Puzzle & Solution - Pyramid - Articles

[Problem & Solution]

PYRAMID

Place 8 of the integers from 1 to 10 on the edges of a pyramid such that the sum of the side values meeting at each corner is 16.

Python code:

"""
Top sides: a1 a2 a3 a4
Bottom sides: a5 a6 a7 a8

a1+a2+a3+a4=16

a1+a5+a8=16
a2+a5+a6=16
a3+a6+a7=16
a4+a7+a8=16

a5+a6+a7+a8 = 24
"""

from itertools import permutations
a = [1,2,3,4,5,6,7,8,9,10]
b = [True]*10
c24 = permutations(a,4)
d = []
for i in c24:
    if i[0] + i[1] + i[2] + i[3] == 24:
        b = [True]*10
        for k in i:
            b[k-1] = False
        d = []
        for m in range(10):
            if b[m]:
                d.append(m+1)
        
        c16 = permutations(d,4)
        for p in c16:
            if p[0] + p[1] + p[2] + p[3] == 16:
                if p[0]+i[0]+i[3]==16:
                    if p[1]+i[0]+i[1]==16:
                        if p[2]+i[1]+i[2]==16:
                            if p[3]+i[2]+i[3]==16:
                                print(i)
                                print(p)
                                print()

Info: All codes are written and solutions found by myself in this site.

Ali Eskici
13.10.2024