Sphere

Spheres can be used to purchase many things that a player will need to decorate their Secret Base, as well as traps which can be set up throughout the underground. Hikers that stand at some of the corners of the Underground will offer to trade these items for the Spheres. The price that the item is listed for is the minimum size Sphere that the Hiker will take for it, though larger ones may be used.

Spheres of the same color can combined by burying them in the same spot, in order to produce a single larger Sphere.

When combined, the size of the resulting Sphere is determined by the following formula (capped at 99):

${\displaystyle newsize=size_{1}+\left(\left\lfloor {size_{2} \over 5}\right\rfloor +1\right)+\left(\left\lfloor {size_{3} \over 5}\right\rfloor +1\right)+\left(\left\lfloor {size_{4} \over 5}\right\rfloor +1\right)\ldots }$

If spheres are buried on top of a sphere that has already grown at least once since a sphere was buried there, the new size is instead determined by the following formula (capped at 99):

${\displaystyle newsize=size_{buried}+size_{1}+\left(\left\lfloor {size_{2} \over 5}\right\rfloor +1\right)+\left(\left\lfloor {size_{3} \over 5}\right\rfloor +1\right)+\left(\left\lfloor {size_{4} \over 5}\right\rfloor +1\right)\ldots }$

Where:

• ${\displaystyle size_{buried}}$ is the current size of the grown previously-buried Sphere
• ${\displaystyle size_{n}}$ are the respective sizes of the buried spheres (excluding any previously-buried grown Sphere), sorted in descending order of size, such that ${\displaystyle size_{1}}$ is the size of the largest Sphere

Burying a Prism Sphere 15, a Prism Sphere 12, a Prism Sphere 7, and two Prism Sphere 1s yields a Prism Sphere 22.

${\displaystyle {\begin{aligned}newsize&=15+\left(\left\lfloor {12 \over 5}\right\rfloor +1\right)+\left(\left\lfloor {7 \over 5}\right\rfloor +1\right)+\left(\left\lfloor {1 \over 5}\right\rfloor +1\right)+\left(\left\lfloor {1 \over 5}\right\rfloor +1\right)\\&=15+\left(\left\lfloor {2.4}\right\rfloor +1\right)+\left(\left\lfloor {1.4}\right\rfloor +1\right)+\left(\left\lfloor {0.2}\right\rfloor +1\right)+\left(\left\lfloor {0.2}\right\rfloor +1\right)\\&=15+\left(2+1\right)+\left(1+1\right)+\left(0+1\right)+\left(0+1\right)\\&=15+3+2+1+1\\&=22\end{aligned}}}$

Burying a Blue Sphere 15, Blue Sphere 3, Blue Sphere 22, on top of a Blue Sphere 3 that has grown by 2 (i.e. now a Blue Sphere 5) yields a Blue Sphere 32.

${\displaystyle {\begin{aligned}newsize&=(3+2)+22+\left(\left\lfloor {15 \over 5}\right\rfloor +1\right)+\left(\left\lfloor {3 \over 5}\right\rfloor +1\right)\\&=5+22+\left(\left\lfloor {3}\right\rfloor +1\right)+\left(\left\lfloor {0.6}\right\rfloor +1\right)\\&=27+\left(3+1\right)+\left(0+1\right)\\&=27+4+1\\&=32\end{aligned}}}$

This section is incomplete. Please feel free to edit this section to add missing information and complete it. Reason: How fast do spheres grow?

Buried Spheres can also naturally grow over time. Red, Green, and Blue Spheres grow faster than Pale and Prism Spheres.