Hints and Solutions

Hints, pointers and solutions for all 60 levels of LX Patterns, from vague pushes in the right direction to full-blown explanations. Everything is properly spoilered.

Beginner levels I (1-10)

level 1

type: visual pattern
hint 1: you can go by columns or rows, both work
hint 2: there is wrapping
explanation: the blue square moves 1 space to the right until it wraps back
solution: white blue white

level 2

type: mathematical pattern
hint 1: this is a famous sequence
hint 2: think about addition
hint 3: the two previous entries matter
explanation: add the last two numbers to receive the next (Fibonacci sequence)
solution: 8

level 3

type: logical pattern
hint 1: think magnetism
hint 2: there is the same number of pointers and +/- symbols each time, so how do they relate?
explanation: + attracts the pointer, - repells it to the opposite position
solution: pointers to the right and to the bottom

level 4

type: visual pattern
hint 1: look at rows
hint 2: a mirror is involved
explanation: flip the left pattern vertically
solution: diagonal from top left to bottom right

level 5

type: mathematical or visual pattern
hint 1: the mathematical pattern relies on rows, the visual on columns
hint 2: every digit should be included
explanation: odd numbers in the first row, even in the second; counting up in columns
solution: 4 6

level 6

type: visual pattern
hint 1: go by rows
hint 2: there is wrapping
hint 3: shapes next to each other relate to each other
explanation: the white shape is the next grey shape (with wrapping)
solution: triangle, circle

level 7

type: visual pattern
hint 1: there is a (complicated) pattern for rows, but it is easier to find a different grouping
hint 2: there is wrapping
hint3: my preferred grouping is in pairs of horizontally adjacent tiles
explanation: within a pair every color moves 1 step to the right (with wrapping)
solution:

level 8

type: logical pattern
hint 1: look at rows
hint 2: break down the triplets into individual letters
explanation: every letter advances through the alphabet
solution: DIQ

level 9

type: visual pattern
hint 1: this is not a math or number puzzle beyond performing basic additions/subtractions/multiplications
hint 2: treat each column separately, what is different about the second column?
hint 3: compare the last item in the first column with the first item in the second column, then extrapolate from there
explanation: all the signs in the second column are rotated 45°
solution: 6 8

level 10

type: visual pattern
hint 1: the simplest solution is to ignore the top row
hint 2: the proper solution requires you to read every row left to right and find the point where something changes
explanation: red suits and black suits are adjacent, and when the color changes the suits flip 180° (the simple solution is to just rotate everything 90° clockwise from the second row, as indicated by the spade)
solution:

Beginner levels II (11-20)

level 11

type: visual pattern
hint 1: how do the green bars relate to the numbers?
explanation: the length of the bar corresponds to the number below
solution: 13

level 12

type: visual pattern with counting
hint 1: treat the pattern like a clock
hint 2: what is the value of one quarter rotation?
explanation: the indicator rotates clockwise and adds 1 to the counter for each quarter circle passed
solution: 9 10 12

level 13

type: visual pattern
hint 1: look at the whole
hint 2: tie up loose ends
explanation: just connect all loose ends so the middle tile closes the loop
solution:

level 14

type: counting pattern
hint 1: every flag corresponds to a digit on the right
hint 2: what is different about the flag that has a 2?
hint 3: don't get distracted by all the shapes and configurations
explanation: just count the number of different colours
solution: 254

level 15

type: nummerical pattern
hint 1: every triplet with a sign stands on its own, columns and rows don't matter
hint 2: looking at the requirements of the last column it stands to reason that the third number of the triplet is the result of the first two with some sort of operation applied as indicated by the sign
hint 3: notice that every triplet will always have two of the same number, so what could the sign mean?
explanation: the third number is either the higher (+) or lower (-) of the first two
solution: 7 1 7 3

level 16

type: visual pattern
hint 1: the shapes look strangely similar to the letters below, but how exactly do they relate?
explanation: letters are split in half vertically with the halfs put together
solution: LE

