@formulas
42Bringing to your feed the most elegant, important and memorable formulas in science.π¬
steemit.com/@formulasVOTING POWER100.00%
DOWNVOTE POWER100.00%
RESOURCE CREDITS100.00%
REPUTATION PROGRESS90.57%
Net Worth
0.271USD
STEEM
4.680STEEM
SBD
0.000SBD
Effective Power
1.219SP
βββ Own SP
0.000SP
βββ Incoming DelegationsDeleg
+1.219SP
Detailed Balance
| STEEM | ||
| balance | 4.680STEEM | STEEM |
| market_balance | 0.000STEEM | STEEM |
| savings_balance | 0.000STEEM | STEEM |
| reward_steem_balance | 0.000STEEM | STEEM |
| STEEM POWER | ||
| Own SP | 0.000SP | SP |
| Delegated Out | 0.000SP | SP |
| Delegation In | 1.219SP | SP |
| Effective Power | 1.219SP | SP |
| Reward SP (pending) | 0.000SP | SP |
| SBD | ||
| sbd_balance | 0.000SBD | SBD |
| sbd_conversions | 0.000SBD | SBD |
| sbd_market_balance | 0.000SBD | SBD |
| savings_sbd_balance | 0.000SBD | SBD |
| reward_sbd_balance | 0.000SBD | SBD |
{
"balance": "4.680 STEEM",
"savings_balance": "0.000 STEEM",
"reward_steem_balance": "0.000 STEEM",
"vesting_shares": "0.000000 VESTS",
"delegated_vesting_shares": "0.000000 VESTS",
"received_vesting_shares": "1983.554640 VESTS",
"sbd_balance": "0.000 SBD",
"savings_sbd_balance": "0.000 SBD",
"reward_sbd_balance": "0.000 SBD",
"conversions": []
}Account Info
| name | formulas |
| id | 1209243 |
| rank | 1,480,572 |
| reputation | 75581638952 |
| created | 2019-01-30T11:37:54 |
| recovery_account | steem |
| proxy | None |
| post_count | 14 |
| comment_count | 0 |
| lifetime_vote_count | 0 |
| witnesses_voted_for | 2 |
| last_post | 2019-03-06T17:27:54 |
| last_root_post | 2019-03-06T17:27:54 |
| last_vote_time | 2025-12-08T11:12:12 |
| proxied_vsf_votes | 0, 0, 0, 0 |
| can_vote | 1 |
| voting_power | 9,799 |
| delayed_votes | 0 |
| balance | 4.680 STEEM |
| savings_balance | 0.000 STEEM |
| sbd_balance | 0.000 SBD |
| savings_sbd_balance | 0.000 SBD |
| vesting_shares | 0.000000 VESTS |
| delegated_vesting_shares | 0.000000 VESTS |
| received_vesting_shares | 1983.554640 VESTS |
| reward_vesting_balance | 0.000000 VESTS |
| vesting_balance | 0.000 STEEM |
| vesting_withdraw_rate | 0.000000 VESTS |
| next_vesting_withdrawal | 1969-12-31T23:59:59 |
| withdrawn | 8436116832 |
| to_withdraw | 8436116832 |
| withdraw_routes | 0 |
| savings_withdraw_requests | 0 |
| last_account_recovery | 1970-01-01T00:00:00 |
| reset_account | null |
| last_owner_update | 1970-01-01T00:00:00 |
| last_account_update | 2019-02-26T07:45:30 |
| mined | No |
| sbd_seconds | 0 |
| sbd_last_interest_payment | 2021-04-28T10:55:36 |
| savings_sbd_last_interest_payment | 1970-01-01T00:00:00 |
{
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"memo_key": "STM59wsrCFrvrYyUGj4mahZJgEyaUSQwBo2qZgfX9qrGM4H8qdbgx",
"json_metadata": "{\"profile\":{\"name\":\"formulas\",\"about\":\"Bringing to your feed the most elegant, important and memorable formulas in science.π¬\",\"website\":\"https://www.instagram.com/formulas_for_your_comfort/\",\"location\":\"France\",\"cover_image\":\"https://cdn.steemitimages.com/DQmNo7pNnGJVLNVkYtAArzVW14GK6Y9CXnUPMYywKjnbXan/Screenshot_20190103-180422.jpg\",\"profile_image\":\"https://cdn.steemitimages.com/DQmep6uxzewDhQ6BXyM5c1XQffJabT9WoxhVmfa6ire6kxk/Screenshot_20181103-193141-06.jpeg\"}}",
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"proxy": "",
"last_owner_update": "1970-01-01T00:00:00",
"last_account_update": "2019-02-26T07:45:30",
"created": "2019-01-30T11:37:54",
"mined": false,
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"reset_account": "null",
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"vesting_shares": "0.000000 VESTS",
"delegated_vesting_shares": "0.000000 VESTS",
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"vesting_withdraw_rate": "0.000000 VESTS",
"next_vesting_withdrawal": "1969-12-31T23:59:59",
"withdrawn": "8436116832",
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"curation_rewards": 5,
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"last_post": "2019-03-06T17:27:54",
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"post_bandwidth": 0,
"pending_claimed_accounts": 0,
"vesting_balance": "0.000 STEEM",
"reputation": "75581638952",
"transfer_history": [],
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"witness_votes": [
"steemitboard",
"themadcurator"
],
"tags_usage": [],
"guest_bloggers": [],
"rank": 1480572
}Withdraw Routes
| Incoming | Outgoing |
|---|---|
Empty | Empty |
{
"incoming": [],
"outgoing": []
}From Date
To Date
formulasupvoted (100.00%) @chorock / 100-week-moving-average-is-the-solid-support-on-bitcoin-price-chart2025/12/08 11:12:12
formulasupvoted (100.00%) @chorock / 100-week-moving-average-is-the-solid-support-on-bitcoin-price-chart
2025/12/08 11:12:12
| voter | formulas |
| author | chorock |
| permlink | 100-week-moving-average-is-the-solid-support-on-bitcoin-price-chart |
| weight | 10000 (100.00%) |
| Transaction Info | Block #101534467/Trx 52e035a663a5c4e748be2293a4aadec865fddfb2 |
View Raw JSON Data
{
"trx_id": "52e035a663a5c4e748be2293a4aadec865fddfb2",
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"timestamp": "2025-12-08T11:12:12",
"op": [
"vote",
{
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"permlink": "100-week-moving-average-is-the-solid-support-on-bitcoin-price-chart",
"weight": 10000
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]
}2021/04/28 17:03:18
2021/04/28 17:03:18
| current owner | dragonq |
| current orderid | 1617469649 |
| current pays | 4.680 STEEM |
| open owner | formulas |
| open orderid | 1619607331 |
| open pays | 0.529 SBD |
| Transaction Info | Block #53284211/Trx ec602414b3b72e21fcef802ae5f41a0acbfffb6e |
View Raw JSON Data
{
"trx_id": "ec602414b3b72e21fcef802ae5f41a0acbfffb6e",
"block": 53284211,
"trx_in_block": 4,
"op_in_trx": 0,
"virtual_op": 5,
"timestamp": "2021-04-28T17:03:18",
"op": [
"fill_order",
{
"current_owner": "dragonq",
"current_orderid": 1617469649,
"current_pays": "4.680 STEEM",
"open_owner": "formulas",
"open_orderid": 1619607331,
"open_pays": "0.529 SBD"
}
]
}formulasblockchain operation: limit order create2021/04/28 10:55:36
formulasblockchain operation: limit order create
2021/04/28 10:55:36
| owner | formulas |
| orderid | 1619607331 |
| amount to sell | 0.529 SBD |
| min to receive | 4.680 STEEM |
| fill or kill | false |
| expiration | 2021-05-25T10:52:13 |
| Transaction Info | Block #53276919/Trx c44a03dfd6c8ac0a23530eb73195f83043add873 |
View Raw JSON Data
{
"trx_id": "c44a03dfd6c8ac0a23530eb73195f83043add873",
"block": 53276919,
"trx_in_block": 3,
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"virtual_op": 0,
"timestamp": "2021-04-28T10:55:36",
"op": [
"limit_order_create",
{
"owner": "formulas",
"orderid": 1619607331,
"amount_to_sell": "0.529 SBD",
"min_to_receive": "4.680 STEEM",
"fill_or_kill": false,
"expiration": "2021-05-25T10:52:13"
}
]
}formulassent 4.457 STEEM to @deepcrypto8- "106161269"2021/04/28 10:53:45
formulassent 4.457 STEEM to @deepcrypto8- "106161269"
2021/04/28 10:53:45
| from | formulas |
| to | deepcrypto8 |
| amount | 4.457 STEEM |
| memo | 106161269 |
| Transaction Info | Block #53276882/Trx fa78573a17725982cd6d1bc28c9ca614555b77ab |
View Raw JSON Data
{
"trx_id": "fa78573a17725982cd6d1bc28c9ca614555b77ab",
"block": 53276882,
"trx_in_block": 6,
"op_in_trx": 0,
"virtual_op": 0,
"timestamp": "2021-04-28T10:53:45",
"op": [
"transfer",
{
"from": "formulas",
"to": "deepcrypto8",
"amount": "4.457 STEEM",
