Summary
Making beautiful and feasible volumetric effects has been a trending topic for game development. Inspired by the Gears 5 tech talk and the good ol’ Guerrilla paper on cloudspaces, I decided to do my own take and created this fluffy dry ice fog using Volumetric Fog feature that comes with UE4.
https://twitter.com/Vuthric/status/1226257386131746817
This is done purely within Volumetric Fog and Volume Material systems, thus requires no low-level coding and supports various lighting feature within UE4.
Volumetric Fog
Volumetric Fog has been in Unreal Engine since 4.16. Comparing to custom volumetric raymarcher, which usually only supports one directional light and skylight, UE4 Volumetric Fog supports one Directional Light, any number of Point and Spot Lights, Skylight, all with various shadowing method support like static shadow, CSM, distance field soft shadow and DFAO. It also supports Volumetric Lightmaps and Particle Lights. it’s well embedded into the engine with good performance.
The major downsides include lacking IES support, doesn’t work with Ray Tracing and most importantly, no self-shadow or light scattering for performance reasons. Later we’ll learn some neat tricks to fake self-shadow as a workdaround.
Before Getting Our Hands Dirty
Before starting I need to make clear that what we are going to create is a pretty demanding visual effects. Volumetric fog is targeted for mainstream PCs/Consoles, but in order to express the detailed shapes of dense fog we need to crank up the parameters by quite a bit.
For the sake of demonstration I tuned up the quality by changing cvar:
r.VolumetricFog.GridPixelSize 4
Which costs ~4ms on a 2080Ti (1080p) for the final FX.
Default GridPixelSize value is 8. Half the value means there are 4x more voxels to render for the same screen resolution. And because we’ll do multiple texture sampling per voxel it costs even more. Final fog is about 8 times as much consuming than regular volumetric fog at high quality (as in the video); 2 times as much consuming at default quality.
It’s important that you understand this. For learning’s purpose, you can maximize the quality as long as your machine runs it smoothly.
Click to zoom in
I’ll talk more about optimization in the last section of this article. You can tweak it to fit your needs but most importantly, after going through this project you’ll learn about great ways to control volumetric fog in 3D space, which may also be used on top of other VFX to achieve richer, thicker atmosphere.
Local Controls
Firstly you still need to setup your Exponential Height Fog actor and enable its Volumetric Fog option. Decrease the density to 0.00001 and change fog actor location to (0, 0, -9999999) if you don’t want global fog.
Materials using the Volume domain describe Albedo (color), Emissive, and Extinction (opacity) for a given area in space for the volumetric fog. For example you can create a 3D sphere with simple SphereMask by hooking up Absolute World Position, Object Bound to SphereMask node.
The material is applied to a cube mesh. Normals of the cube don’t need to be inverted. Two-sided material is not needed either. In fact it doesn’t even matter if it’s not a cube. Engine only uses the bounds of the mesh for if it uses Volume material.
Knowing this we can do all sorts of fun tricks. Let’s start with the basics:
3D Noise
The obvious step forward is adding 3D noise. Since multiple voxels are computed for every [GridPixelSize*GridPixelSize] pixel grid on screen. The Volume material needs to be fast. For the Noise node, Fast Gradient – 3D Texture option is our only bet here.
And we can easily get this low hanging fruit of a volume effect by using the material above:
Fake Godrays
This section is not required for the fog effect we aim to achieve, but it’s a great example of using simple math to achieve nice looking and cost efficient results. In this awesome tutorial by Sjoerd De Jong from Epic, he mentioned a method to add artificial god rays which gives the light a lot of rich details.
Basically you use cross operator to get two vectors that are perpendicular to the light vector and perpendicular to each other. Then use them as UV input for a perlin noise texture. This projects the 2D texture along the light direction:
A more practical demonstration from my tech talk (link, it’s in Chinese):
Because I love giving badass names to my demos
Now you may notice the nice looking dense cloud movement on the ground. That’s was my first attempt at creating this effect 🙂
Dense Cloud
As mentioned earlier, dense Volumetric Fog doesn’t work very well because we lack self-shadowing, while on the bright side, it integrates well with engine lighting features. We can fake shadows in various ways then cover up the flaws with lighting and animation.
