The octal games are a class of two-player games that involve removing tokens (game pieces or stones) from heaps of tokens.
They have been studied in combinatorial game theory as a generalization of Nim, Kayles, and similar games.[1][2]
Octal games are impartial meaning that every move available to one player is also available to the other player.
They differ from each other in the numbers of tokens that may be removed in a single move, and (depending on this number) whether it is allowed to remove an entire heap, reduce the size of a heap, or split a heap into two heaps. These rule variations may be described compactly by a coding system using octal numerals.
^Berlekamp, Elwyn R.; John H. Conway; Richard K. Guy (1982). Winning Ways for your Mathematical Plays. Vol. 1. Academic Press. ISBN 0-12-091101-9. Revised and reprinted as Winning Ways for your Mathematical Plays (2nd ed.). A K Peters Ltd. 2004. ISBN 1-56881-130-6.
^
Conway, John Horton (1976). On numbers and games. Academic Press. ISBN 0-12-186350-6. Revised and reprinted as
— (2000). On numbers and games. A K Peters Ltd. ISBN 1-56881-127-6.
The octal games are a class of two-player games that involve removing tokens (game pieces or stones) from heaps of tokens. They have been studied in combinatorial...
Octal (base 8) is a numeral system with eight as the base. In the decimal system, each place is a power of ten. For example: 74 10 = 7 × 10 1 + 4 × 10...
Treblecross is a degenerate tic-tac toe variant. The game is an octalgame, played on a one-dimensional board and both players play using the same piece...
root meaning "eight") + tree. Octrees are often used in 3D graphics and 3D game engines. Each node in an octree subdivides the space it represents into eight...
the end of the game. Android Nim Chomp Dr. NIM Fibonacci nim Fuzzy game Hackenbush Nimber Notakto Octal games Raymond Redheffer Star (game theory) Subtract...
hexadecimal numbers: 16r5a3, 16rC1F27ED. Binary, quaternary (base-4) and octal numbers can be specified similarly. The most common format for hexadecimal...
(quad data rate) in reference to the write command clock (WCK) and ODR (Octal Data Rate) in reference to the command clock (CK). The finalized specification...
or two adjacent pins, until all the pins are gone. Using the notation of octal games, Kayles is denoted 0.77. Kayles is played with a row of tokens, which...
two such games have the same P-positions and N-positions. Grundy's game and octal games, generalizations of subtraction games in which a move may split...
today handle data in units or groups of 8-bit bytes. Hexadecimal and also octal are common because these digits allow one to see which bits in a byte are...
when written in binary. 8 is the base of the octal number system, which is mostly used with computers. In octal, one digit represents three bits. In modern...
digits) can be used for compact representation of ternary, similar to how octal and hexadecimal systems are used in place of binary. In certain analog logic...
SRAM Capable of connecting to external PSRAM and Flash via Quad SPI or Octal SPI, and share the same 32 MiB address space Ultra-low power RISC-V (RV32IMC)...
8/28/2023, this has been discontinued. "binary", "hex", "hexadecimal" and "octal" showed the number of search results in the respective numeral system. This...
hosts that choose to provide it) by opening a connection to port 107 (153 octal). ... Butler, M.; Postel, J.; Chase, D.; Goldberger, J.; Reynolds, J. K...
MR 1311026. Zbl 0832.00001. Sung, Kelvin; Smith, Gregory (2019). Basic Math for Game Development with Unity 3D: A Beginner's Guide to Mathematical Foundations...
a significant milestone. The record number of points scored in one NBA game by a single player, set by Wilt Chamberlain of the Philadelphia Warriors...
rate) may be used in reference to the write command clock (WCK) and ODR (Octal Data Rate) in reference to the command clock (CK). Micron Technology began...
Flash memory: 2 MB NOR, 1Mx16 boot block, 3.3 V Bus switch: Low voltage octal FET bus switch ATA driver: 8-bit bus transceiver/driver Audio: Wolfson WM8978...
divisible by four thrice over, is a Harshad number in all bases except octal. A four-sided plane figure is a quadrilateral or quadrangle, sometimes also...
Global Information