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Cast Energy Armor at start and when reviving.
Use Teleport both defensively and to move away to distance yourself for zei's and for power hungry (have to be 30 yards for 30% more damage)
Only use Black Hole before 1 second cold cycle. This is because the bonuses only lasts 5 seconds. It also has a long cooldown.
I recommend numlocking EB. Try to keep it at 4 stacks since its where most of your toughness comes from.
You mostly keep up the stacks with EB, shock pulse and frozen orb.

Below is the timing of casting what orbs to get the most damage from it.

Timing of regen (shock orbs) and frozen orbs:
Basic

Intermediate

Advanced

I recommend using different styles depending on situation, like for example use advanced on RG and use a mix of intermediate and advanced when clearing.
These are just recommended playstyles, you don't necessarily have to follow it, play it however you want.

Rings - AS vs Physical damage
For overall DPS, a good Physical Damage range is better but in terms of only the Frozen Orb ability, AS is better.
My interpretation of this is that AS is better due to the fact that you could fit more orbs in.

Helm - AS vs CHC
With AS, you can have more orbs that have a chance to proc aPoC
With CHC, the orbs have more chance to proc aPoC but you lose an orb or 2.
I would use CHC since it would (barely) make it more consistent.

Energy Armor - Force Armor vs Prismatic Armor
Force Armor can help you avoid getting 1 shot.
Prismatic Armor helps you to tank a bit more.
Personally I think Force Armor is only good at very high rifts but Prismatic Armor is better overall.

Illusory Boots - AR vs MS (they are both preset stats)
MS = 50-26 = 24 x 5 = 120/10 = 12 AR
AR = 120 AR
AR is definitely better in this case.

Boots - Illusory vs Ice Climbers
Illusory has bad preset rolls but allows more free movement.
Ice Climbers can roll good stats, has an extra primary stat and has freezing/immobilizing abilities.
When comparing, Ice Climbers have more toughness
This may seem hard to choose between but Illusory is better since in dense rifts if you get suddenly trapped and your TP is on cooldown, you can move away easier compared to Ice Climbers.

You can move around you know. There is no Endless Walk set to have to worry about.

Try to have max arcane power before Cold Cycle starts then spam Frozen Orb during it.

Use Black Hole during last half/quarter of Arcane cycle.

Stack Physical/Fire resists and melee/ranged damage reduction whenever possible.

Since its a LON build, all gear must be ancient. Even using an ancient piece not even part of the build is better than the non-ancient (besides stuff like rings, weapon and orb of course)

Swamp Land Waders is gear only found on WD. Pauldrons and Illusory Boots is only found in bounties.

Helm: Andariel's Visage
This helm can also roll AS and Cold Damage% on it compared to other helms. An alternative item early stage would be Leoric's Crown.

Shoulders: Any
The shoulders you have on doesn't matter, but Pauldrons of the Skeleton King (via bounties) seems to be the one with the most benefit.
You can choose whether you want an Armor/Life% roll or a RCR roll.
Firebird shoulders auto rolls with RCR, so if you don't like bounties, you could get that instead until you get a good pauldrons.

Chest: Tal Rasha's Relentless Pursuit
Tal Rasha's chest has a free AS roll and more primary stats (4 over 3) than secondary.

Amulet: Hellfire Amulet
Not really other good ones besides Eye of Etilch (Blur Passive has more toughness than Eye of Etilch).

Recommended Abilities:

Gloves: Frostburn
The only good gloves as it has cold damage.

Bracers: Strongarm Bracers
Really good for damage. Black Hole definitely procs it but not sure about other ablities.

Belt: Witching Hour
Can roll AS and CHD; a big damage boost.

Rings: Litany of the Undaunted and The Wailing Host.
Namesake of the build.
I recommend having one ring with AD and the other with AS
S17 Rings:
Halo of Karini: (swap Energy Armor with Storm Armor) for up to 80% damage reduction
and
Stone of Jordan: for more offensive (Recommend rolls are 20% Cold, CHC/CHD (depends on rolls) and Elite Damage)
or
Unity: for more defensive (need don't die and unity on templar)


Pants: Swamp Land Waders
Can roll elemental damage.
PSA: This only rolls on WD

Boots: Illusory Boots
Allows you to move freely better when TP is on CD. An alternative would be Ice Climbers.
PSA: This is only obtainable by doing bounties (act 2).

Weapon: Unstable Scepter
Gives 450% more arcane orb damage.

Orb: Orb of Infinite Depth or Triumvirate
Orb of Infinite Depth gives a smaller damage boost and gives a massive damage reduction boost.
Triumvirate gives a massive damage boost to arcane orb (400%).

Orb of Infinite Depth and Triumvirate is interchangeable (Triumvirate has a higher range so preferred in the cube).

Cube:
Shame of Delsere
Gives resource back faster so you can shoot it more often.
Convention of Elements

Gives a huge damage boost on rotation.

Helm - Topaz for RCR
Chest/Pants - Topaz for more Int/Resist, Ruby/Emerald for more Armor
Weapon - Emerald for CHD

Bane of the Stricken for the RG
Bane of the Trapped for a big damage boost.
Zei's Stone of Vengeance for another damage boost and this is a ranged build so it would make sense.

Signature Skills Alternatives (only if you have lightning damage on weapon):
Magic Missile (Conflagrate/Glacial Spike) - faster but procs less
Spectral Blades (Barrier Blades) - Gives you a shield but have to go into melee range.

Armor Alternatives:
Storm Armor (Power of the Storm) - reduces AP cost
Ice Armor (Crystallize) - Increases armor but have to go into melee range (inferior toughness to prismatic armor)
Energy Armor (Force Armor) - could be better in very high GRs

Passive Skills Alternatives:
Astral Presence - Resource Regen
Prodigy - Resource Regen
Unwavering Will - Damage and defensive bonus (must be standing still).
Illusionist - More movement

Ability Alternatives:
Teleport - Wormhole

Gem Alternatives
Esoteric Alteration (instead of Zei's) - more non-physical survivability

Alternative Gear Changes:
Twister Variant (Ranslor's Folly + Twister) - you get to group enemies better in return of losing damage bonuses from Black Hole.

Eye of Etilch - Good Toughness alternative until you find a good hellfire

Lacuni's Prowlers - more Attack Speed

Aquila Cuirass - 50% toughness for 50-75% uptime

Ice Climbers - Toughness in exchange for mobility

Storm Armor + Halo of Karini - 80% toughness

1.0 = Designed it as a meme build based around Shi Mizu
1.1 = Changed it to be more viable with Aqulia Caress
1.2 = Changed it to have more damage and consistency with Tal's Chest
2.0 = Made Major Changes to the build and gave it more detail.
These include:
Changing Twister to Explosive Blast
+ usable
+ better resource management
+ more freedom of what signature spell
+ more toughness
+ can use COE without dying often
- less teleporting.
- have to press EB often.
- sucking enemies in is harder.
- have to rely on good weapon range RNG.
2.1 = Minor Gear Adjustments
2.2 = Changed armor ability (thanks to BlaSDX for the suggestion), 1.5x more toughness
2.3 = Updated for Season 17