Here is a list of missions we need to accomplish:
- ‘Ground’ the volume to surface
- Create Cloud like patterns and behavior
- Fake self-shadow
- Achieve good enough performance so people have a chance to see it in you game
Distance Function
In the Gears 5 talk, Colin mentioned they generated heightmaps for their maps, which are then piped into the Volume Material to act as a mask. This basically says okay we got nice 3D cloud in the air but fade it out when it’s far away from the ground.
A quick example showing dense cotton candy blowing over mountain tops
For this article though, we are going to use Distance Field instead of heightmap for simplicity’s sake (heightmap is faster but custom tools are needed to generate them).
After turning it on. We can simply use Distance to Nearest Surface node to access global distance field data in the material graph:
Note that Global Distance Field only generates as far as 395.75 cm to any surface (balance between range and precision). So it’s doesn’t really work for huge scale FX like the mountain Cotton Candy (I simply used the landscape heightmap there).
A Brief on Volume Textures in UE4
Now we know how Volume Material works and how it can interact with the scene, the gracious time has come to talk about 3D textures. Unreal Engine 4 has added Volume Texture support since 4.21. It works by taking a 3D shape and slicing it into cross-sections, which are then placed into a grid on a 2D Texture. Volume Texture asset can automatically convert the 2D texture into a 3D one.
Volume Texture imported from Houdini
(Optional part, read if you are interested in VDB)
It’s also possible to feed a function into UVolumeTexture::UpdateSourceFromFunction() to read from VDB files directly. Here is an example I did a while back that imports a single VDB file into a Volume Texture asset.
Note: This is a very experimental test and it only supports older VDB files since I imported OpenVDB library from UE4 ProxyLODPlugins.
auto QueryVoxel = [&](const int32 x, const int32 y, const int32 z, void* ret)
{
openvdb::Coord xyz(x + Start.X, y + Start.Y, z + Start.Z);
if (TextureFormat == ETextureSourceFormat::TSF_G8)
{
uint8* const Voxel = static_cast<uint8*>(ret);
Voxel[0] = accessor.getValue(xyz) * 256 * ValueScale;
};
if (TextureFormat == ETextureSourceFormat::TSF_RGBA16F)
{
half* const Voxel = static_cast<half*>(ret);
Voxel[0] = accessor.getValue(xyz) * ValueScale;
Voxel[1] = 0;
Voxel[2] = 0;
Voxel[3] = 0;
}
// Only listing two formats here
};
VolumeTexture->UpdateSourceFromFunction(QueryVoxel, End.X - Start.X, End.Y - Start.Y, End.Z - Start.Z, TextureFormat);
VolumeTexture->MarkPackageDirty();
return true;
We can choose which texture format we want to save as Volume Texture. Usually 8 bit per channel is good enough for volumetric FX.
This covers how to use one layer of static volume data. To make natural looking cloud of fog, we need to stack multiple layers of 3D noises with a strong art direction, not unlike how we fake water waves with 2D noises (as normal maps or height offset). It’s a very challenging task, fortunately this is a topic that has been experimented with by a lot of super awesome FX artists. I’ll try to sum up what I’ve learned in next sections.
Shaping The Cloud With 3D Noises
Author 3D Noises
There’re multiple ways to create 3D noises. I’m going to first talk about how to create them in Houdini, then introduce a way to generate them in UE4 (4.25 and later) directly.
The reason being, the process is more instinctive in Houdini, there are existing nodes designed specifically for this job. Previewing tweaks is better too. However if you’re not familiar with Houdini or want to keep the workflow fancier, the new Volumetrics plugin coming to 4.25 has legit tools to keep the process inside UE4 kitchen.
Create The Base Layer (with Houdini)
The most important noise layer that immediately yield great result for me is what Guerrilla Games calls Perlin-Worley noise.
As mentioned, Houdini is very powerful for these kind of job and comes with native periodic Perlin / Worley noise nodes. Here is the Volume Vop for periodic Perlin fractal noise:
The for loop is a little tricky to use if you’re not familiar with it. Once you got that you can easily generated another periodic Worley fractal noise volume:
then multiply them together:
(You can do this inside a Cop net)
The first Perlin noise uses a very common technique called fBm (fractal Brownian motion), which basically means fractal — you combine noises with different frequencies together to get a more detailed noise while maintaining the macro shape.
