This means that you cannot normally breed them directly. However, you can use hybrid dragons that contain the opposing elements to breed the hybrid dragons. Because hybrid is used in the breeding process, this means that you will not be able to get the dragon that you want 100% of the time, so just keep on trying until you breed the Dragon City dragons that you need!

Notes: Dragon City Breeding Rarity Booster
Just in the past week of October, the Dragon City developer has opened a new feature named the Breeding Rarity Booster which can be used to boost your breeding chances. Based on some preliminary testing on our part, we have determined the rate to be roughly “twice” of its original breeding chance.

This means that “if” you have roughly 30% chance at getting legendary ranked dragons, with the rarity booster you will have doubled that amount at 60%. However, with the same reasoning, the effect of rarity booster is really limited when it comes to Pure and Pure Element combinations. We estimate the chance of breeding the Pure ranked dragons at about 5~10%. Which means that the Rarity booster really only effectively gives you 5%~10% more (nevertheless it still doubles the chance which helps you get them twice as fast, or even faster). Please note that we do not have the exact % of breeding chances, we simply observe that the Rarity booster is dependent on the original “rare” chance.

Gamelytic’s verdict on Dragon Breed Rarity Booster: It will be a better investment into breeding trees if you have not done so. Save your precious gems for the special event dragons instead of pushing for higher breeding success chance via the Rarity booster. When you get to a later level, there is much left to do except to collect the event dragons while letting your Dragon breeding schedule run.

Notes: Update for Dragon Breeding Times
In the past week or so, Social Point seems to be running some testing by assigning different breeding times for the dragons. This test now seems to have been rolled out to the majority of the players which we now call it a breeding time update.

Before the update, the breeding time is purely based upon the parents of the dragon pair. With this update, the Dragon City breeding time is now directly related to how rare the egg hybrid offspring is. For example, legendary and pure level eggs can take up to 24~48 hours for breeding. For the generation 1~2 hybrids can generally take 4~16 hours. This update is good in a way that you can get more breeding tries within shorter period of time. This means that if you play consistently throughout the day, you can get your rares faster within shorter time frame. Failed non-rare eggs will simply take shorter breeding time.

Special Promotional Dragons
These dragons are listed because they cannot be made via breeding. However, we have included these to make our Dragon City breeding guide complete:

Paladin Dragon: Electric/Earth – Level 10 in Social Empires
Robot Dragon: Fire/Metal – Level 10 in Social Wars

Dragon Spell Dragons:
This is a special promotion that Dragon City is doing that encourages you to use gems to get unique dragons. Some of the offerings cannot be obtained via Breeding. In addition, players have reported different reward dragons. Therefore you may receive different offerings at different times compared to other players.

Dragons that are obtained via the Dragon City Dragon Spells:
Butterfly Dragon
Fossil Dragon: Ice / Dark Element (available 8/23/12)
Seahorse Dragon: (available 8/30/12)
Sky Dragon: (Available 9/6/12)

Dragon City Black Market
Emerald Dragon: (Available 3/1/13)

Friend Request Specials
Uncle Sam Dragon: (available 10/23/12)
St. Patricks Dragon: (available 3/5/13)

Wheel of Fortune Event
Bat Dragon (available 10/23/12)
Viking Dragon (available 11/1/12)
Jelly Dragon (available 11/8/12)
Queen Dragon (available 11/23/12)
Ghost Dragon (Dark / Earth) (available 11/29/12).

Carnival Games for Dragons
King and Wizard Dragon
Plankton Dragon Added (Available 10/24/12)

Special Events
2012 Hallowheel Spin – Pumpkin Dragon (Available 10/28/12)
2012 Santa Dragon Christmas Tree Event – Santa Dragon (Plant/Ice) Available Through 12/24/12
2013 Dino Island: (Available 2/25/13) – T-Rex Dragon

Dragon Wheel
Quetzal Dragon (Available 11/16/12)

Winter Casino
Ninja Dragon (Available 12/20/12)

Daily Deus Card Bonus
Deep Forest Dragon (Available 2/25/13)

Gamelytic Dragon City Breeding List Update Log
Because more dragons combinations are being constantly added to the total roster. We have created this section to keep track of our edits and breeding additions for our readers. Remember to share our list with your fellow Facebook and Dragon City friends!

