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a solution to the puzzle: consider each of the 4 wheels as a 16x4 matrix with zeros for all of the open or always covered areas: wheel1 = 2, 15, 23, 19, 3, 2, 3, 27, 20, 11, 27, 10, 19, 10, 13, 10, 22, 9, 5, 10, 5, 1, 24, 2, 10, 9, 7, 3, 12, 24, 10, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0;wheel2 = 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 10, 0, 15, 0, 6, 0, 9, 0, 16, 0, 17, 0, 2, 0, 8, 24, 8, 3, 6, 15, 22, 6, 1, 1, 11, 27, 14, 5, 5, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0;wheel3 = 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 10, 0, 2, 0, 22, 0, 2, 0, 17, 0, 15, 0, 14, 8, 6, 3, 1, 6, 10, 6, 10, 2, 6, 10, 4, 1, 5, 5, 4;wheel4 = 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 10, 0, 6, 0, 13, 0, 3, 0, 3, 0, 6, 0, 10; then assemble a puzzle in any configuration by rotating and assembling the matrices: configa4_, a3_, a2_ := MapThread First@Cases##, i_ ; i > 0 &, RotateLeftwheel4, 0, a4, RotateLeftwheel3, 0, a3, RotateLeftwheel2, 0, a2, wheel1, 2 The configurations in the two images are: config0, 0, 0 MatrixFormconfig15, 2, 1 MatrixForm There are only 16^3 configuration, so try all: sol = First @ Select##, Total @ Transposeconfig# & @ TuplesRange0, 15, 3, Union@#2 == 40 &;(result = configsol1) MatrixForm Total @ Transposeresult 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40 Ill add if someone was after an efficient algorithm to solve this by hand note that that the overall total must be 16*40=640. Moving each wheel 2 spots reveals the same numbers, so there are only 8 possible overall totals, only one of which is 640. Working out those 8 cases reveals that each wheel position is determined Mod2, and importantly the exposed numbers on the second ring of the base must be 9,10,1,2,9,3,24,9. Once there, there are only 8^2=64 ways to position the inner two wheels which one could easily work through manually turning the wheels. Please note international shipping times have been effected by Covid-19. Not all shipments will be impacted; however, there is a chance your order will experience a moderate to significant increase in transit time. If it seems your package is taking longer than normal be sure to check the tracking link and contact your local Post.Please see below for for a Q&A conducted among me and myself regarding International shipping. If you have any additional questions or need clarification please contact me directly. Q: Do you ship your escape room puzzles internationally?A: Yes! We should all around the world.Q: What is the cost of international shipping?A: Cost will vary depending upon the overall weight of your order. Fortunately, we have a fantastic partnership when it comes to international shipping rates which will save you money.Q: How do I take advantage of your discounted international shipping rates?A: It is very easy. Simply select your country from the pop-up window or the dropdown box at the top of the page. This will translate the site to your native language and currency. Not only will this activate the international shipping platform, but allow you to browse our site in your language and currency.Q: How long does it normally take for international shipments to arrive?A: Travel time varies country to country. Expect around 15 days.Q: I cant wait that long is there any option to receive my puzzles faster?A: Indeed there is. If you do not mind paying more for shipping I can have them sent via DHL. The shipping time for this service is normally 2-5 days. If you would like to use this shipping option please contact me directly as it is not available through the website. Q: What about Customs?A: Each country handles Customs duties differently. If you are concerned over what the duty may be on your order I suggest checking your Countrys rates prior to completing your order. Q: How much will Customs cost?A: This also varies with each Country. It is important to note you as the receiver of the shipment are responsible for paying any and all taxesdutiesfees imposed by your Country. ICreative Escape Rooms are not responsible for any taxesdutiesfees imposed by your Country.Q: How long does it take for you to ship an order?A: This is a tricky one as it really depends upon what you order. Some puzzles (such as mazes) take longer to make than a cipher wheel or lobby puzzle. Often times I can have an order ready to ship within 5 business days. Other factors such as custom requestsengraving will increase lead time.Q: Why is my order shipping to Folcroft, PA. I do not even live in the United States?!A: The address shown in Folcroft, PA is an International Shipping Hub. From there your puzzles will be redirected to you. The confirmation Email sent after placing your order contains another link with more detailed shippingtracking information.
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