Worley noise algorithm is pretty simple. For 3D noise, the voxel value is second shortest distance between the voxel scattered points in space. That gives us this fluffy visual characteristics. When mixed in the cloud volume it can either separate the volume in bubbly sections or give the edge some nice wispy details.
Combining with the distance function technique we mentioned before, the Perlin-Worley noise instantly gives you this clean and detailed look:
To sample Volume Texture, you treat them as 2D textures but instead of UV(float2) you feed in a UVW(float3) as coordinate in 3D space.
You can spot the consistent visual feature of Perlin noises, also the billow features from Worley noises here, which gives us a solid base shape for the cloud we’ll continue adding details to. Adding panning to the UVW input will instantly give you flowy results if the panning direction is not completely parallel to surface tangent.
Update 2020-07-01: Uploaded the .hip file since a lot of you folks are asking for it and the peer pressure is weighing me down. (actually .hiplc since I only have indie license on my WFH machine)
Create The Base Layer (within Unreal Engine 4)
This is the alternative way to author 3D noises within UE4. This awesome Volumetrics plugin by Ryan Brucks is only available in dev-main branch at the time of writing. You can find BP_Draw_Tiling_volume under Plugins\Volumetrics\Content\Content\VolumeTextures\Blueprints
Usable is pretty straightforward. Click Create Static Texture button to instantly generate a uasset of that. You can dig inside and see how it works.
The core function here is M_Encode_Tiling_Noise, which describe the 3D texture it’s going to generate. It doesn’t come with the Perlin-Worley noise as mentioned but we can easily modify it to our heart’s content.
The custom node takes inputs and generates 3D noises, while Function parameter describles the noise type. Default is one gradient 3D noise as output. Here I add a Gradient (Perlin) noise and Voronoi (Worley) noise together then multiply it by 0.5. Hit Create Static Texture button we can achieve similar result as the Houdini one.
Stacking Noises To Replicate Dry Ice Fog Movement
As mentioned before. Worley noise works nicely for both macro and detail shaping. Similar to 2D textures, we can add/multiply layers of 3D noises with different patterns and panning speed to achieve a more dynamic result. To demonstrate this clearly, here’s 2 layers of 2D
panning noises multiplied:
We want similar things in 3D so the fog will appear to be flowing. However, 3D noises are very expensive. For example 512^3 volume texture roughly equals 11.5k*11.5k in 2D and currently UE4 doesn’t support 3D texture streaming. Sampling such large textures multiple times, in multiple voxels, for every [GridPixelSize*GridPixelSize] pixels on screen takes a big toll on the performance.
A better strategy is stacking 3 layers of lower resolution 3D noises (128^3 for example) instead of 2 high resolution. And because the 3 layers have aggressively larger scale, they make up for low resolution:
It’s not as detailed, but the extra layer adds a lot more complexity to it so we don’t see any repeated patterns.
The 3 layers of 3D noises are encoded into RGB channels of a Volume Texture respectively:
With a little tweaking, you’ll manager to get this:
Which looks like absolutely nothing. Here begins the journey of parameters tweaking. Consider this a triumph for your tech art skills. The 3D noise behavior will start making sense when you start hallucinating.
A tip I can give though is to start simple and make sure you get a good base to work with. I spent a lot of time experimenting with the noises and trying to replicate dry ice fog movement, with only two layers of 3D textures (The R and G channels of our volume texture).
Also it’s important to tilt the panning direction away from surface tangent a little. It will result in a more dynamic look since distance field is constantly trimming the 3D noise.
Then add a little details:
Wait what? I hear you. This feels like a ‘draw the rest of the owl’ situaltion. But the differences between the two are only two changes:
- Two more layers of noise. One of them is B channel of the volume texture, used similar to G channel. The other one is a fine tune ‘modifier’ to add refined wispy edges.
- Shadows. Offset shadow and DFAO.
Which leads to our next sections.
Add Detail – Wispy Edges
After adding another layer of Worley noise (B channel) you’ll can get something like the left picture (minus shadowing which I’ll cover later).
The overall shape is good but still lacks details. You can then add another layer of noise to A channel, or just reuse other channel to add in high frequency details (middle picture). The pattern is very repetitive but since the moving shape is already very rich, it won’t be noticeable.
Then we want to soften up the details near the ground, since dry ice fog tends to be more volatile the higher it goes (look up videos on youtube), and the slicing artifacts appear worse if the contrast is high near the ground:
It’s fairly easy to implement the detail fading, just adjust the detail intensity according to DF value (with a power function to adjust contrast). Result is the picture on the right.