"memo": "106161269"
}
]
}formulasreceived 1.115 STEEM from power down installment (1.297 SP)2021/03/22 10:55:36
formulasreceived 1.115 STEEM from power down installment (1.297 SP)
2021/03/22 10:55:36
| from account | formulas |
| to account | formulas |
| withdrawn | 2109.029208 VESTS |
| deposited | 1.115 STEEM |
| Transaction Info | Block #52221932/Virtual Operation #3 |
View Raw JSON Data
{
"trx_id": "0000000000000000000000000000000000000000",
"block": 52221932,
"trx_in_block": 4294967295,
"op_in_trx": 0,
"virtual_op": 3,
"timestamp": "2021-03-22T10:55:36",
"op": [
"fill_vesting_withdraw",
{
"from_account": "formulas",
"to_account": "formulas",
"withdrawn": "2109.029208 VESTS",
"deposited": "1.115 STEEM"
}
]
}formulasreceived 1.114 STEEM from power down installment (1.297 SP)2021/03/15 10:55:36
formulasreceived 1.114 STEEM from power down installment (1.297 SP)
2021/03/15 10:55:36
| from account | formulas |
| to account | formulas |
| withdrawn | 2109.029208 VESTS |
| deposited | 1.114 STEEM |
| Transaction Info | Block #52024294/Virtual Operation #6 |
View Raw JSON Data
{
"trx_id": "0000000000000000000000000000000000000000",
"block": 52024294,
"trx_in_block": 4294967295,
"op_in_trx": 0,
"virtual_op": 6,
"timestamp": "2021-03-15T10:55:36",
"op": [
"fill_vesting_withdraw",
{
"from_account": "formulas",
"to_account": "formulas",
"withdrawn": "2109.029208 VESTS",
"deposited": "1.114 STEEM"
}
]
}formulasreceived 1.114 STEEM from power down installment (1.297 SP)2021/03/08 10:55:36
formulasreceived 1.114 STEEM from power down installment (1.297 SP)
2021/03/08 10:55:36
| from account | formulas |
| to account | formulas |
| withdrawn | 2109.029208 VESTS |
| deposited | 1.114 STEEM |
| Transaction Info | Block #51828619/Virtual Operation #2 |
View Raw JSON Data
{
"trx_id": "0000000000000000000000000000000000000000",
"block": 51828619,
"trx_in_block": 4294967295,
"op_in_trx": 0,
"virtual_op": 2,
"timestamp": "2021-03-08T10:55:36",
"op": [
"fill_vesting_withdraw",
{
"from_account": "formulas",
"to_account": "formulas",
"withdrawn": "2109.029208 VESTS",
"deposited": "1.114 STEEM"
}
]
}formulasreceived 1.113 STEEM from power down installment (1.297 SP)2021/03/01 10:55:36
formulasreceived 1.113 STEEM from power down installment (1.297 SP)
2021/03/01 10:55:36
| from account | formulas |
| to account | formulas |
| withdrawn | 2109.029208 VESTS |
| deposited | 1.113 STEEM |
| Transaction Info | Block #51630007/Virtual Operation #2 |
View Raw JSON Data
{
"trx_id": "0000000000000000000000000000000000000000",
"block": 51630007,
"trx_in_block": 4294967295,
"op_in_trx": 0,
"virtual_op": 2,
"timestamp": "2021-03-01T10:55:36",
"op": [
"fill_vesting_withdraw",
{
"from_account": "formulas",
"to_account": "formulas",
"withdrawn": "2109.029208 VESTS",
"deposited": "1.113 STEEM"
}
]
}formulasstarted power down of 5.186 SP2021/02/22 10:55:36
formulasstarted power down of 5.186 SP
2021/02/22 10:55:36
| account | formulas |
| vesting shares | 8436.116832 VESTS |
| Transaction Info | Block #51431655/Trx a2189a41b4f3fbb54df1c9cd6b17a9ca089330a0 |
View Raw JSON Data
{
"trx_id": "a2189a41b4f3fbb54df1c9cd6b17a9ca089330a0",
"block": 51431655,
"trx_in_block": 16,
"op_in_trx": 0,
"virtual_op": 0,
"timestamp": "2021-02-22T10:55:36",
"op": [
"withdraw_vesting",
{
"account": "formulas",
"vesting_shares": "8436.116832 VESTS"
}
]
}2020/01/30 13:03:15
2020/01/30 13:03:15
| parent author | formulas |
| parent permlink | a-space-filling-curvature-the-hilbert-curve |
| author | steemitboard |
| permlink | steemitboard-notify-formulas-20200130t130314000z |
| title | |
