NextColony - checking if the 8 explored planets are valid

Some users have been wondering why 6 of 8 explored planets are near another planet:

The chance to find a new planet is 1%. At the moment 930 space coordinates have been explored and 8 planets were found. The current rate is 0.86 %, which is slightly below 1%.

The chance of finding only empty space around the start planet is

99/100 * 99/100 * 99/100 * 99/100 * 99/100 * 99/100 * 99/100 * 99/100 = 0.9227

Thus the chance of finding a planet near the start planet is 0.0774, or 1 of 12.9 found planets should be near the start planet.

At the moment 6 of 8 are near the start planet. This can be explained by the law of large numbers.

The law says that the sample average converges to the expected value for Infinitive trials. So when more and more planets have been found, we should converge to a rate of 1 to 12.9 explored planets that have been explored near the start planet.

Checking all found planets

With the following python script, it is possible to validate the 8 found planets. In order to check if a planet is valid, the transaction id of the explorespace custom_json and the block_num of the virtual explore operation is needed. When the explorespace mission is started, the distance to the goal is calculated and the arrival time is determined. This arrival time defines then the block number of the virtual explore operation.

from beem.block import Block
import hashlib
import datetime
import random
from collections import OrderedDict

def set_seed(seed):
    random.seed(a=seed, version=2)

def get_is_empty_space():
    return random.random() >= 0.01

def get_was_planet_found(block_num, trx_id):
    block = Block(block_num)
    seed = hashlib.md5((trx_id + block["block_id"] + block["previous"]).encode()).hexdigest()     
    set_seed(seed)        
    found = not get_is_empty_space()    
    return found

if __name__ == '__main__':
   
    planet_found_list = [OrderedDict([('id', 35),
              ('user', 'reggaemuffin'),
              ('date', datetime.datetime(2019, 4, 30, 13, 56, 33)),
              ('c_hor', 183),
              ('c_ver', -175),
              ('trx_id', 'ca7093442b53ea5186b4ebecb56570e27e68ed58'),
              ('block_num', 32498931),
              ('planet_id', 'P-ZT52Y2YAEOW')]),
 OrderedDict([('id', 81),
              ('user', 'mancer-sm-alt'),
              ('date', datetime.datetime(2019, 5, 1, 6, 50, 45)),
              ('c_hor', 91),
              ('c_ver', 267),
              ('trx_id', 'dcd914ae73de12a876b9c9688ae54d7574fc79fa'),
              ('block_num', 32519195),
              ('planet_id', 'P-ZIY07VLIZXC')]),
 OrderedDict([('id', 273),
              ('user', 'flauwy'),
              ('date', datetime.datetime(2019, 5, 2, 23, 6, 18)),
              ('c_hor', -227),
              ('c_ver', 209),
              ('trx_id', '29dcd2d88eba9aaa2f413e3a36fac83a69e72a33'),
              ('block_num', 32567483),
              ('planet_id', 'P-ZU1JXAEU4KW')]),
 OrderedDict([('id', 283),
              ('user', 'hanzappedfirst'),
              ('date', datetime.datetime(2019, 5, 3, 0, 56, 48)),
              ('c_hor', 78),
              ('c_ver', -198),
              ('trx_id', '3fddd68f03eedae6dd93970c9d15cc5ff6f0db01'),
              ('block_num', 32569691),
              ('planet_id', 'P-ZBPUNEE2NMO')]),
 OrderedDict([('id', 438),
              ('user', 'kissi'),
              ('date', datetime.datetime(2019, 5, 4, 5, 40, 51)),
              ('c_hor', -221),
              ('c_ver', 175),
              ('trx_id', 'c1f4e868160ca9160f28d426c2738429a8d7ee0e'),
              ('block_num', 32604121),
              ('planet_id', 'P-Z8LN8NEOGE8')]),
 OrderedDict([('id', 737),
              ('user', 'uraniumfuture'),
              ('date', datetime.datetime(2019, 5, 5, 18, 51, 15)),
              ('c_hor', -35),
              ('c_ver', -217),
              ('trx_id', 'b808dafaa97bf34f17fe7a71c20ed6ebb767d103'),
              ('block_num', 32648704),
              ('planet_id', 'P-ZCQ6XF6HTSW')]),
 OrderedDict([('id', 797),
              ('user', 'fantasycrypto'),
              ('date', datetime.datetime(2019, 5, 6, 0, 39, 13)),
              ('c_hor', -290),
              ('c_ver', -42),
              ('trx_id', '646c4548d666293e547d4ab0f19f5a1e38930c3a'),
              ('block_num', 32655660),
              ('planet_id', 'P-Z1L0K1F5PPS')]),
 OrderedDict([('id', 866),
              ('user', 'lordvader'),
              ('date', datetime.datetime(2019, 5, 6, 7, 28, 19)),
              ('c_hor', -289),
              ('c_ver', -167),
              ('trx_id', 'e03e7a66310f67b69e82714a071892dd144caf7c'),
              ('block_num', 32663837),
              ('planet_id', 'P-ZHYWH6QELGG')])]
    
    print("Found %d planets" % len(planet_found_list))
    print("| vops block num | custom_json trx_id | uid | valid |")
    print("| --- | --- | --- | --- |")
    for data in planet_found_list:
        found = get_was_planet_found(data["block_num"], data["trx_id"])
        print("| %d | %s | %s | %s |" % (data["block_num"], data["trx_id"], data["planet_id"], str(found)))

The result of the script is the following:

vops block num	custom_json trx_id	uid	valid
32498931	ca7093442b53ea5186b4ebecb56570e27e68ed58	P-ZT52Y2YAEOW	True
32519195	dcd914ae73de12a876b9c9688ae54d7574fc79fa	P-ZIY07VLIZXC	True
32567483	29dcd2d88eba9aaa2f413e3a36fac83a69e72a33	P-ZU1JXAEU4KW	True
32569691	3fddd68f03eedae6dd93970c9d15cc5ff6f0db01	P-ZBPUNEE2NMO	True
32604121	c1f4e868160ca9160f28d426c2738429a8d7ee0e	P-Z8LN8NEOGE8	True
32648704	b808dafaa97bf34f17fe7a71c20ed6ebb767d103	P-ZCQ6XF6HTSW	True
32655660	646c4548d666293e547d4ab0f19f5a1e38930c3a	P-Z1L0K1F5PPS	True
32663837	e03e7a66310f67b69e82714a071892dd144caf7c	P-ZHYWH6QELGG	True

Checking all found empty space coordinates

I did the same for all 930 found empty spaces with the following results:

Found 930 empty spaces
930 / 930 are valid

I used the slightly modified get_empty_space_found function:

def get_empty_space_found(block_num, trx_id):
    block = Block(block_num)
    seed = hashlib.md5((trx_id + block["block_id"] + block["previous"]).encode()).hexdigest()     
    set_seed(seed)        
    notfound = get_is_empty_space()    
    return notfound

Conclusion

All eight planets and all 930 explored coordinates are valid. The distance to the start planet does not play a role, only the transaction id of the custom_json and the block_id and the previous id of the first block after the arrival time.