2013 Dragon City Breeding Guide Updates
3/8: Deus Research Breeding Combo Updated as well Deus Vault Walkthrough
3/8: Renamed the basic building dragons to the updated new name. Added Emerald Dragon via Black Market and St. Patrick Dragon from friends invite. Deep Forest Dragon via Deus Daily Bonus drawing.

2012 Dragon City Breeding Guide Updates
6/28: Added Seashell Dragon and Moose Dragon breeding formula.
7/5: Added Venom Dragon and Dragonfly Dragon breeding combination.
7/14: Added Dark Fire (Dark Flame) Dragon and Steampunk Dragon breeding information.
8/1: Added Paladin Dragon and Robot Dragon Promotional Dragons
8/3: Butterfly Dragon becomes available via Dragon Spell. The Butterfly Dragon cannot be obtained via breeding at this stage.
8/12: Added Pure Dragon breeding guide section in Dragon City, as well as the Pure element dragons. Added Dragon Spell Game notes under Promotional Dragons.
8/23: Fossil Dragon becomes available via Dragon Spell. The Fossile Dragon cannot be produced via Dragon City breeding right now.
8/30: Seahorse Dragon becomes available via Dragon Spell. The Seahorse Dragon cannot be produced via Dragon City breeding right now.
9/6: Sky Dragon the Dragon Spell Unique dragon released. This Sky Dragon cannot be obtained using Breeding method.
10/14: King and Wizard Dragon is available via the Carnival games.
10/23: Bat Dragon is available via the Wheel of Fortune game. Uncle Sam Dragon can be obtained through friend requests.
10/23: Notes and Observations made regarding the new Dragon City Breeding Rarity Booster – Our verdict says no.
10/24: Plankton Dragon available via the Carnival game.
10/28: Pumpkin dragon available via Hallowheel.
11/1: Viking dragon available via Wheel of Fortune.
11/6: Note written about the Dragon City breeding time update.
11/8: Jelly dragon available via Wheel of Fortune.
11/16: Quetzal Dragon available via Dragon Wheel.
11/23: Queen Dragon available via Wheel of Fortune.
11/29: Ghost Dragon available via Wheel of Fortune.
11/29: Santa Dragon Available via Dragon City 2012 Special Christmas Tree Event.
12/20: Ninja Dragon released via Winter Casino Mini Game.

Dragon City Guides by Gamelytic Index
Complete Dragon Breeding Guide
Basic Beginner
Get More Gold and Level Up Faster
Gem Guide
Habitat Guide
Complete Farm and Food Guide
Combat World Tournament Guide
Battle Guide – Weakness and Strength
Dragon Training Center Guide

01. Sifat-Sifat pada Operasi Bilangan Cacah

{0,1,2,3,4,...}
=
Himpunan bilangan Cacah
{1,2,3,4,5,...}
=
Himpunan bilangan Asli

a. Sifat-sifat penjumlahan
Untuk setiap a, b, c, bilangan cacah berlaku:
-
Sifat komutatif
:
a+b = b+a
-
Sifat Asosiatif
:
(a+b)+c = a+(b+c)
-
Elemen Identitas pada Penjumlahan
:
a+0 = 0+a

b. Sifat-sifat pengurangan
Untuk setiap a,b,c,p,q, dan r bilangan cacah berlaku
1.
(a - b) + c = (a + c) - b
;
syarat:
a > b
2.
(a - b) + c = a - (b - c)
;
syarat:
a > b dan b > c
3.
a - b = (a + c) - (b + c)
;
syarat:
a > b
4.
(a - b) - c = (a - c) - b
;
syarat:
a > b dan (a-b) > c
5.
(a - b) - c = a - (b + c)
;
syarat:
a > b dan (a-b) > c
6.
a - b = (a - c) - (b - c)
;
syarat:
a > b dan b > c
7.
(a + b + c) - (p + q + r) = (a - p) + (b - q) + (c - r)
;
syarat:
a > p, b > q, dan c > r