| body | Congratulations @formulas! You received a personal award! <table><tr><td>https://steemitimages.com/70x70/http://steemitboard.com/@formulas/birthday1.png</td><td>Happy Birthday! - You are on the Steem blockchain for 1 year!</td></tr></table> <sub>_You can view [your badges on your Steem Board](https://steemitboard.com/@formulas) and compare to others on the [Steem Ranking](https://steemitboard.com/ranking/index.php?name=formulas)_</sub> > You can upvote this notification to help all Steem users. Learn how [here](https://steemit.com/steemitboard/@steemitboard/http-i-cubeupload-com-7ciqeo-png)! |
| json metadata | {"image":["https://steemitboard.com/img/notify.png"]} |
| Transaction Info | Block #40381531/Trx 6dead183a4cc2a1543962169d12eb183fd8ac0b3 |
View Raw JSON Data
{
"trx_id": "6dead183a4cc2a1543962169d12eb183fd8ac0b3",
"block": 40381531,
"trx_in_block": 11,
"op_in_trx": 0,
"virtual_op": 0,
"timestamp": "2020-01-30T13:03:15",
"op": [
"comment",
{
"parent_author": "formulas",
"parent_permlink": "a-space-filling-curvature-the-hilbert-curve",
"author": "steemitboard",
"permlink": "steemitboard-notify-formulas-20200130t130314000z",
"title": "",
"body": "Congratulations @formulas! You received a personal award!\n\n<table><tr><td>https://steemitimages.com/70x70/http://steemitboard.com/@formulas/birthday1.png</td><td>Happy Birthday! - You are on the Steem blockchain for 1 year!</td></tr></table>\n\n<sub>_You can view [your badges on your Steem Board](https://steemitboard.com/@formulas) and compare to others on the [Steem Ranking](https://steemitboard.com/ranking/index.php?name=formulas)_</sub>\n\n\n> You can upvote this notification to help all Steem users. Learn how [here](https://steemit.com/steemitboard/@steemitboard/http-i-cubeupload-com-7ciqeo-png)!",
"json_metadata": "{\"image\":[\"https://steemitboard.com/img/notify.png\"]}"
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]
}formulascustom json: vote2019/12/12 08:17:00
formulascustom json: vote
2019/12/12 08:17:00
| required auths | [] |
| required posting auths | ["formulas"] |
| id | vote |
| json | {"account":"formulas","author":"roguescientist84","permlink":"appics-v1-appics-im-54541","app":"partiko"} |
| Transaction Info | Block #38967293/Trx 1c36f093fb140d1b5bd586a2291f984a1f71caaa |
View Raw JSON Data
{
"trx_id": "1c36f093fb140d1b5bd586a2291f984a1f71caaa",
"block": 38967293,
"trx_in_block": 19,
"op_in_trx": 0,
"virtual_op": 0,
"timestamp": "2019-12-12T08:17:00",
"op": [
"custom_json",
{
"required_auths": [],
"required_posting_auths": [
"formulas"
],
"id": "vote",
"json": "{\"account\":\"formulas\",\"author\":\"roguescientist84\",\"permlink\":\"appics-v1-appics-im-54541\",\"app\":\"partiko\"}"
}
]
}formulasupvoted (100.00%) @roguescientist84 / appics-v1-appics-im-545412019/12/12 08:16:57
formulasupvoted (100.00%) @roguescientist84 / appics-v1-appics-im-54541
2019/12/12 08:16:57
| voter | formulas |
| author | roguescientist84 |
| permlink | appics-v1-appics-im-54541 |
| weight | 10000 (100.00%) |
| Transaction Info | Block #38967292/Trx 717335d369e2fbcb6bf48a84df0d460d64a8b22f |
View Raw JSON Data
{
"trx_id": "717335d369e2fbcb6bf48a84df0d460d64a8b22f",
"block": 38967292,
"trx_in_block": 26,
"op_in_trx": 0,
"virtual_op": 0,
"timestamp": "2019-12-12T08:16:57",
"op": [
"vote",
{
"voter": "formulas",
"author": "roguescientist84",
"permlink": "appics-v1-appics-im-54541",
"weight": 10000
}
]
}formulasclaimed reward balance: 0.057 SP2019/11/01 22:30:33
formulasclaimed reward balance: 0.057 SP
2019/11/01 22:30:33
| account | formulas |
| reward steem | 0.000 STEEM |
| reward sbd | 0.000 SBD |
| reward vests | 92.085832 VESTS |
| Transaction Info | Block #37805763/Trx 4a228b725dd72631f81c1ac6e29634bcf79fbc3c |
View Raw JSON Data
{
"trx_id": "4a228b725dd72631f81c1ac6e29634bcf79fbc3c",
"block": 37805763,