level 17

type: visual pattern
hint 1: look at rows
hint 2: what does the odd-one-out do?
explanation: the one circle that is different moves from left to right on each row
solution:

level 18

type: visual pattern or logical pattern
hint 1: for the visual pattern look at diagonals
hint 2: for the logical pattern consider columns and rows
explanation: the visual pattern is diagonal bands of same numbers shifted to the top left once; the logical pattern follows Sudoku rules (every number must appear exactly once on every column and row)
solution:

level 19

type: visual pattern
hint 1: rows are independent
hint 2: positions seem to stay the same, but colors change
explanation: going left to right in a row, replace each green with blue, each blue with yellow and each yellow with green (or simply choose the one color that hasn't yet appeared in that spot)
solution:

level 20

type: logical pattern
hint 1: this is a "weak" rule, meaning that knowing the rule does not allow you to predict every piece in the sequence, just this one in particular
hint 2: you need both the previous and the subsequent piece to make a correct prediction
hint 3: notice how numbers tend to increase left to right, but not necessarily for both halves
explanation: the bigger number of the previous piece becomes the left half of the next piece while the right half is a random new number (that can be discerned from the next piece in this case since it happens to be a bigger number)
solution: 4 5

Intermediate levels I (21-30)

level 21

type: nummerical pattern
hint 1: both rows and columns can show you the pattern
hint 2: look at the two digits of each number separately
explanation: hoizontally each row counts up from 1 to 5 (left to right), but in which position switches every other row; the second number counts up in each column top to bottom
solution: 51 52 53 54 55

level 22

type: visual pattern
hint 1: the example is pretty bad
hint 2: the two lines are independent from each other
hint 3: break each "character" down into parts, then apply the right transformation
explanation: each line segment is flipped vertically around it's center point to form the shape of a letter
solution: YKX

level 23

type: counting pattern
hint 1: each flag corresponds to a number
hint 2: each flag's number can be determined independently from all the other flags
hint 3: each flag's number is the sum of two parts
hint 4: both parts relate to different properties of the flag
explanation: add the number of colours and the number of areas/shapes on each flag
solution: 6610

level 24

type: visual pattern
hint 1: look at each row independently
hint 2: there is wrapping
explanation: the pattern moves down 1 tile each time (with wrapping)
solution:

level 25

type: visual pattern
hint 1: rows are independent
hint 2: the first column contains the basic shape, the second column the transformation instruction, the third column the result
hint 3: transformation only happens at places where the second shape meets a certain criterion
explanation: on the second shape, disregard sides of the center square with different states (triangle present/missing); when a side of the square has triangles present on both sides the area is subtracted from the original shape, when both triangles are missing it is added
solution:

level 26

type: counting pattern
hint 1: rows are independent and each digit of the number corresponds to one of the images in the row
hint 2: find elements of the shapes that match up with the shape's number
explanation: count all inside line segments that are horizontal or vertical (not diagonal)
solution: 220

level 27

type: mathematical pattern
hint 1: note that red numbers are upside down
hint 2: try to find a mathematical operation that produces the desired result from the four input numbers while treating blue and red numbers differently
explanation: the result comes from adding all the blue numbers and substracting the red number
solution: 9 9

level 28

type: logical pattern
hint 1: the layout is somewhat misleading - you are not looking for a third group but rather the first digits of the number
hint 2: the number has the same amount of digits as there are letters
hint 2: each digit of the number corresponds to a letter, but inverted (first letter = last digit)
explanation: each digit of the number denotes a letters position in the alphabet, starting with the last letter and going towards the first (since the "word" starts with "A" the number ends with "1")
solution: 35

level 29

type: nummerical pattern
hint 1: each 2x4 block is a separate unit
hint 2: compare the two columns of each block
hint 3: finally compare the blocks as each block follows a slight variation of the basic rule
hint 4: there is wrapping
explanation: the second column of each block is shifted upwards (with wrapping); 1 tile for the first block, 2 tiles for the second, 3 tiles for the third
solution: 7 4 4 3

level 30

type: visual pattern
hint 1: each row is independent
hint 2: the third square is the result of the first two
hint 3: two operations in sequence are required
explanation: start with the first pattern, subtract the second (take away tiles where both have blue), then vertically flip the result to get the final design
solution:

