Galactonite

Details:

There are 19 types of Galactonite each as 2 main properties, level and star. Level can be upgraded using crystal energy, but the number of star (or quality) is determined at fusion of shards and can not be altered. The effect of certain star galactonite can be determined by multiplying the base effect by a value given by its starness. The maximum level galactonite level that can be reached is 11, even through it shows upgrade costs for level 12.

The crystals and forms:

Number of stars	Form	Representation
1 star	Triangle shape
2 stars	Square shape
3 stars	Hexagon shape
4 stars	Rhombus shape
5 stars	Rhombus shape with sharp point
6 stars	Pentagon Shape

1-Star: x1 Base effect. 2-Star: x3 Base effect. 3-Star: x5 Base effect. 4-Star: x7 Base effect. 5-Star: x9 Base effect. 6-Star:x? Base effect.

All Galactonite management is done via the Galactonite Research Center

Shards, effects, and scaling per star.

Shard Name	Effect	1 star	2 star	3 star	4 star	5 star	6 star
Flaming Crystals	Fleet Attack	+11%	+33%	+55%	+77%
Pink Galactonite	Fleet Armor and Gas Consumption	+7% Armor -2% Gas	+21% Armor -6% Gas	+35% Armor -10% Gas	+49% Armor -14% Gas
Metal Galactonite	Metal Production	+25%	+75%	+125%	+175%	+225%
Cloud Galactonite	Gas Production	+39%	+117%	+195%	+273%	+351%
Blue Galactonite	Crystal Production	+28%	+84%	+140%	+196%	+252%
Concentrated Galactonite	Fleet Armor	+12%	+36%	+60%	+84%
Indigo Galactonite	Metal Production and Fleet Armor	+20% Metal +7% Armor	+60% Metal +21% Armor	+100% Metal +35% Armor	+140% Metal +49% Armor
Galactonite Shield	Fleet Energy (Shield)	+5%	+16%	+27%	+38%	+49%
Aqua Galactonite	Crystal Production and Exploration Speed	+25% Crystal +2% Speed	+75% Crystal +7% Speed	+125% Crystal +12% Speed	+175% Crystal +17% Speed	+225% Crystal +22% Speed
Rouge Galactonite	Fleet Shield and Exploration Speed	+5% Shield +2% Speed	+15% Shield +7% Speed	+25% Shield +12% Speed	+35% Shield +17% Speed
Orange Galactonite	Fleet Armor and Flight Speed	+7% Armor +2% Speed	+21% Armor +6% speed	+35% Armor +10% Speed	+49% Armor +14% Speed
Yellow Galactonite	Gas Production and Flight Speed	+30% Gas +2% Speed	+90% Gas +6% Speed	+150% Gas +10% Speed	+210% Gas +14% Speed	+270% Gas +18% Speed
Beige Galactonite	Fleet Shield and Gas Consumption	+15% Shield +7% Speed				+58% Attack -18% Gas
Purple Galactonite	Fleet Attack and Flight Speed		+21% Armor +6% Gas			+58% Attack +18% Speed
Cobalt Galactonite	Fleet Armor and Fleet Attack

Scaling with Level

Upgrading a 2 star Cloud Galactonite increased production from 117% to 136%(+16.2%) at a cost of 40 energy

Upgrading a 2 star Metal Galactonite increased production from 75% to 87%(+16%) at a cost of 40 energy

Upgrading a 3 star Blue Galactonite increased production from 140% to 158%(+12.6%)  at a cost of 265 energy

Upgrading a 4 star Metal Galactonite increased production from 175% to 195%(+11.4%)  at a cost of 1080 energy

More examples needed to determine how upgrading scales, potentially differently for different star qualities

Enerygy cost of upgrading Galactonites

Upgrade	1 star	2 star	3 star	4 star	5 star	6 star
to 2	10	40	265	1,080	4,000	30,000
to 3	25	100	663	2,700	10,000	75,000
to 4	63	250	1,657	6,750	25,000	187,500
to 5	157	625	4,141	16,875	62,500	468,750
to 6	391	1,563	10,352	42,188	156,250	937,500
to 7	977	3,907	25,879	105,469	390,625	1,875,000
to 8	2,442	9,766	64,698	263,672	975,563	3,3750,00
to 9	6,104	24,415	161,744	659,180	2,441,406	7,324,219
to 10	15,259	61,036	404,358	1,647,950	4,882,813	18,310,547
to 11	38,147	152,588	1,010,895	4,119,875	12,207,031	45,776,368
to 12	95,368	381,470	2,527,238	8,239,750	30,517,578	114,440,920
Formula	$10*2.5^v$	$40*2.5^v$	$265*2.5^v$	$1080*2.5^v$	$4000*2.5^v$	$30000*2.5^v$

Formula for Calculating % Increase

$x*(1+2*(s-1))+x*(s+1)*(v-1)/6$

Where x is the seed value listed below, v is the level of the shard, and s is how many stars the shard has. All of the values afterwards must be rounded down.

Seed Values:

Concentrated Galactonite: 12

Flaming Galactonite: 11

Shield Galactonite: 5.5

Metal Galactonite: 25

Blue Galactonite: 28

Cloud Galactonite: 39