"trx_in_block": 8,
"op_in_trx": 0,
"virtual_op": 0,
"timestamp": "2019-11-01T22:30:33",
"op": [
"claim_reward_balance",
{
"account": "formulas",
"reward_steem": "0.000 STEEM",
"reward_sbd": "0.000 SBD",
"reward_vests": "92.085832 VESTS"
}
]
}2019/08/16 23:21:48
2019/08/16 23:21:48
| delegator | steem |
| delegatee | formulas |
| vesting shares | 1983.554640 VESTS |
| Transaction Info | Block #35615529/Trx b330114adf33fe7395bc559785658a595026f776 |
View Raw JSON Data
{
"trx_id": "b330114adf33fe7395bc559785658a595026f776",
"block": 35615529,
"trx_in_block": 10,
"op_in_trx": 0,
"virtual_op": 0,
"timestamp": "2019-08-16T23:21:48",
"op": [
"delegate_vesting_shares",
{
"delegator": "steem",
"delegatee": "formulas",
"vesting_shares": "1983.554640 VESTS"
}
]
}2019/06/25 12:52:09
2019/06/25 12:52:09
| delegator | steem |
| delegatee | formulas |
| vesting shares | 21503.399141 VESTS |
| Transaction Info | Block #34108777/Trx f3b4ea2bd013c606d95707513ccb6eaad0c9d6b3 |
View Raw JSON Data
{
"trx_id": "f3b4ea2bd013c606d95707513ccb6eaad0c9d6b3",
"block": 34108777,
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"virtual_op": 0,
"timestamp": "2019-06-25T12:52:09",
"op": [
"delegate_vesting_shares",
{
"delegator": "steem",
"delegatee": "formulas",
"vesting_shares": "21503.399141 VESTS"
}
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}formulasupvoted (100.00%) @clumsysilverdad / antibiotic-resistant-deaths2019/05/17 21:06:18
formulasupvoted (100.00%) @clumsysilverdad / antibiotic-resistant-deaths
2019/05/17 21:06:18
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}delegate.lafonaupvoted (5.00%) @formulas / a-monstrous-formula-ramanujan-s-approximation-of-pi2019/03/15 03:40:36
delegate.lafonaupvoted (5.00%) @formulas / a-monstrous-formula-ramanujan-s-approximation-of-pi
2019/03/15 03:40:36
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}formulasreceived 0.057 SP author reward for @formulas / a-space-filling-curvature-the-hilbert-curve2019/03/13 17:27:54
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2019/03/13 17:27:54
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2019/03/12 15:15:09
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| memo | BuildTeam is proud to announce the release of DLease.io - our flagship P2P leasing marketplace app, aimed at assisting Steemians in leasing and delegating STEEM POWER for daily passive returns, with recent yields as high as 20% APR. DLease.io is a professional grade app , designed to replace the current MinnowBooster.net leasing market which has to date facilitated nearly 20 Million STEEM POWER in lease value to happy BuildTeam customers. View the new app at https://dlease.io/ or read the announcement post on https://steemit.com/@dlease. |
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}2019/03/11 23:11:51
2019/03/11 23:11:51
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| body | That is a pretty fun math topic. Unfortunately, steemstem cannot upvote this type of posts since the images are copy-right protected as a result of youtube's copyright policy.  |
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2019/03/10 06:38:36
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2019/03/09 08:54:54
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}steemitboardupvoted (2.00%) @formulas / a-space-filling-curvature-the-hilbert-curve2019/03/09 01:16:33
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2019/03/09 01:16:33
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2019/03/09 01:16:30
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| author | steemitboard |
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}formulasvoted for witness @steemitboard2019/03/08 09:43:27
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2019/03/08 09:43:27
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}formulasupvoted (100.00%) @edicted / behind-the-curve-flat-earth-conspiracy-documentary2019/03/07 05:14:39
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2019/03/07 05:14:39
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}formulasupvoted (30.00%) @rogueliving / punk-rock-bathrooms-part-iv-yamhill-pub-portland-oregon2019/03/06 20:20:51
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2019/03/06 20:20:51
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}steemitboardupvoted (1.00%) @formulas / a-space-filling-curvature-the-hilbert-curve2019/03/06 19:17:42
steemitboardupvoted (1.00%) @formulas / a-space-filling-curvature-the-hilbert-curve
2019/03/06 19:17:42
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2019/03/06 19:17:39
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| body | Congratulations @formulas! You have completed the following achievement on the Steem blockchain and have been rewarded with new badge(s) : <table><tr><td>https://steemitimages.com/60x70/http://steemitboard.com/@formulas/posts.png?201903061812</td><td>You published more than 10 posts. Your next target is to reach 20 posts.</td></tr> </table> <sub>_[Click here to view your Board](https://steemitboard.com/@formulas)_</sub> <sub>_If you no longer want to receive notifications, reply to this comment with the word_ `STOP`</sub> To support your work, I also upvoted your post! ###### [Vote for @Steemitboard as a witness](https://v2.steemconnect.com/sign/account-witness-vote?witness=steemitboard&approve=1) and get one more award and increased upvotes! |
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}formulasupvoted (100.00%) @formulas / a-space-filling-curvature-the-hilbert-curve2019/03/06 18:08:27
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2019/03/06 18:08:27
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formulascustom json: vote
2019/03/06 18:08:03
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formulasupvoted (50.00%) @partiko / 10x-the-value-of-partiko-points-its-possible-exfply8f
2019/03/06 18:07:57
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}hozn4ukhlytriwcupvoted (15.00%) @formulas / a-space-filling-curvature-the-hilbert-curve2019/03/06 18:05:33
hozn4ukhlytriwcupvoted (15.00%) @formulas / a-space-filling-curvature-the-hilbert-curve
2019/03/06 18:05:33
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2019/03/06 17:43:36
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2019/03/06 17:43:36
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2019/03/06 17:43:36
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cheneatsupvoted (14.00%) @formulas / a-space-filling-curvature-the-hilbert-curve
2019/03/06 17:42:36
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formulasupdated options for a-space-filling-curvature-the-hilbert-curve
2019/03/06 17:27:54
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formulaspublished a new post: a-space-filling-curvature-the-hilbert-curve
2019/03/06 17:27:54
| parent author | |
| parent permlink | science |
| author | formulas |
| permlink | a-space-filling-curvature-the-hilbert-curve |
| title | A Space Filling Curvature : the Hilbert Curve |
