As this puzzle was constructed within a specifically designed software that produced only pdf files of the puzzle pieces and solutions, we have set up this page for those users reliant on screen-readers.
This puzzle involves 24 equilateral triangles with a different equation on each side. To ensure the puzzle is possible you will need to label the sides clockwise in the order of a, b and c. As these are equilateral triangles, the starting side (or 'side a') doesn't matter.
| Triangle ID | Side a | Side b | Side c |
|---|---|---|---|
| T01 | \[^4\sqrt256 = x + 4\] | \[5x = 100\] | \[\sqrt x = x\] |
| T02 | Blank | \[\sqrt49 + 10 = x\] | \[{3x \over 2} = 3^2\] |
| T03 | \[4x = 8\] | Blank | \[x^3 - 30 = -3\] |
| T04 | \[3x = \sqrt81\] | \[{x \over 16} = {1 \over 2}\] | \[{x \over 0.5} = 44\] |
| T05 | \[72 = 3x\] | \[{3x \over 7.5} = 6\] | \[5 \times 10 + 2 = 2x\] |
| T06 | \[x = \sqrt4\] | Blank | \[x^2 = \sqrt81\] |
| T07 | \[{12x \over 2} = 60\] | \[{32 \over 4} = 2x\] | Blank |
| T08 | Blank | \[-x = x - 2\] | \[-11 + x = 9 - x\] |
| T09 | \[3x = 27\] | \[10 + x = 25\] | \[x + 1 = 7 \times 3\] |
| T10 | \[3x - 4x = -17\] | \[2x =4^2\] | \[{x \over 3} = ^3\sqrt27\] |
| T11 | \[{30 \over x} = 10\] | Blank | \[3x = 42\] |
| T12 | Blank | \[\sqrt81 - x = 2\] | \[7x - 6 =36\] |
| T13 | \[2 - x = 1\] | \[{x \over 13} = 2\] | \[x = \sqrt25\] |
| T14 | \[3x^2 = 3\] | Blank | \[7x - 2x = 10\] |
| T15 | \[4x = \sqrt16\] | \[{4 \over 2} = x\] | \[3^3 = x - 2\] |
| T16 | Blank | \[4x + 8 = 5x\] | \[3x + 4 = 25\] |
| T17 | \[3x + 7 =10\] | \[{x \over 2} = 11\] | \[x - 13 = 4^2\] |
| T18 | \[x = \sqrt16\] | \[x = ^3\sqrt512\] | \[32 = {x^2 \over 2}\] |
| T19 | \[{25 \over x} = 5\] | \[2x + 6 = 24\] | Blank |
| T20 | \[-x^2 + 72 = 36\] | \[\sqrt49 = x\] | \[5 - x = 2\] |
| T21 | Blank | \[3x = 18\] | \[\sqrt36 - x = 1\] |
| T22 | \[x = 4^2 + 8\] | \[3x - 4x = -7\] | \[x + 8 = 14 - x\] |
| T23 | \[x = \sqrt196\] | \[5x = x^2\] | \[x + 5 = {10 \over 2}\] |
| T24 | \[3^2 = x + 1\] | Blank | \[x = 9\] |
The solution to this puzzle involves building a hexagon where touching sides share the same value of x. Click the below button to reveal the solution once you've finished or become completely stuck.
The final hexagon should have the triangles in the below arrangement. However, their orientation will still need to be calculated by you.
Top/First Row: T14, T06, T20, T12, T16
Second Row: T19, T13, T05, T22, T04, T18, T07
Third Row: T24, T10, T09, T01, T17, T15, T08
Bottom/Fourth Row: T02, T21, T23, T11, T03