c. Sifat-sifat perkalian
Untuk setiap a, b, c, bilangan cacah berlaku
-
Sifat Komutatif
:
a x b = b x a
-
Sifat Asosiatif
:
(a x b) x c = a x (b x c)
-
Sifat Distributif
perkalian terhadap penjumlahan
:
(b + c) x a = (b x a) + (c x a)
-
Sifat Distributif
perkalian terhadap pengurangan
:
a x (b - c) = (a x b) - (a x c)
-
Unsur identitas pada perkalian
:
a x 1 = 1 x a = a
-
Sifat perkalian dengan bilangan Nol
:
a x 0 = 0 x a = 0
-
Sifat perkalian untuk urutan
:
Jika a < b, c ≠ 0, maka a x c < b x c

d. Sifat-sifat pembagian
1
Sifat bilangan nol dalam pembagian:
Untuk setiap a, b, c, p, q, dan r, bilangan cacah berlaku
0 : a = 0 untuk a ≠ 0
a : 0 = tidak didefinisikan
0 : 0 = tidak tentu
2.
(a : b) : c = a : (b : c)
;
syarat:
b faktor dari a dan c faktor dari b.
3.
(abc) : (pqr) = a/p  x  b/q  x  c/r
;
syarat:
a, b, c, p, q, r merupakan bilangan-asli
-  p faktor dari a
-  q faktor dari b, dan
-  r faktor dari c
4.
a : b = (ca) : (cb)
;
syarat:
c ≠ 0, dan b faktor dari a
5.
a : b = [a/c] : [b/c]
;
syarat:
b faktor dari a dan c faktor dari b
6.
(a : b) : c = a : (b : c)
;
syarat:
b dan c faktor-faktor dari a
7.
(a : b) : c = (a : c) : b
;
syarat:
b dan c faktor-faktor dari a
8.
Sifat distributif pembagian terhadap penjumlahan:
(a + b) : c = [a/c] + [b/c]
;
syarat:
c faktor dari a dan b
9.
Sifat distributif pembagian terhadap pengurangan:
(a - b) : c = a/c  -  b/c
;
syarat:
a > b dan c faktor dari a dan b
10.
Jika a < b, c faktor dari a dan b, maka a/c  <  b/c

e. Sifat-sifat perpangkatan
Untuk setiap a, b, c, bilangan cacah berlaku:
1.
(a x b)c = ac x bc
2.
[a/b]c = ac : bc
3.
ab x ac = ab+c
ab : ac = ab-c
; syarat:
b ≥ c,
(ab)c = abc
4.
Bilangan nol dalam perpangkatan
0a = 0
a0 = 1

f. Sifat-sifat penarikan akar
Untuk setiap a, b, c bilangan cacah berlaku


g. Sifat-sifat penarikan Logaritma





Tersebutlah seorang putri raja yang cantik jelita. Karena bergelimang harta, Sang Putri mempunyai sifat buruk. Ia selalu menghambur-hamburkan uang untuk hal-hal yang tidak perlu. Sedangkan Sang Raja tak pernah menolak kemauan putrinya.

Salah satu kegemaran Sang Putri adalah mengumpulkan perhiasan dari intan permata. Ia sudah memiliki berlaci-laci perhiasan dari berbagai negeri.

Suatu saat Raja mengajak Sang Putri berkeliling kota. Setelah singgah di berbagai tempat, mereka berhenti di depan bangunan indah. Di depan bangunan itu terdapat air mancur. Sang Putri sangat terpesona dengan air mancur yang elok itu. Air mancur itu memancarkan butir-butir air yang sangat indah. Karena terkena sinar matahari, butiran-butir air itu memancarkan cahaya kemilau bak intan permata. Sang Putri semakin terpesona.