| body | <center><h1> A Space Filling Curvature</h1></center> <center>  These are the first few iterations of the Hilbert curve, a space filling curve : a curve whose range contains the entire 2D plane, this can be extended to a 3D space or more with n dimensions, however it gets harder and for your understanding, we'll stick to a 2D plane. Starting with the construction on the left of the upper picture, which is the first iteration, each following iteration is built using the previous one, by copying the pattern on the upper left and upper right, and rotating it on the bottom left and bottom right. Joining the patterns together will give you the next iteration. As it's quite hard to translate the iterations through words I strongly suggest you try to create the curve for yourself, underneath are the 3 first iterations of the curve, red first, blue second and black third.  The fifth iteration can be found underneath, the color of the curve also changes as you progress along the line. The picture is from [3 blue 1 Brown](https://www.youtube.com/channel/UCYO_jab_esuFRV4b17AJtAw), an awesome math channel on YouTube.  So why talk about the curve ? Apart from its aesthetics, this curve is used in computer science because of one of its properties, it conserves locality quite well meaning that two points on the 2D plane will also be, in general, quite close on the order created by the curve, for example, the range of IP addresses used by computers can be mapped into a picture using the Hilbert curve. ... Thanks for sticking till the end, if you enjoyed this post, there's more @formulas on Steemit, also check us out on [Instagram](https://www.instagram.com/formulas_for_your_comfort/) or on [Facebook](https://www.facebook.com/Formulasforyourcomfort/) . Any advice is welcomed, just starting out on Steemit ! Thanks for making it to the end ! </center> |
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"body": "<center><h1> A Space Filling Curvature</h1></center>\n\n<center>\n\n\n\nThese are the first few iterations of the Hilbert curve, a space filling curve : a curve whose range contains the entire 2D plane, this can be extended to a 3D space or more with n dimensions, however it gets harder and for your understanding, we'll stick to a 2D plane.\n\nStarting with the construction on the left of the upper picture, which is the first iteration, each following iteration is built using the previous one, by copying the pattern on the upper left and upper right, and rotating it on the bottom left and bottom right. Joining the patterns together will give you the next iteration.\n\nAs it's quite hard to translate the iterations through words I strongly suggest you try to create the curve for yourself, underneath are the 3 first iterations of the curve, red first, blue second and black third.\n\n\n\nThe fifth iteration can be found underneath, the color of the curve also changes as you progress along the line. The picture is from [3 blue 1 Brown](https://www.youtube.com/channel/UCYO_jab_esuFRV4b17AJtAw), an awesome math channel on YouTube.\n\n\n\n So why talk about the curve ?\n\nApart from its aesthetics, this curve is used in computer science because of one of its properties, it conserves locality quite well meaning that two points on the 2D plane will also be, in general, quite close on the order created by the curve, for example, the range of IP addresses used by computers can be mapped into a picture using the Hilbert curve.\n\n\n...\nThanks for sticking till the end, if you enjoyed this post, there's more @formulas on Steemit, also check us out on [Instagram](https://www.instagram.com/formulas_for_your_comfort/) or on [Facebook](https://www.facebook.com/Formulasforyourcomfort/) .\n\nAny advice is welcomed, just starting out on Steemit ! Thanks for making it to the end !\n</center>",
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2019/02/28 08:59:24
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2019/02/26 12:46:21
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2019/02/26 08:01:36
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