Add Detail – Curl Noise (Optional)
Another great way to add more character to the fog is using divergence-free curl noise to distort the space a little. It gives you stylized curvy dynamics if you cramp it up. Or add some extra curvy flavor if you can afford the extra texture sampling.
There is one under Volumetrics plugin/Content/VolumeTextures/Textures/VT_CurlNoise
Add world position with it before feeding into sampling function.
Shading
Shadow – Offset Shadow
Firstly, volumetric fog doesn’t really support self-shadowing. What we can do is darken the color of input Albedo in the Volume material to fake it. There are downsides, mainly not looking quite correct when inside actual environmental shadows (because we’re still faking shadows for directional light that doesn’t shrine through here) , which can be dealt with by raymarching scene distance field. But let’s leave that for another day.
Offset shadow, in its simplest form, is this:
The text feels solid and leaves a drop shadow on the canvas. Now if the shadow is inside the text and get blurred a little bit we get a softer shadow, which makes it look 3D.
This is exact what we’ll do to the fog. We offset the input World Position A a little toward the main directional light (World Position B) and sample MF_CloudSample again. If B has density of 0, it means there is nothing blocking light to A. A should be colored as a bright color. If B has density > 0, we darken the Albedo of A by how dense B is.
Since UE4 Volumetric Fog implementation already includes temporal jitter, the line between lighted and shadowed isn’t that obvious. You can also adjust the offset length to get a more natural look.
Offset Jitter
Aside from this, I came up with the UseJitteredOffsetShadow method here. Basically you jitter the offset length of every voxel between a range. Temporal super sampling will then smooth it out. There are some artifacts but the result looks quite good. Jitter code inside the Custom Code:
int3 randpos = int3(WorldPosition.xy, View.StateFrameIndexMod8);<br>float rand =float(Rand3DPCG16(randpos).x) / 0xffff;<br>return rand;
Shadow – DFAO
Another shadowing approach that does wonders is distance field ambient occlusion. If you don’t have distance field enabled you can use heightmap as alternative.
The implementation is simple — tint Albedo darker the closer it is to nearest surface. The Curve Atlas node in the graph above is an awesome engine feature that has come into existence for a while. It automatically generates a small texture from the color curve you edited, including RGBA channel. This makes adjust the DFAO tint and DF opacity influence much faster and more instinctive.
Optimization
I’m still experimenting with ideas like pre-baked scattering, and more efficient way to mask out the empty voxels. For now I’ll mention a few key points.
Since DFAO does a pretty good job in making the cloud cluster distinguishable, you may consider ditching offset shadow since that doubles the sampling cost.
It’s also very important that you understand some of the cvars config for volumetric fog. Volumetric fog is rendered into a 3D texture that will be stretched to fill your vision cone. The depth can be adjusted in ExponentialHeightFog actor – Volumetric Fog – View Distance.
The 3D texture for this project is 480x270x128 (@1080p), as you can see in GPU Visualizer (hotkey ctrl+shift+, )
Why? Let’s see the cvars:
r.VolumetricFog.GridSizeZ 128 (default 128)
Is the resolution along the camera depth (Z) axis.
r.VolumetricFog.GridPixelSize 4 (default 8)
Is the screen pixel size per voxel in XY plane. I set it to 4, which means at 1920×1080 resolution, the XY resolution is 480×270.
Click to zoom in
These are the main parameters you can adjust to trade quality for performance very efficiently. Increase gird pixel size to 8 will make it 4x faster.
Also Decrease grid size z to 64 will make it 2x faster, but this will probably result in flickering artifacts. You can try increase
r.VolumetricFog.HistoryWeight (default 0.9)
to reduce the flickering, but the movement will appear more blurred in return. ExponentialHeightFog actor – Volumetric Fog – View Distance can also be decreased to increase quality along Z axis, at the sacrifice of rendering distance.
Finally an optimization I did that yielded noticeable result is using DF value to determine if we should sample textures and calculate output for current voxel at all. Basically you can’t do shader dynamic branching with the If node in material graph, but you can in Custom code. It’s possible to take an Alpha input calculated from distance field, to essentially avoid unnecessary texture sampling operations (and other operations) if current voxel is empty.