Sepulang dari perjalanan, Sang Putri minta dibuatkan air mancur di depan istana. Raja mengabulkan permintaan itu. Maka berdirilah air mancur nan megah seperti keinginan Sang Putri. Bukan main gembiranya Sang Putri. Tiap hari ia memandangi air mancur itu. Suatu hari ketika Sang Putri duduk di pinggir air mancur itu, jari manisnya kejatuhan air mancur. Butiran air itu menjalar melingkari jari manis Sang Putri laksana cincin. Begitu tersinari matahari, lingkaran air itu memancarkan cahaya bak cincin permata.

Sang Putri berdecak kagum. Ia berlari menemui Sang Raja.
“Ayahanda, saya ingin dibuatkan cincin permata dari butiran air,” pinta Sang Putri.
Raja tak kuasa menolak keinginan putrinya. Segera Sang Raja memerintahkan abdi kerajaan mencari ahli permata.

Datanglah seorang ahli permata. Raja lalu menceritakan keinginan putrinya. Sang ahli permata mendengarkan dengan seksama.

“Ampun, Baginda. Hamba baru kali ini mendapatkan permintaan seperti itu. Hamba minta waktu untuk memikirkannya,” kata ahli permata. Ia tampak kebingungan.

“Kalau begitu, kuberi waktu dua hari. Tapi, kalau gagal, penjara telah menantimu!” tukas Sang Raja.
Dua hari kemudian, ahli permata itu datang untuk memberitahu bahwa ia tak dapat memenuhi permintaan Sang Putri. Sesuai perjanjian, ahli permata itu dijebloskan ke penjara. Kemudian Sang Raja memerintahkan mencari ahli permata lain. Tapi, beberapa ahli permata yang datang ke istana mengalami nasib serupa dengan ahli permata pertama. Raja sudah putus asa. Ia tak tahu harus berbuat apa lagi demi putri kesayangannya.
Sementara itu, Sang Putri terus menuntut agar permintaannya dikabulkan.
Tiba-tiba seorang pengemis tua terbungkuk-bungkuk mendatangi istana.
“Kamu ahli permata?” sergah Sang Raja.

“Bu … bukan, Baginda. Hamba hanya seorang pengemis. Tapi, mengapa Baginda menanyakan ahli permata?” Si Pengemis balik bertanya.
Lalu Sang Raja bercerita tentang keinginan putrinya.
“Izinkan hamba mencobanya, Baginda,” ujar Si Pengemis kemudian.
“Awas, kalau gagal, penjara tempatmu!” ancam Sang Raja.
Si Pengemis kemudian memanggil Sang Putri.
“Tuan Putri, tolong bawa butiran air itu kemari!” pinta Si Pengemis kepada Sang Putri seraya menunjuk air mancur di depan istana.
Sang Putri menuruti saja perintah Si Pengemis karena ia sudah tak sabar memiliki cincin yang diidamkannya. Begitu berada di sisi air mancur ia menengadahkan tangannya. Sebutir air jatuh tepat di atas telapak tangannya. Cepat-cepat ia bawa butiran itu ke pengemis.
Tapi, sebelum sampai ke pengemis, butiran air itu menguap habis. Sang Putri mengulanginya. Kini ia berlari. Namun apa daya, tetap saja ia tak mampu membawa butiran air.
Memang hari itu sedang sangat panas sehingga membuat butiran air cepat menguap. Dan ini memang siasat Si Pengemis, ia datang pada saat cuaca panas.

“Kalau butiran airnya tidak ada, bagaimana hamba bisa mengabulkan permintaan Sang Putri?
Saya kira tak seorang pun mampu membuat cincin kalau bahannya tidak ada. Hamba khawatir Tuan Putri yang cantik dan pintar ini akhirnya mendapat julukan putri bodoh karena menginginkan sesuatu yang tak ada.”
Sesudah berkata demikian,
 Si Pengemis dengan tenang meninggalkan istana. Apa yang dikatakan Si Pengemis sangat menyentuh hati Sang Putri. Sang Putri menyadari kekeliruannya. Lalu ia meminta Raja membebaskan semua ahli permata. Seluruh perhiasan intan permata yang dimiliki Sang Putri dibagikan kepada ahli permata sebagai ganti rugi. Sejak saat itu Sang Putri hidup sederhana dan tidak pernah minta yang bukan-bukan.

Clock World