Converting Cube Coordinates of Hexagon Maps into Matrices
$begingroup$
I came across an article here that has discussed three types of hexagonal coordinate system (square, parity, and cube) as shown in this figure and their transformed matrices (equation (1), (2), and (3) in this link are the converted matrices of square, parity, and cube coordinates respectively). While the matrix conversion of the square and parity coordinates can be easily inferred from the concept of a 2-D matrix, but the three-dimensional matrix conversion of the cube coordinates is not clear from the article.
My question is how they have made the three-dimensional matrix from the cube coordinates? I queried in google regarding this type of conversion, but I am not getting any detailed illustration.
matrices matrix-equations
$endgroup$
add a comment |
$begingroup$
I came across an article here that has discussed three types of hexagonal coordinate system (square, parity, and cube) as shown in this figure and their transformed matrices (equation (1), (2), and (3) in this link are the converted matrices of square, parity, and cube coordinates respectively). While the matrix conversion of the square and parity coordinates can be easily inferred from the concept of a 2-D matrix, but the three-dimensional matrix conversion of the cube coordinates is not clear from the article.
My question is how they have made the three-dimensional matrix from the cube coordinates? I queried in google regarding this type of conversion, but I am not getting any detailed illustration.
matrices matrix-equations
$endgroup$
add a comment |
$begingroup$
I came across an article here that has discussed three types of hexagonal coordinate system (square, parity, and cube) as shown in this figure and their transformed matrices (equation (1), (2), and (3) in this link are the converted matrices of square, parity, and cube coordinates respectively). While the matrix conversion of the square and parity coordinates can be easily inferred from the concept of a 2-D matrix, but the three-dimensional matrix conversion of the cube coordinates is not clear from the article.
My question is how they have made the three-dimensional matrix from the cube coordinates? I queried in google regarding this type of conversion, but I am not getting any detailed illustration.
matrices matrix-equations
$endgroup$
I came across an article here that has discussed three types of hexagonal coordinate system (square, parity, and cube) as shown in this figure and their transformed matrices (equation (1), (2), and (3) in this link are the converted matrices of square, parity, and cube coordinates respectively). While the matrix conversion of the square and parity coordinates can be easily inferred from the concept of a 2-D matrix, but the three-dimensional matrix conversion of the cube coordinates is not clear from the article.
My question is how they have made the three-dimensional matrix from the cube coordinates? I queried in google regarding this type of conversion, but I am not getting any detailed illustration.
matrices matrix-equations
matrices matrix-equations
edited Jan 3 at 13:44
Md. Hishamur Rahman
asked Jan 3 at 13:07
Md. Hishamur RahmanMd. Hishamur Rahman
14
14
add a comment |
add a comment |
0
active
oldest
votes
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3060541%2fconverting-cube-coordinates-of-hexagon-maps-into-matrices%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3060541%2fconverting-cube-coordinates-of-hexagon-maps-into-matrices%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown