> For the complete documentation index, see [llms.txt](https://orbcity.gitbook.io/orbcity/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://orbcity.gitbook.io/orbcity/building/construction-system/time.md).

# Time

$$
Construction\~Time=\[t\_c*v*a]*{(100-5*LayBours\_{n-1})\over100}
$$

$$
t\_c=base ~~time\\
v=dynamic~~time\\
a=increased~~percentage~~based~~on~~building
$$

$$
1\ \leq LayBours\_n\leq\ 14
$$

#### The construction time for a new building can be defined by the equation above. 

* **t** is the fixed time per season. 
* **v** is a variable that represents the dynamic time change based on the total number of buildings. 
* **a** is the increasing percentage of time based on the tier of the building and the number of constructions. 
* **LayBours** is an attribute of building NFTs that can be used to reduce time.

$$
t\_c=30\\
$$

{% hint style="info" %}
The value of **t\_c** may change randomly from season to season.
{% endhint %}

<figure><img src="/files/wjE7WujSj3vLIr91jnst" alt=""><figcaption></figcaption></figure>

$$
v = e^{3.61023E-04\*n+-1.44409E+00}\\
$$

$$
0\le n \le7000
$$

{% hint style="info" %}
**n** is the total number of buildings in the OrbCity ecosystem, and the minimum and maximum values change from season to season. The formula for **v** may change depending on the maximum and minimum values of n, but the principle is the same.
{% endhint %}

$$
a=increased~~percentage~~based~~on~~building
$$

<table><thead><tr><th width="131">Tier</th><th>1 count</th><th>2 count</th><th>3 count</th><th>4 count</th><th>5 count</th><th>6 count</th></tr></thead><tbody><tr><td>common</td><td>100%</td><td>110%</td><td>120%</td><td>130%</td><td>140%</td><td>150%</td></tr><tr><td>rare</td><td>150%</td><td>165%</td><td>180%</td><td>195%</td><td>210%</td><td>225%</td></tr><tr><td>epic</td><td>250%</td><td>270%</td><td>290%</td><td>310%</td><td>330%</td><td>350%</td></tr><tr><td>unique</td><td>400%</td><td>425%</td><td>450%</td><td>475%</td><td>500%</td><td>525%</td></tr><tr><td>legendary</td><td>600%</td><td>630%</td><td>660%</td><td>690%</td><td>720%</td><td>750%</td></tr></tbody></table>

{% hint style="info" %}
The higher the tier, the more constructions, the higher the percentage. **a** depends on the tier of the building and the number of constructions. Each construction with the same building NFTs increases the construction time. However, when tiering up a building, the number of constructions is reset.
{% endhint %}

{% hint style="info" %}
The maximum number of times a new building can be constructed is **6**.
{% endhint %}

{% hint style="info" %}
**Note: Please note that all figures are subject to change by governance.**
{% endhint %}