Intermediate levels II (31-40)

level 31

type: visual pattern
hint 1: all five images are in sequence
hint 2: each symbol is subject to two operations inbetween each step
hint 3: the second operation is tied to the current position, not the suit
explanation: suits are shifted along clockwise; between top left and top right a 90° clockwise rotation takes place, between top right and bottom right the orientation is kept, between bottom right and bottom left a horizontal flip takes place, between bottom left and top left a vertical flip
solution:

level 32

type: mathematical pattern
hint 1: it's really just a simple system of equations with 3 variables
explanation: If circle is 50 triangles and subtracting circle from square leaves you with 25 triangles, how many triangles must square be worth?
solution: 75

level 33

type: visual pattern
hint 1: each row is independent
hint 2: the third shape is the result of the previous two
hint 3: the required transformation is the same for both input shapes (the first is ambiguous, the second is not)
explanation: flip the shapes horizontally and combine them
solution:

level 34

type: visual pattern
hint 1: rows are independent
hint 2: each position within a triplet does a separate transformation
explanation: the first and second postion rotate 90°, the third position rotates 180°
solution:

level 35

type: visual pattern
hint 1: there is a simple row-based solution, but also a general rule that works on both rows and columns
hint 2: treat horizontal and vertical lines independent from each other and look for patterns
explanation: the simple rules is in every row each position has to be filled; the general rule is that left-to-right the vertical lines advance 1 step to the right and left-to-right plus top-to-bottom the horizontal lines advance 1 step upwards (with wrapping)
solution:

level 36

type: visual and mathematical pattern
hint 1: you have encountered all the elements previously alread (in separate puzzles)
explanation: the bars represent numbers, blue ones need to be added and red ones subtracted
solution: 6

level 37

type: visual pattern
hint 1: rows are independent
hint 2: the third image is the result of the previous two
hint 3: why does (across all three images in a row) a tile always have the same colour twice, but never once or three times?
explanation: add the patterns of the first two images and cancel out tiles where both are coloured
solution:

level 38

type: visual pattern
hint 1: rows are independent
hint 2: the third column is a result of the first two
hint 3: first circle in the third column corresponds to the first column, the second circle to the second column
explanation: the first result circles comprises of pointers that occur twice among the three circles in column 1 (put differently: look where the three circles overlap), then do the same for the second column
solution:

level 39

type: counting pattern
hint 1: rows are independent
hint 2: the fourth flag is the result of the previous three
hint 3: why do the result flags have exactly three colours?
explanation: each stripe of the result flag corresponds to one of the input flags and shows the most common colour on that flag
solution: red purple yellow

level 40

type: visual pattern
hint 1: rows are independent
hint 2: the third image is a result of the first two
hint 3: no fancy transformations
explanation: combine the patterns of the first two images in each row - if both have the same line segment they cancel out
solution:

Advanced levels I (41-50)

level 41

type: mathematical/logical pattern
hint 1: columns are independent
hint 2: the bottom card is a combination of the two above
hint 3: suits stay in their place, but combine following certain rules
explanation: two spades = diamond, two clubs = heart, if there's only one spade or club in a position it stays the same
solution:

level 42

type: logical pattern
hint 1: these are chess pieces so you should probably familiarize yourself with how they move in the boardgame chess
hint 2: all 2x3 boards are independent from each other
hint 3: don't overthink it, the example is just bad (a pawn of the same colour once moves up and another time down, which can't both be legal moves in the same game)
explanation: every piece takes their only legal move
solution:

level 43

type: logical pattern
hint 1: rows are independent
hint 2: columns two and three have the same numbers, but colum one only has numbers from 1 to 3
hint 3: column one is a key telling you how to rearrange column two
explanation: go row by row through the 9x9, put the numbers from column two into the positions told by column one (so a 2 in column one indicates to take the second number from column two)
solution: 3 4 7 | 9 0 2 | 5 8 1

level 44

type: logical pattern
hint 1: each box has a number associated with it, the number at the end of the row is just both numbers written one after the other
hint 2: this means there is a very simple solution on the table
hint 3: the general rule relies on the alphabet
explanation: since you have both an "I" and and "X" already above you can just assume the solution by taking parts from both numbers and combining them (simple solution); the general rule wants you to take each letter shown in a box (I, K, X, Y, I, X) and figure out their position in the alphabet (so I is 9 for example)
solution: 924

level 45

type: mathematical pattern
hint 1: each 9x9 grid is independent
hint 2: the second 9x9 is more useful than the first
explanation: each 9x9 has a mathematical "theme" - on the first all adjacent numbers are off by 1, on the second by 2, on the third by 3; this is true for both columns and rows, but for the solution we only need columns and the required numbers are all averages between top and bottom row (presumably to make the solution unique)
solution: 6 3 6

level 46

type: visual pattern
hint 1: this one is a bit different from previous puzzles that looked similar, so maybe re-evaluate what assumptions you have
hint 2: rows are still independent
hint 3: unlike previous puzzles, the third square of a row is not simply a result of combining the first two squares in some complicated fashion
hint 4: there are no transformations at all (rotations, flips, etc)
explanation: all three squares in a row must combine to form a "star", a square with all lines filled; the third square must therefore have all lines that have not previously been filled in by the other squares
solution:

level 47

type: visual pattern
hint 1: think back to level 22 - the theme is the same, but the mechanic is only similar
hint 2: you are still supposed to turn the figures into letters, but you do not flip every line individually like in level 22
hint 3: rows of letters form an independent pattern
explanation: letters are cut in half horizontally, then each half is flipped vertically; rows are three letters adjacent in the alphabet in ascending order
solution: form a "W" like this:

level 48

type: mathematical pattern
hint 1: columns are independent
hint 2: you can treat the bottom number like a result, but you don't have to
explanation: the bottom number is equal to the sum of the other four numbers but with a flipped sign; in other words the sum of all five numbers is equal to zero
solution: 1 5 6

level 49

type: visual pattern
hint 1: rows are independent
hint 2: the same operation is performed between each two adjacent tiles on a row
explanation: rotate 90° each step
solution:

level 50

type: logical/mathematical pattern
hint 1: first to explain what you are even seeing: the circles are akin to clocks with a single indicator rotating in a clockwise direciton; on the left you see examples that are supposed to teach you the rules; the coloured dots represent increments of time added to an unknown starting time; on the left you have known starting times (without any dots) and are supposed to add the intervals you have determined
hint 2: this makes the left half an equation system with three unknown variables: R (red), P (purple) and C (cyan).
hint 3: the cleanest mathematical way of expressing the "time" intervals needed for this problem is in eights of roations (or 7.5 min if you prefer to stick with clocks)
hint 4: sample solving step using the first example: adding R to the unknown starting time puts us at full rotation (top of the hour), adding a further CPP puts us at 3/4, so CPP = 6/8. Now try to use this information in the second example where you see the difference C and PP add to the same (again unknown) starting time.
explanation: P = 1/8, R = 2/8, C = 4/8, now apply the apropriate rotations to the given starting times on the right
solution:

Advanced levels I (51-60)

level 51

type: mathematical pattern
hint 1: blocks of 8x2 are independent
hint 2: treat columns independently
explanation: the fourth digit is the modulo 10 of the sum of the three digits above (modulo 10 means the remainder of a division by 10, so add everything up and "disregard" whatever is in the "tens" position, e.g. 7+8 would become 5 since the "1" in 15 does not matter); note that the official explanation is different, but I find it less elegant and intuitive since it relies on two separate rules to determine each digit instead of my one rule that works for both
solution: 7 3

level 52

type: visual pattern
hint 1: rows are independent
hint 2: every stripe on the final flag corresponds to one of the previous flags
hint 3: the flag patterns do not matter
explanation: three colours per row, two colours per flag - the final stripes are the colours missing from the respective flags
solution: yellow, cyan, purple

level 53

type: mathematical pattern
hint 1: rows are independent
hint 2: treat each digit as independent as well
explanation: add 1 to the first digit, 2 to the second, 3 to the thrid, 4 to the fourth
solution: 6 6 3 6

level 54

This one is rough since you can come up with many viable patterns.
type: visual/logical pattern
hint 1: rows are independent
hint 2: you can determine the circle colours without looking at their pointers
hint 3: circles have pointers - what are they pointing at?
hint 4: the first circle consistently matches the box in terms of color - maybe that also tells you why they all seem to have the same pointer style?
hint 5: for the solution you will need to use pointers that haven't been used in any of the examples
explanation: in all three boxes of any given row the circle colours are consistent, just with shuffled positions (meaning you need red/blue/blue for your target); the first circle always matches the box colour and always points up and down; the other two circle pointers point towards all the boxes that match the circle's colour
solution:

level 55

type: visual pattern
hint 1: each shape corresponds with a number
hint 2: all shapes can have their number determined independently from all other shapes
hint 3: the number is determined by counting
hint 4: you are looking for instances of a certain geometric shape
explanation: the final number is comprised of the number of unique triangles that can be traced in each shape (including its square border)
solution: 608

level 56

type: visual pattern
hint 1: each digit in a three-digit number corresponds to a single letter in the three-letter "word"
hint 2: don't think of them as letters
hint 3: the digit is determined by counting
hint 4: look at the letters purely as geometric shapes
hint 5: look on the "inside" of each shape, the outside does not matter
explanation: the number counts the inside "corners"/angles of each letter shape (seems pretty arbitrary to be honest - every time two lines meet they form an angle, so why do only some count?)
solution: 341

level 57

type: mathematical pattern
hint 1: each pyramid is independent
hint 2: a block is determined by the two blocks below it
explanation: for every two horizontally adjacent numbers, the number inbetween them (their average) rests on top
solution: 4 | 3 5

level 58

type: logical/mathematical pattern
hint 1: each suit has a value; the number below a card is the sum of all suits
hint 2: you can treat it like a system of equations or you can just look at it logically since its so simple: the first and fourth card let you determine the values of spades and diamonds, the other suits fall into place from that
explanation: spade = 1, diamond = 2, heart = 4, club = 5
solution: 8 7 8

level 59

type: logical pattern
hint 1: rows are independent (the examples are very misleading so this is well disguised)
hint 2: the third flag is a result of the first two
hint 3: two input colours will always produce the same result
explanation: "add" the first two flags using the colour patterns from the examples; cyan and red always turn to yellow, etc.
solution:

level 60

Another one that has just too many competing patterns.
type: counting/visual/logical pattern
hint 1: the massive number can be broken down into (many) parts
hint 2: not all parts have equal length
hint 3: you are looking for a three digit target
hint 4: there are some interesting patterns in triplets - every three digits from the start seem to decrease by 18, and excluding the last two digits every three digits from the back seem to increase in 18 - I was way over-thinking it, but there is some relevant information here. why 18? right after the ? area is the middle of the number and something must change there, but what? and why do the last two digits fall out of the pattern?
hint 5: when I described it as a "counting" pattern I really mean it, it's probably more primitive than you thought
hint 6: there are twenty parts all together and your target number contains two of them
hint 7: the parts of the whole are every number from 1 to 20, but following a peculiar pattern
explanation: it is two intertwined sequences smooshed together, one counting down the odd numbers from 19 towards 1 and one counting up the even numbers from 2 towards 20; around the middle point the first sequence switches to single digits and the second switches to double digits which throws off all those fancy patterns you were probably look at
solution: 811