[branch]
// Simplified code. Ideally we should immigrate most calculations from the material graph into the if scope
[branch]
if(DF < Alpha)
{
return float4(
Texture3DSample(Tex, TexSampler, UVW0).r,
Texture3DSample(Tex, TexSampler, UVW1).g,
Texture3DSample(Tex, TexSampler, UVW2).b,
Texture3DSample(Tex, TexSampler, UVW3).a
);
}
else
{
return float4(0.f, 0.f, 0.f, 0.f);
};
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I’ve got the battle scars to prove every word. Then you actually roll up to the lot. Plus they lock up $5500 on your card and say “it’ll drop off in 10-14 business days”. Fool me fourteen times? That’s just the 305 experience at this point. luxury car for rent. anyone who’s tried the bus in August knows exactly what I’m talking about. Key Biscayne sunset, Bal Harbour shopping, or a spontaneous drive down to Homestead — AC must freeze your face off and unlimited miles or no deal. I’ve tested maybe 75 rental outfits across Dade, Broward, and Monroe. Finally found one company that doesn’t play stupid games. Here’s the only honest source for premium rides across South Florida
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Alright, last one I swear — but someone’s gotta warn people about this Miami rental mess. You spot this killer offer online — brand new Porsche, zero excess, price that screams “book me”. Different car waiting — dents everywhere, smells like cheap air freshener covering something worse, and that “killer price”? Doesn’t include the mandatory $55 daily toll pass or the $450 “convenience fee” they invent at checkout. Fool me twenty times? That’s just called Tuesday in the 305. luxury car rental miami fl. Miami without real wheels is basically a disaster. South Beach dinner, Design District shopping, or a spontaneous Keys adventure — AC must be arctic and unlimited miles non-negotiable. I’ve tested so many rental companies across Dade, Broward, and Palm Beach. no games, no bait-and-switch, no hidden fees on page 8. Here’s the only straight shooter for premium rides across South Florida
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I’ve seen it all, and most of it isn’t pretty. You book something slick online — great photos, reasonable rate, looks like a win. Plus they freeze $4000 on your card and say “it’ll drop off eventually”. Seventeen years in South Florida and these scams still pop up. those folks are pros at separating you from your money. anyone who’s tried Uber during rush hour knows the deal. Coconut Grove dinner, Bal Harbour shopping, or a spontaneous drive to the Keys — AC must be cold and unlimited miles or forget it. I’ve tried so many rental places I’ve lost count. no games, no hidden fees, no nonsense. prices change fast so take a look:
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Let me give it to you straight — renting a decent car in Miami is way harder than it should be. Then you actually show up to get the keys. Plus they put a $5000 hold on your card and say “don’t worry about it”. Nineteen years in South Florida and these tricks still surprise me. luxury car rental in miami. anyone who’s taken the bus here knows what I mean. Key Biscayne sunset, Bal Harbour shopping, or a spontaneous drive down to Homestead — AC must freeze your face off and unlimited miles or no deal. most are shiny garbage with fake five-star reviews. Finally found one outfit that actually delivers. Here’s the only honest source for premium rides across South Florida
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I’ve been through the wringer more times than I care to admit. You see this incredible deal online — top-end BMW, zero excess, price that seems too good to be true. Then you actually go to pick up the car. Plus they slap a $6000 hold on your credit card and say “don’t worry, it’s just a pre-authorization”. Fifteen years in South Florida and these clowns still almost catch me. luxury car rental in miami. Miami without proper wheels is basically a hostage situation. leather seats that won’t brand your back in the July heat. I’ve tested maybe 80 rental companies across Dade, Broward, Palm Beach, and Monroe. no games, no bait-and-switch, no hidden fees buried on page 6. Here’s the only straight shooter for premium rides across South Florida
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Alright let me drop some truth about the Miami rental scene — it’s an absolute minefield. Then you actually go to pick up the car. Totally different vehicle waiting for you — check engine light on, curb rash on every rim, and that “tempting price”? Doesn’t include the mandatory $35 daily toll pass or the $250 cleaning fee they sneak in at the end. Ten years in South Florida and these jokers still almost catch me slipping. those people are professional scammers with nice smiles. Miami without solid wheels is basically a punishment. South Beach night out, Bal Harbour shopping spree, or a spontaneous Keys adventure — AC must be ice cold and unlimited miles non-negotiable. most are shiny websites hiding the same beat-up fleet with fresh wax. Finally found one outfit that actually delivers what’s promised. prices change by the hour so don’t wait around:
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Okay seriously, let me save you from the Miami rental nightmare once and for all. You find this amazing offer online — beautiful car, great rate, everything seems perfect. Plus they put a $3500 hold on your card and say “it’ll drop off in 7-10 days”. Sixteen years in Miami and these tricks still pop up like bad weeds. When you need a legit luxury car rental miami. Miami without real wheels is basically a slow death. Design District shopping, late-night South Beach cruising, or a spontaneous Keys trip — AC must be freezing and unlimited miles or walk. I’ve tried so many rental companies I’ve lost count. Finally found one that actually keeps its word. prices move fast so check them out:
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Glad I clicked through from where I did because this turned out to be worth the time spent, and after forwardexecutionhub I had a fuller picture, the kind of content that earns its visitors through delivering value rather than chasing them through aggressive advertising or constant pop ups appearing everywhere on the screen lately.
Alright, last one I swear — but someone’s gotta warn people about this Miami rental mess. You spot this killer offer online — brand new Porsche, zero excess, price that screams “book me”. Different car waiting — dents everywhere, smells like cheap air freshener covering something worse, and that “killer price”? Doesn’t include the mandatory $55 daily toll pass or the $450 “convenience fee” they invent at checkout. Fool me twenty times? That’s just called Tuesday in the 305. miami car rental luxury — run far from the airport counters. anyone who’s tried public transport here knows I’m not joking. leather seats that won’t weld to your legs in July. I’ve tested so many rental companies across Dade, Broward, and Palm Beach. Finally found one outfit that actually keeps its word. prices change hourly so don’t wait around:
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After several visits I am now confident this site is one to follow seriously, and a stop at huodaohang reinforced that confidence, the gradual building of trust through repeated quality exposures is the only sustainable way to develop reader loyalty and this site is building that loyalty in me through patient consistent work consistently.
Let me drop some hard truth about the Miami rental game — it’s an absolute circus out here. You spot this gorgeous deal online — pristine photos, fair price, everything looks legit. Totally different car sitting there — curb rash on every rim, AC blowing warm, and that “fair price”? Doesn’t include the mandatory $55 daily insurance or the $450 “convenience fee” they invent at the counter. Fool me fourteen times? That’s just the 305 experience at this point. luxury car rental miami fl. anyone who’s tried the bus in August knows exactly what I’m talking about. Key Biscayne sunset, Bal Harbour shopping, or a spontaneous drive down to Homestead — AC must freeze your face off and unlimited miles or no deal. most are shiny garbage with fake five-star reviews bought from some online marketplace. what you book is what shows up, period, end of discussion. Here’s the only honest source for premium rides across South Florida
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Okay real talk — Miami rentals are a minefield and someone needs to say it. Then you actually go to pick it up. Plus they lock up $4500 on your card and say “10-14 business days”. Eighteen years in South Florida and these clowns still almost get me. those guys are professional scammers in nice uniforms. anyone who’s tried the trolley knows the struggle. leather seats that won’t brand your legs in July. I’ve tested so many rental companies I’ve honestly lost count. Finally found one outfit that doesn’t play games. rates change daily so check them out:
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This one is staying open in a tab for the rest of the day so I can come back and re read certain parts, and a look at xhydh20 suggests I will be doing the same with a few more pages here too, this is going to be a deep dive over the coming hours.
Swear this city never fails to surprise me with new ways to get ripped off. You see this killer deal online — brand new Mercedes, unlimited miles, price that makes you want to book immediately. Completely different car sitting there — scratches everywhere, smells like someone hotboxed it for a week, and that “killer price”? Doesn’t include the mandatory $45 daily insurance or the $400 “destination fee” they add at the very end. Thirteen years in South Florida and these clowns still almost get me. luxury car rental in miami. anyone who’s taken the Metro here knows the struggle is real. South Beach night out, Design District shopping spree, or a spontaneous Keys trip — AC must be arctic cold and unlimited miles non-negotiable. most are polished garbage with fake five-star reviews bought from some shady service. no games, no bait-and-switch, no hidden fees buried on page 4 of the contract. prices change by the hour so don’t sleep on it:
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